Log in

Relevant bibliographies by topics / Quaternion Spaces / Journal articles

To see the other types of publications on this topic, follow the link: Quaternion Spaces.

Journal articles on the topic 'Quaternion Spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Quaternion Spaces.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

NG, CHI-KEUNG. "On quaternionic functional analysis." Mathematical Proceedings of the Cambridge Philosophical Society 143, no. 2 (2007): 391–406. http://dx.doi.org/10.1017/s0305004107000187.

Full text

Abstract:

AbstractIn this paper, we will show that the category of quaternion vector spaces, the category of (both one-sided and two sided) quaternion Hilbert spaces and the category of quaternion B*-algebras are equivalent to the category of real vector spaces, the category of real Hilbert spaces and the category of real C*-algebras respectively. We will also give a Riesz representation theorem for quaternion Hilbert spaces and will extend the main results in [12] (namely, we will give the full versions of the Gelfand–Naimark theorem and the Gelfand theorem for quaternion B*-algebras). On our way to th

APA, Harvard, Vancouver, ISO, and other styles

2

Al-Omari, Shrideh K. Q., and D. Baleanu. "Quaternion fourier integral operators for spaces of generalized quaternions." Mathematical Methods in the Applied Sciences 41, no. 18 (2018): 9477–84. http://dx.doi.org/10.1002/mma.5304.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Weng, Zi-Hua. "Field Equations in the Complex Quaternion Spaces." Advances in Mathematical Physics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/450262.

Full text

Abstract:

The paper aims to adopt the complex quaternion and octonion to formulate the field equations for electromagnetic and gravitational fields. Applying the octonionic representation enables one single definition to combine some physics contents of two fields, which were considered to be independent of each other in the past. J. C. Maxwell applied simultaneously the vector terminology and the quaternion analysis to depict the electromagnetic theory. This method edified the paper to introduce the quaternion and octonion spaces into the field theory, in order to describe the physical feature of elect

APA, Harvard, Vancouver, ISO, and other styles

4

Agarwal, Ravi P., Hamed H. Alsulami, Erdal Karapınar, and Farshid Khojasteh. "Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/171624.

Full text

Abstract:

Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. In this paper, we will show that the quaternion-valued metric spaces are subspaces of cone metric spaces. Consequently, the fixed point results in such spaces can be derived as a consequence of the corresponding existing fixed point result in the setting cone metric spaces.

APA, Harvard, Vancouver, ISO, and other styles

5

Pap, Margit, and Ferenc Schipp. "Quaternionic Blaschke Group." Mathematics 7, no. 1 (2018): 33. http://dx.doi.org/10.3390/math7010033.

Full text

Abstract:

In the complex case, the Blaschke group was introduced and studied. It turned out that in the complex case this group plays important role in the construction of analytic wavelets and multiresolution analysis in different analytic function spaces. The extension of the wavelet theory to quaternion variable function spaces would be very beneficial in the solution of many problems in physics. A first step in this direction is to give the quaternionic analogue of the Blaschke group. In this paper we introduce the quaternionic Blaschke group and we study the properties of this group and its subgrou

APA, Harvard, Vancouver, ISO, and other styles

6

Kopeiko, V. I. "Quadratic spaces and quaternion algebras." Journal of Soviet Mathematics 37, no. 2 (1987): 990–98. http://dx.doi.org/10.1007/bf01089092.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

El-Sayed Ahmed, Ahmed, Saleh Omran, and Abdalla J. Asad. "Fixed Point Theorems in Quaternion-Valued Metric Spaces." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/258985.

Full text

Abstract:

The aim of this paper is twofold. First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting. Secondly, we prove a fixed point theorem in normal cone metric spaces for four self-maps satisfying a general contraction condition.

APA, Harvard, Vancouver, ISO, and other styles

8

Kruglikov, Boris, and Henrik Winther. "Submaximally symmetric quaternion Hermitian structures." International Journal of Mathematics 31, no. 11 (2020): 2050084. http://dx.doi.org/10.1142/s0129167x20500846.

Full text

Abstract:

We consider and resolve the gap problem for almost quaternion-Hermitian structures, i.e. we determine the maximal and submaximal symmetry dimensions, both for Lie algebras and Lie groups, in the class of almost quaternion-Hermitian manifolds. We classify all structures with such symmetry dimensions. Geometric properties of the submaximally symmetric spaces are studied, in particular, we identify locally conformally quaternion-Kähler structures as well as quaternion-Kähler with torsion.

APA, Harvard, Vancouver, ISO, and other styles

9

GOUDA, Y. GH, and H. N. ALAA. "QUATERNION HOMOLOGY OF BANACH SPACE." Tamkang Journal of Mathematics 30, no. 1 (1999): 29–34. http://dx.doi.org/10.5556/j.tkjm.30.1999.4201.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Groenewald, Gilbert J., Dawie B. Janse van Rensburg, André C. M. Ran, Frieda Theron, and Madelein Van Straaten. "Polar decompositions of quaternion matrices in indefinite inner product spaces." Electronic Journal of Linear Algebra 37 (October 29, 2021): 659–70. http://dx.doi.org/10.13001/ela.2021.6411.

Full text

Abstract:

Polar decompositions of quaternion matrices with respect to a given indefinite inner product are studied. Necessary and sufficient conditions for the existence of an $H$-polar decomposition are found. In the process, an equivalent to Witt's theorem on extending $H$-isometries to $H$-unitary matrices is given for quaternion matrices.

APA, Harvard, Vancouver, ISO, and other styles

11

Tozzi, Arturo, James F. Peters, Norbert Jausovec, et al. "Nervous Activity of the Brain in Five Dimensions." Biophysica 1, no. 1 (2021): 38–47. http://dx.doi.org/10.3390/biophysica1010004.

Full text

Abstract:

The nervous activity of the brain takes place in higher-dimensional functional spaces. It has been proposed that the brain might be equipped with phase spaces characterized by four spatial dimensions plus time, instead of the classical three plus time. This suggests that global visualization methods for exploiting four-dimensional maps of three-dimensional experimental data sets might be used in neuroscience. We asked whether it is feasible to describe the four-dimensional trajectories (plus time) of two-dimensional (plus time) electroencephalographic traces (EEG). We made use of quaternion or

APA, Harvard, Vancouver, ISO, and other styles

12

Alexandrov, Sergei, and Sibasish Banerjee. "Modularity, quaternion-Kähler spaces, and mirror symmetry." Journal of Mathematical Physics 54, no. 10 (2013): 102301. http://dx.doi.org/10.1063/1.4826603.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Gürlebeck, K., U. Kähler, M. V. Shapiro, and L. M. Tovar. "On Qp-spaces of quaternion-valued functions." Complex Variables, Theory and Application: An International Journal 39, no. 2 (1999): 115–35. http://dx.doi.org/10.1080/17476939908815186.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Castrillón López, M., P. M. Gadea, and J. A. Oubiña. "Homogeneous Quaternionic Kähler Structures on Eight-Dimensional Non-Compact Quaternion-Kähler Symmetric Spaces." Mathematical Physics, Analysis and Geometry 12, no. 1 (2008): 47–74. http://dx.doi.org/10.1007/s11040-008-9051-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Gao, Liming, Huiling Zhu, Hankz Hankui Zhuo, and Jin Xu. "Dual Quaternion Embeddings for Link Prediction." Applied Sciences 11, no. 12 (2021): 5572. http://dx.doi.org/10.3390/app11125572.

Full text

Abstract:

The applications of knowledge graph have received much attention in the field of artificial intelligence. The quality of knowledge graphs is, however, often influenced by missing facts. To predict the missing facts, various solid transformation based models have been proposed by mapping knowledge graphs into low dimensional spaces. However, most of the existing transformation based approaches ignore that there are multiple relations between two entities, which is common in the real world. In order to address this challenge, we propose a novel approach called DualQuatE that maps entities and re

APA, Harvard, Vancouver, ISO, and other styles

16

Oh, Yun Myung, and Joon Hyuk Kang. "Lagrangian $H$-umbilical submanifolds in quaternion Euclidean spaces." Tsukuba Journal of Mathematics 29, no. 1 (2005): 233–45. http://dx.doi.org/10.21099/tkbjm/1496164901.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Mesnaoui, Abdeslam. "Unitary bordism of classifying spaces of quaternion groups." Pacific Journal of Mathematics 142, no. 1 (1990): 49–67. http://dx.doi.org/10.2140/pjm.1990.142.49.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Mesnaoui, Abdeslam. "Unitary cobordism of classifying spaces of quaternion groups." Pacific Journal of Mathematics 142, no. 1 (1990): 69–101. http://dx.doi.org/10.2140/pjm.1990.142.69.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Vakhania, N. N. "Random Vectors with Values in Quaternion Hilbert Spaces." Theory of Probability & Its Applications 43, no. 1 (1999): 99–115. http://dx.doi.org/10.1137/s0040585x97976696.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Maphane, Oteng. "Cohomology algebra of mapping spaces between quaternion Grassmannians." Proceedings of the International Geometry Center 16, no. 2 (2023): 161–72. http://dx.doi.org/10.15673/pigc.v16i2.2453.

Full text

Abstract:

Let Gk,n(ℍ) for 2≤k<n denote the quaternion Grassmann manifold of k-dimensional vector subspaces of ℍn. In this paper we compute, in terms of the Sullivan models, the rational cohomology algebra of the component of the inclusion i: Gk,n(ℍ) → Gk,n+r(ℍ) in the space of mappings from Gk,n(ℍ) to Gk,n+r(ℍ) for r≥1 and, more generally, we show that the cohomology of Map(Gk,n(ℍ),Gk,n+r(ℍ);i) contains a truncated algebra ℚ[x]x4r+n+k^{2}-nk for n≥4.

APA, Harvard, Vancouver, ISO, and other styles

21

Gürlebeck, K., and H. R. Malonek. "On strict inclusions of weighted dirichlet spaces of monogenic functions." Bulletin of the Australian Mathematical Society 64, no. 1 (2001): 33–50. http://dx.doi.org/10.1017/s0004972700019663.

Full text

Abstract:

We consider a scale of weighted spaces a quaternion-valued functions of three real variables. This scale generalises the idea of Qp-spaces in complex function theory. The goal of this paper is to prove that the inclusions of spaces from the scale are strict inclusion. As a tool we prove some properties of special monogenic polynomials which have an importance in their own right independently of their use in the scale of Qp-spaces.

APA, Harvard, Vancouver, ISO, and other styles

22

Ahmed, A. El-Sayed. "On Weighted α-Besov Spaces and α-Bloch Spaces of Quaternion-Valued Functions". Numerical Functional Analysis and Optimization 29, № 9-10 (2008): 1064–81. http://dx.doi.org/10.1080/01630560802418086.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Khokulan, M., K. Thirulogasanthar, and S. Srisatkunarajah. "Discrete Frames on Finite Dimensional Left Quaternion Hilbert Spaces." Axioms 6, no. 4 (2017): 3. http://dx.doi.org/10.3390/axioms6010003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Tobar, Felipe A., and Danilo P. Mandic. "Quaternion Reproducing Kernel Hilbert Spaces: Existence and Uniqueness Conditions." IEEE Transactions on Information Theory 60, no. 9 (2014): 5736–49. http://dx.doi.org/10.1109/tit.2014.2333734.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Nagatomo, Yasuyuki. "Representation theory and ADHM-construction on quaternion symmetric spaces." Transactions of the American Mathematical Society 353, no. 11 (2001): 4333–55. http://dx.doi.org/10.1090/s0002-9947-01-02829-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Tebege, Samuel. "Polar actions on Hermitian and quaternion-Kähler symmetric spaces." Geometriae Dedicata 129, no. 1 (2007): 155–71. http://dx.doi.org/10.1007/s10711-007-9202-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Kawamura, Kazuhiro. "Banach–Stone Theorem for Quaternion- Valued Continuous Function Spaces." Mediterranean Journal of Mathematics 13, no. 6 (2016): 4745–61. http://dx.doi.org/10.1007/s00009-016-0773-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

AMANN, MANUEL. "PARTIAL CLASSIFICATION RESULTS FOR POSITIVE QUATERNION KÄHLER MANIFOLDS." International Journal of Mathematics 23, no. 02 (2012): 1250038. http://dx.doi.org/10.1142/s0129167x12500383.

Full text

Abstract:

Positive Quaternion Kähler Manifolds are Riemannian manifolds with holonomy contained in Sp(n)Sp(1) and with positive scalar curvature. Conjecturally, they are symmetric spaces. We prove this conjecture in dimension 20 under additional assumptions and we provide recognition theorems for the real Grassmannian [Formula: see text] in almost all dimensions.

APA, Harvard, Vancouver, ISO, and other styles

29

K, Dr Gunasekaran. "Quaternion Doubly Stochastic Matrices Over Quaternion Vector Spaces and the Extreme Points on a Birkhoff�s Theorem." International Journal for Research in Applied Science and Engineering Technology 7, no. 2 (2019): 853–58. http://dx.doi.org/10.22214/ijraset.2019.2130.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Avetisyan, Karen, Klaus Gürlebeck, and Wolfgang Sprössig. "Harmonic Conjugates in Weighted Bergman Spaces of Quaternion-Valued Functions." Computational Methods and Function Theory 9, no. 2 (2009): 593–608. http://dx.doi.org/10.1007/bf03321747.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Weng, Zi Hua. "Gradient Force of Electromagnetic Strength to Drive Precisely the Small Mass." Key Engineering Materials 656-657 (July 2015): 670–75. http://dx.doi.org/10.4028/www.scientific.net/kem.656-657.670.

Full text

Abstract:

J. C. Maxwell applied the quaternion analysis and vector terminology to study the physics properties of electromagnetic field. Nowadays the spaces of electromagnetic and gravitational fields can be chosen as the quaternion spaces, while their coordinates are able to be the complex numbers. The complex quaternion space can be used to describe the physics feature of forces in the electromagnetic and gravitational fields. The paper is capable of writing the terms of force into a single definition, including the inertial force, gravity, electromagnetic force, energy gradient and so on. Further the

APA, Harvard, Vancouver, ISO, and other styles

32

KAWAUCHI, AKIO. "ON LINKING SIGNATURE INVARIANTS OF SURFACE-KNOTS." Journal of Knot Theory and Its Ramifications 11, no. 03 (2002): 369–85. http://dx.doi.org/10.1142/s0218216502001688.

Full text

Abstract:

We show that the linking signature of a closed oriented 4-manifold with infinite cyclic first homology is twice the Rochlin invariant of an exact leaf with a spin support if such a leaf exists. In particular, the linking signature of a surface-knot in the 4-sphere is twice the Rochlin invariant of an exact leaf of an associated closed spin 4-manifold with infinite cyclic first homology. As an application, we characterize a difference between the spin structures on a homology quaternion space in terms of closed oriented 4-manifolds with infinite cyclic first homology, so that we can obtain exam

APA, Harvard, Vancouver, ISO, and other styles

33

Kamal, A., та T. I. Yassen. "Quaternion-valued functions in hyperholomorphic Fα G(p,q,s) spaces". General Letters in Mathematics 8, № 1 (2020): 16–25. http://dx.doi.org/10.31559/glm.8.1.3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Kamal, A., та T. I. Yassen. "Quaternion-valued functions in hyperholomorphic Fα G(p,q,s) spaces". General Letters in Mathematics 8, № 1 (2020): 16–25. http://dx.doi.org/10.31559/glm2020.8.1.3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Gauduchon, Paul, Andrei Moroianu, and Uwe Semmelmann. "Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces." Inventiones mathematicae 184, no. 2 (2010): 389–403. http://dx.doi.org/10.1007/s00222-010-0291-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Kumari, Anju, and Hemant Singh. "Cohomology classification of spaces with free S1 and S3-actions." Filomat 36, no. 20 (2022): 7021–26. http://dx.doi.org/10.2298/fil2220021k.

Full text

Abstract:

This paper gives the cohomology classification of finitistic spaces X equipped with free actions of the group G = S3 and the cohomology ring of the orbit space X/G is isomorphic to the integral cohomology quaternion projective space HPn. We have proved that the integral cohomology ring of X is isomorphic either to S4n+3 or S3 ? HPn. Similar results with other coefficient groups and for G = S1 actions are also discussed. As an application, we determine a bound of the index and co-index of cohomology sphere S2n+1 (resp. S4n+3) with respect to S1-actions (resp. S3-actions).

APA, Harvard, Vancouver, ISO, and other styles

37

Muraleetharan, B., and K. Thirulogasanthar. "Coherent states on quaternion slices and a measurable field of Hilbert spaces." Journal of Geometry and Physics 110 (December 2016): 233–47. http://dx.doi.org/10.1016/j.geomphys.2016.08.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Catoni, Francesco, Roberto Cannata, and Paolo Zampetti. "An Introduction to Constant Curvature Spaces in the Commutative (Segre) Quaternion Geometry." Advances in Applied Clifford Algebras 16, no. 2 (2006): 85–101. http://dx.doi.org/10.1007/s00006-006-0010-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Alpay, Daniel, Fabrizio Colombo, David P. Kimsey, and Irene Sabadini. "Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces." Applied Mathematics and Computation 286 (August 2016): 115–25. http://dx.doi.org/10.1016/j.amc.2016.03.034.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Franc, Cameron, and Marc Masdeu. "Computing fundamental domains for the Bruhat–Tits tree for , -adic automorphic forms, and the canonical embedding of Shimura curves." LMS Journal of Computation and Mathematics 17, no. 1 (2014): 1–23. http://dx.doi.org/10.1112/s1461157013000235.

Full text

Abstract:

AbstractWe describe algorithms that allow the computation of fundamental domains in the Bruhat–Tits tree for the action of discrete groups arising from quaternion algebras. These algorithms are used to compute spaces of rigid modular forms of arbitrary even weight, and we explain how to evaluate such forms to high precision using overconvergent methods. Finally, these algorithms are applied to the calculation of conjectural equations for the canonical embedding of p-adically uniformizable rational Shimura curves. We conclude with an example in the case of a genus 4 Shimura curve.

APA, Harvard, Vancouver, ISO, and other styles

41

Alpay, Daniel, María E. Luna-Elizarrarás, Michael Shapiro, and Daniele Struppa. "Gleason’s problem, rational functions and spaces of left-regular functions: The split-quaternion setting." Israel Journal of Mathematics 226, no. 1 (2018): 319–49. http://dx.doi.org/10.1007/s11856-018-1696-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Ludkowski, S. V., and W. Sprössig. "Ordered Representations of Normal and Super-Differential Operators in Quaternion and Octonion Hilbert Spaces." Advances in Applied Clifford Algebras 20, no. 2 (2009): 321–42. http://dx.doi.org/10.1007/s00006-009-0180-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

SINGH, K. SOMORJIT, HEMANT KUMAR SINGH, and TEJ BAHADUR SINGH. "FREE ACTION OF FINITE GROUPS ON SPACES OF COHOMOLOGY TYPE (0, b)." Glasgow Mathematical Journal 60, no. 3 (2018): 673–80. http://dx.doi.org/10.1017/s0017089517000362.

Full text

Abstract:

AbstractLet G be a finite group acting freely on a finitistic space X having cohomology type (0, b) (for example, $\mathbb S$n × $\mathbb S$2n is a space of type (0, 1) and the one-point union $\mathbb S$n ∨ $\mathbb S$2n ∨ $\mathbb S$3n is a space of type (0, 0)). It is known that a finite group G that contains ℤp ⊕ ℤp ⊕ ℤp, p a prime, cannot act freely on $\mathbb S$n × $\mathbb S$2n. In this paper, we show that if a finite group G acts freely on a space of type (0, 1), where n is odd, then G cannot contain ℤp ⊕ ℤp, p an odd prime. For spaces of cohomology type (0, 0), we show that every p-s

APA, Harvard, Vancouver, ISO, and other styles

44

El-Sayed Ahmed, A., та Fatima Asiri. "Characterizations of Weighted Bloch Space by Q p, ω-Type Spaces of Quaternion-Valued Functions". Journal of Computational and Theoretical Nanoscience 12, № 11 (2015): 4250–55. http://dx.doi.org/10.1166/jctn.2015.4346.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Ludkovsky, S. V. "Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra." Journal of Mathematical Sciences 144, no. 4 (2007): 4301–66. http://dx.doi.org/10.1007/s10958-007-0273-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Gorodski, Claudio, and Francisco J. Gozzi. "Representations with $$\mathsf{Sp}(1)^k$$ Sp ( 1 ) k -reductions and quaternion-Kähler symmetric spaces." Mathematische Zeitschrift 290, no. 1-2 (2018): 561–75. http://dx.doi.org/10.1007/s00209-017-2031-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Moffat, J. W. "Erratum: Higher‐dimensional Riemannian geometry and quaternion and octonion spaces[J. Math. Phys. 25, 347(1984)]." Journal of Mathematical Physics 26, no. 1 (1985): 214. http://dx.doi.org/10.1063/1.526793.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Kudla, Stephen S., and John J. Millson. "Tubes, Cohomology with Growth Conditions and an Application to the Theta Correspondence." Canadian Journal of Mathematics 40, no. 1 (1988): 1–37. http://dx.doi.org/10.4153/cjm-1988-001-4.

Full text

Abstract:

In this paper we continue our effort [11], [12], [13], [14] to interpret geometrically the harmonic forms on certain locally symmetric spaces constructed by using the theta correspondence. The point of this paper is to prove an integral formula, Theorem 2.1, which will allow us to generalize the results obtained in the above papers to the finite volume case (the previous papers treated only the compact case). We then apply our integral formula to certain finite volume quotients of symmetric spaces of orthogonal groups. The main result obtained is Theorem 4.2 which is described below. We let (,

APA, Harvard, Vancouver, ISO, and other styles

49

LUKIERSKI, J., and A. NOWICKI. "QUATERNIONIC SIX-DIMENSIONAL (SUPER)TWISTOR FORMALISM AND COMPOSITE (SUPER)SPACES." Modern Physics Letters A 06, no. 03 (1991): 189–97. http://dx.doi.org/10.1142/s0217732391000154.

Full text

Abstract:

We extend by real quaternions the D=4 twistor and supertwistor formalism. The notion of quaternionic D=4 composite superspaces is considered. The construction of D=6 real composite space-time variables as well as D=6 real composite superspaces is shown.

APA, Harvard, Vancouver, ISO, and other styles

50

GHILONI, RICCARDO, VALTER MORETTI, and ALESSANDRO PEROTTI. "CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES." Reviews in Mathematical Physics 25, no. 04 (2013): 1350006. http://dx.doi.org/10.1142/s0129055x13500062.

Full text

Abstract:

The aim of this work is to define a continuous functional calculus in quaternionic Hilbert spaces, starting from basic issues regarding the notion of spherical spectrum of a normal operator. As properties of the spherical spectrum suggest, the class of continuous functions to consider in this setting is the one of slice quaternionic functions. Slice functions generalize the concept of slice regular function, which comprises power series with quaternionic coefficients on one side and that can be seen as an effective generalization to quaternions of holomorphic functions of one complex variable.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!