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Relevant bibliographies by topics / Hypergroups

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Academic literature on the topic 'Hypergroups'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Hypergroups"

1

Rösler, Margit, and Michael Voit. "Partial Characters and Signed Quotient Hypergroups." Canadian Journal of Mathematics 51, no. 1 (February 1, 1999): 96–116. http://dx.doi.org/10.4153/cjm-1999-006-6.

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AbstractIfGis a closed subgroup of a commutative hypergroupK, then the coset spaceK/Gcarries a quotient hypergroup structure. In this paper, we study related convolution structures onK/Gcoming fromdeformations of the quotient hypergroup structure by certain functions onKwhich we call partial characters with respect toG. They are usually not probability-preserving, but lead to so-called signed hypergroups onK/G. A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair (U(n, 1),U(n)) are discussed.

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Muruganandam, Varadharajan. "Fourier algebra of a hypergroup. I." Journal of the Australian Mathematical Society 82, no. 1 (February 2007): 59–83. http://dx.doi.org/10.1017/s144678870001747x.

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AbstractIn this article we study the Fourier space of a general hypergroup and its multipliers. The main result of this paper characterizes commutative hypergroups whose Fourier space forms a Banach algebra under pointwise product with an equivalent norm. Among those hypergroups whose Fourier space forms a Banach algebra, we identify a subclass for which the Gelfand spectrum of the Fourier algebra is equal to the underlying hypergroup. This subclass includes for instance, Jacobi hypergroups, Bessel-Kingman hypergroups.

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Zhang, Xiaohong, Florentin Smarandache, and Yingcang Ma. "Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups." Symmetry 11, no. 10 (October 1, 2019): 1217. http://dx.doi.org/10.3390/sym11101217.

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The symmetry of hyperoperation is expressed by hypergroup, more extensive hyperalgebraic structures than hypergroups are studied in this paper. The new concepts of neutrosophic extended triplet semihypergroup (NET- semihypergroup) and neutrosophic extended triplet hypergroup (NET-hypergroup) are firstly introduced, some basic properties are obtained, and the relationships among NET- semihypergroups, regular semihypergroups, NET-hypergroups and regular hypergroups are systematically are investigated. Moreover, pure NET-semihypergroup and pure NET-hypergroup are investigated, and a strucuture theorem of commutative pure NET-semihypergroup is established. Finally, a new notion of weak commutative NET-semihypergroup is proposed, some important examples are obtained by software MATLAB, and the following important result is proved: every pure and weak commutative NET-semihypergroup is a disjoint union of some regular hypergroups which are its subhypergroups.

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De Salvo, Mario, Dario Fasino, Domenico Freni, and Giovanni Lo Faro. "G-Hypergroups: Hypergroups with a Group-Isomorphic Heart." Mathematics 10, no. 2 (January 13, 2022): 240. http://dx.doi.org/10.3390/math10020240.

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Hypergroups can be subdivided into two large classes: those whose heart coincide with the entire hypergroup and those in which the heart is a proper sub-hypergroup. The latter class includes the family of 1-hypergroups, whose heart reduces to a singleton, and therefore is the trivial group. However, very little is known about hypergroups that are neither 1-hypergroups nor belong to the first class. The goal of this work is to take a first step in classifying G-hypergroups, that is, hypergroups whose heart is a nontrivial group. We introduce their main properties, with an emphasis on G-hypergroups whose the heart is a torsion group. We analyze the main properties of the stabilizers of group actions of the heart, which play an important role in the construction of multiplicative tables of G-hypergroups. Based on these results, we characterize the G-hypergroups that are of type U on the right or cogroups on the right. Finally, we present the hyperproduct tables of all G-hypergroups of size not larger than 5, apart of isomorphisms.

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Kankaras, Milica, and Irina Cristea. "Fuzzy Reduced Hypergroups." Mathematics 8, no. 2 (February 17, 2020): 263. http://dx.doi.org/10.3390/math8020263.

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The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case. In particular we define and study the fuzzy reduced hypergroups. New fundamental relations are defined on a crisp hypergroup endowed with a fuzzy set, that lead to the concept of fuzzy reduced hypergroup. This is a hypergroup in which the equivalence class of any element, with respect to a determined fuzzy set, is a singleton. The most well known fuzzy set considered on a hypergroup is the grade fuzzy set, used for the study of the fuzzy grade of a hypergroup. Based on this, in the second part of the paper, we study the fuzzy reducibility of some particular classes of crisp hypergroups with respect to the grade fuzzy set.

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De Salvo, Mario, Dario Fasino, Domenico Freni, and Giovanni Lo Faro. "1-Hypergroups of Small Sizes." Mathematics 9, no. 2 (January 6, 2021): 108. http://dx.doi.org/10.3390/math9020108.

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In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups. Furthermore, we classify the 1-hypergroups of size 5 and 6 based on the partition induced by the fundamental relation β. Many of these hypergroups can be obtained using the aforesaid hypergroup construction.

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Gu, Ze. "On cyclic hypergroups." Journal of Algebra and Its Applications 18, no. 11 (August 19, 2019): 1950213. http://dx.doi.org/10.1142/s021949881950213x.

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In this paper, we introduce the concept of the index of a generator in a cyclic hypergroup, and show that a single power cyclic hypergroup is generated by an element with index [Formula: see text]. Also, a characterization of the fundamental relation on a cyclic hypergroup is given. Finally, we study corresponding quotient structures induced by regular (strongly regular) relations on cyclic hypergroups. As an application, the corresponding results on single power hypergroups are obtained.

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Kanwal, Shehzadi Salma, Naveed Yaqoob, Nabilah Abughazalah, and Muhammad Gulistan. "On Cyclic LA-Hypergroups." Symmetry 15, no. 9 (August 30, 2023): 1668. http://dx.doi.org/10.3390/sym15091668.

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Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. Symmetric LA-hypergroups are indeed commutative hypergroups. This paper considers a category of cyclic hyperstructures called the cyclic LA-semihypergroup that is a conception of LA-semihypergroups and cyclic hypergroups. We inaugurate the idea of cyclic LA-hypergroups. The interconnected notions of single-power cyclic LA-hypergroups, non-single power cyclic LA-hypergroups and some of their properties are explored.

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Al Tahan, M., and B. Davvaz. "On some properties of single power cyclic hypergroups and regular relations." Journal of Algebra and Its Applications 16, no. 11 (October 4, 2017): 1750214. http://dx.doi.org/10.1142/s0219498817502140.

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After introducing the notion of hypergroups by Marty, a number of generalizations of this fundamental concept has been studied. In this paper, we study a special type of hypergroups; single power cyclic hypergroups and present some of their properties. First, we determine the fundamental group of single power cyclic hypergroups. Next, we construct onto homomorphisms from any single power cyclic hypergroup to another defined hypergroups. Finally, we characterize all commutative single power cyclic hypergroups of order two.

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Leoreanu-Fotea, V., P. Corsini, A. Sonea, and D. Heidari. "Complete parts and subhypergroups in reversible regular hypergroups." Analele Universitatii "Ovidius" Constanta - Seria Matematica 30, no. 1 (February 1, 2022): 219–30. http://dx.doi.org/10.2478/auom-2022-0012.

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Abstract In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts. After an introduction in which basic notions and results of hypergroup theory are presented, particularly complete parts, then we give several properties, characterisations and also examples for the center and centralizer of an element for two classes of hypergroups. The next paragraph is dedicated to hypergroups associated with binary relations. We establish a connection between several types of equivalence relations, introduced by J. Jantosciak, such as the operational relation, the inseparability and the essential indistin-guishability and the conjugacy relation for complete hypergroups. Finally, we analyse Rosenberg hypergroup associated with a conjugacy relation.

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Dissertations / Theses on the topic "Hypergroups"

1

Craighead, Robert Lincoln. "Hypergroups and semiproper functions /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487694389393159.

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Xu, Zengfu. "Harmonic analysis on Chébli-Trimèche hypergroups." Thesis, Xu, Zengfu (1994) Harmonic analysis on Chébli-Trimèche hypergroups. PhD thesis, Murdoch University, 1994. https://researchrepository.murdoch.edu.au/id/eprint/51538/.

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In this thesis we develop the theory on Chebli-Trimeche hypergroups of such topics as maximal functions, the convergence and boundedness of certain convolution operator families in Lp spaces and Hardy spaces as well as Fourier multipliers. As the basis of the theory we first investigate the Schwartz classes, Plancherel measure and hypergroup characters on these hypergroups, and establish basic facts about approximations to the identity and the important results concerning Fourier transforms and the estimates for the Plancherel measure and characters. These lead to estimates for the translation operator as well as the heat and Poisson kernels, all of which play a significant role in our study of various maximal operators. The latter include the Hardy-Littlewood maximal operator, the heat and Poisson maximal operators, a class of radial maximal operators, and the grand maximal operator. The behaviour of these maximal convolution operators on Lp and Hardy spaces is investigated, and some classical results are extended to Chebli-Trimeche hypergroups. We also develop local Hardy space theory, and give some results concerning Fourier multipliers and Riesz potentials.

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Kamyabi-Gol, Rajab Ali. "Topological center of dual branch algebras associated to hypergroups." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/nq21584.pdf.

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Grundmann, Waldemar Verfasser], Michael [Akademischer Betreuer] Voit, and Wilfried [Gutachter] [Hazod. "Limit Theorems on Hypergroups / Waldemar Grundmann. Betreuer: Michael Voit. Gutachter: Wilfried Hazod." Dortmund : Universitätsbibliothek Dortmund, 2013. http://d-nb.info/110358815X/34.

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Grundmann, Waldemar [Verfasser], Michael Akademischer Betreuer] Voit, and Wilfried [Gutachter] [Hazod. "Limit Theorems on Hypergroups / Waldemar Grundmann. Betreuer: Michael Voit. Gutachter: Wilfried Hazod." Dortmund : Universitätsbibliothek Dortmund, 2013. http://d-nb.info/110358815X/34.

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Perreiter, Eva [Verfasser], Rupert [Akademischer Betreuer] Lasser, Michael [Akademischer Betreuer] Voit, and Eberhard [Akademischer Betreuer] Kaniuth. "L1-algebras on commutative hypergroups : structure and properties arising from harmonic analysis / Eva Perreiter. Gutachter: Michael Voit ; Eberhard Kaniuth. Betreuer: Rupert Lasser." München : Universitätsbibliothek der TU München, 2011. http://d-nb.info/101958775X/34.

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Degenfeld-Schonburg, Sina [Verfasser], Rupert [Akademischer Betreuer] Lasser, Harald [Akademischer Betreuer] Upmeier, and Antoine [Akademischer Betreuer] Derighetti. "Multipliers for Hypergroups : Concrete Examples, Application to Time Series / Sina Degenfeld-Schonburg. Gutachter: Harald Upmeier ; Antoine Derighetti ; Rupert Lasser. Betreuer: Rupert Lasser." München : Universitätsbibliothek der TU München, 2012. http://d-nb.info/1031513728/34.

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Kahler, Stefan Alexander [Verfasser], Rupert [Akademischer Betreuer] [Gutachter] Lasser, Eberhard [Gutachter] Kaniuth, and Mourad [Gutachter] Ismail. "Characterizations of Orthogonal Polynomials and Harmonic Analysis on Polynomial Hypergroups / Stefan Alexander Kahler. Betreuer: Rupert Lasser. Gutachter: Eberhard Kaniuth ; Mourad Ismail ; Rupert Lasser." München : Universitätsbibliothek der TU München, 2016. http://d-nb.info/1105646483/34.

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Hofmann, Michael [Verfasser], Rupert [Akademischer Betreuer] Lasser, Anthony To-Ming [Akademischer Betreuer] Lau, and Bertram M. [Akademischer Betreuer] Schreiber. "On Representation and Uniqueness of Invariant Means on Hypergroups / Michael Hofmann. Gutachter: Anthony To-Ming Lau ; Bertram M. Schreiber ; Rupert Lasser. Betreuer: Rupert Lasser." München : Universitätsbibliothek der TU München, 2012. http://d-nb.info/1024161331/34.

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Youmbi, Norbert. "Probability theory on semihypergroups." [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001201.

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Books on the topic "Hypergroups"

1

Wildberger, Norman John. Hypergroups and cyclotomy. Toronto: Dept. of Mathematics, University of Toronto, 1993.

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Ross, K. A., A. I. Singh, J. M. Anderson, V. S. Sunder, G. L. Litvinov, and N. J. Wildberger, eds. Harmonic Analysis and Hypergroups. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5.

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3

A, Ross Kenneth, Schwartz Alan L. 1941-, Walter Martin E, and International Conference on Harmonic Analysis (1995 : University of Delhi), eds. Harmonic analysis and hypergroups. Boston: Birkhäuser, 1998.

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Generalized wavelets and hypergroups. Amsterdam, The Netherlands: Gordon and Breach Science Publishers, 1997.

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Functional equations on hypergroups. Singapore: World Scientific, 2013.

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Connett, William C., Marc-Olivier Gebuhrer, and Alan L. Schwartz, eds. Applications of Hypergroups and Related Measure Algebras. Providence, Rhode Island: American Mathematical Society, 1995. http://dx.doi.org/10.1090/conm/183.

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7

Bloom, Walter R. Harmonic analysis of probability measures on hypergroups. Berlin: W. de Gruyter, 1995.

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8

Violeta, Leoreanu, ed. Applications of hyperstructure theory. Boston, Mass: Kluwer Academic Publishers, 2003.

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9

Floris, Paulus Gerardus Antonius. On quantum groups, hypergroups and q-special functions. S.l: s.n.], 1995.

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10

Completely positive hypergroup actions. Providence, RI: American Mathematical Society, 1996.

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Book chapters on the topic "Hypergroups"

1

Ross, Kenneth A. "Hypergroups and Signed Hypergroups." In Harmonic Analysis and Hypergroups, 77–91. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5_7.

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Trimeche, K. "Wavelets on Hypergroups." In Harmonic Analysis and Hypergroups, 183–213. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5_12.

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3

Zeuner, Hansmartin. "On hyperbolic hypergroups." In Lecture Notes in Mathematics, 216–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0077186.

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Székelyhidi, László. "Functional Equations on Hypergroups." In Functional Equations, Inequalities and Applications, 167–81. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0225-6_12.

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Connett, William C., and Alan L. Schwartz. "Hypergroups and Differential Equations." In Lie Groups and Lie Algebras, 109–15. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5258-7_7.

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Zeuner, Hansmartin. "Duality of Commutative Hypergroups." In Probability Measures on Groups X, 467–88. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-2364-6_35.

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Agrawal, Sanjeev, and Dinesh Singh. "De Branges Modules in H 2 (C k )." In Harmonic Analysis and Hypergroups, 1–11. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5_1.

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Sunder, V. S., and N. J. Wildberger. "Actions of Finite Hypergroups and Examples." In Harmonic Analysis and Hypergroups, 145–63. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5_10.

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Szwarc, Ryszard. "Positivity of Turán Determinants for Orthogonal Polynomials." In Harmonic Analysis and Hypergroups, 165–82. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5_11.

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Walter, Martin E. "Semigroups of Positive Definite Functions and Related Topics." In Harmonic Analysis and Hypergroups, 215–26. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-0-8176-4348-5_13.

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Conference papers on the topic "Hypergroups"

1

Selvachandran, Ganeshsree, and Abdul Razak Salleh. "Soft hypergroups and soft hypergroup homomorphism." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801211.

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Negoescu, Radu-Andrei, Brett Adams, Dinh Phung, Svetha Venkatesh, and Daniel Gatica-Perez. "Flickr hypergroups." In the seventeen ACM international conference. New York, New York, USA: ACM Press, 2009. http://dx.doi.org/10.1145/1631272.1631421.

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Okb El Bab, A. S., and Hossam A. Ghany. "HARMONIC ANALYSIS ON HYPERGROUPS." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525130.

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Yatras, C. N. "Types of polysymmetrical hypergroups." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043947.

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KAWAKAMI, SATOSHI. "EXTENSIONS OF COMMUTATIVE HYPERGROUPS." In Proceedings of the Fourth German–Japanese Symposium. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812832825_0009.

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Młotkowski, Wojciech. "Some class of polynomial hypergroups." In Quantum Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2006. http://dx.doi.org/10.4064/bc73-0-28.

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Massouros, Christos G. "Isomorphism theorems in fortified transposition hypergroups." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825940.

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Massouros, Ch G., and G. G. Massouros. "On subhypergroups of fortified transposition hypergroups." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825939.

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Massouros, Ch G., and G. G. Massouros. "Operators and Hyperoperators Acting on Hypergroups." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990939.

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Popuri, Seetha Mani, Sarala Yella, Jaya Lalitha Gokarakonda, and Srinivasa Kumar Bhavirisetty. "Pseudosymmetric hyperideals in ternary semi hypergroups." In ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0066709.

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