Relevant bibliographies by topics / Spectral theory (Mathematics)

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  1. Journal articles
  2. Dissertations / Theses
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  5. Conference papers

Academic literature on the topic 'Spectral theory (Mathematics)'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 August 2024

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Journal articles on the topic "Spectral theory (Mathematics)"

1

Laursen, K. B. "Essential spectra through local spectral theory." Proceedings of the American Mathematical Society 125, no. 5 (1997): 1425–34. http://dx.doi.org/10.1090/s0002-9939-97-03852-5.

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Garkusha, Grigory. "Correspondences and stable homotopy theory." Transactions of the London Mathematical Society 10, no. 1 (September 28, 2023): 124–55. http://dx.doi.org/10.1112/tlm3.12056.

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AbstractA general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra is recovered from modules over a commutative symmetric ring spectrum defined in terms of framed correspondences over an algebraically closed field. Another application recovers stable motivic homotopy theory from spectral modules over associated spectral categories.
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Wong, M. W. "Weak spectral theory." Proceedings of the American Mathematical Society 95, no. 3 (March 1, 1985): 429. http://dx.doi.org/10.1090/s0002-9939-1985-0806082-9.

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Laursen, Kjeld B., and Michael M. Neumann. "Local spectral theory and spectral inclusions." Glasgow Mathematical Journal 36, no. 3 (September 1994): 331–43. http://dx.doi.org/10.1017/s0017089500030937.

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Suppose that T and S are continuous linear operators on complex Banach spaces X and Y, respectively, and that A is a non-zero continuous linear mapping from X to Y. If A intertwines T and S in the sense that SA = AT, then a classical result due to Rosenblum implies that the spectra σ(T) and σ(S) must overlap, see [12]. Actually, Davis and Rosenthal [5]have shown that the surjectivity spectrum σsu(T) will meet the approximate point spectrum σap(S) in this case (terms to be denned below). Further information about the relations between the two spectra and their finer structure becomes available when the intertwiner A is injective or has dense range, see [9], [12], [13].
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Vishik, M. M. "Nonarchimedean spectral theory." Journal of Soviet Mathematics 30, no. 6 (September 1985): 2513–55. http://dx.doi.org/10.1007/bf02249122.

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Putinar, Mihai. "Spectral theory and sheaf theory. II." Mathematische Zeitschrift 192, no. 3 (September 1986): 473–90. http://dx.doi.org/10.1007/bf01164022.

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Aiena, Pietro, and Maria Teresa Biondi. "Some spectral mapping theorems through local spectral theory." Rendiconti del Circolo Matematico di Palermo 53, no. 2 (June 2004): 165–84. http://dx.doi.org/10.1007/bf02872869.

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Hafner, James Lee. "Application of spectral theory to number theory." Rocky Mountain Journal of Mathematics 15, no. 2 (June 1985): 389–98. http://dx.doi.org/10.1216/rmj-1985-15-2-389.

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Carpintero, C., A. Gutierrez, E. Rosas, and J. Sanabria. "A note on preservation of generalized Fredholm spectra in Berkani’s sense." Filomat 32, no. 18 (2018): 6431–40. http://dx.doi.org/10.2298/fil1818431c.

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In this paper, we study the relationships between the spectra derived from B-Fredholm theory corresponding to two given bounded linear operators. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from B-Fredholm theory corresponding to two given operators are respectively the same. Among other results, we prove that B-Fredholm type spectral properties for an operator and its restriction are equivalent, as well as obtain conditions for which B-Fredholm type spectral properties corresponding to two given operators are the same. As application of our results, we obtain conditions for which the above mentioned spectra and the spectra derived from the classical Fredholm theory are the same.
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Sachs, Robert L. "Book Review: Inverse spectral theory." Bulletin of the American Mathematical Society 19, no. 1 (July 1, 1988): 362–67. http://dx.doi.org/10.1090/s0273-0979-1988-15676-5.

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Dissertations / Theses on the topic "Spectral theory (Mathematics)"

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Zinchenko, Maksym. "Topics in spectral and inverse spectral theory." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4460.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 2, 2007) Vita. Includes bibliographical references.
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Ghaemi, Mohammad B. "Spectral theory of linear operators." Thesis, Connect to e-thesis, 2000. http://theses.gla.ac.uk/998/.

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Thesis (Ph.D.) - University of Glasgow, 2000.
Ph.D. thesis submitted to the Department of Mathematics, University of Glasgow, 2000. Includes bibliographical references. Print version also available.
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Muzundu, Kelvin. "Spectral theory in commutatively ordered banach algebras." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71619.

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Nath, Jiban Kumar. "Spectral theory of non-selfadjoint operators." Thesis, King's College London (University of London), 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.271218.

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Slegers, Wouter. "Spectral Theory for Perron-Frobenius operators." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-396647.

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Strömberg, Roland. "Spectral Theory for Bounded Self-adjoint Operators." Thesis, Uppsala University, Department of Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-121364.

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Khan, Saadia. "Spectral theory and subordinacy of infinite matrices." Thesis, University of Hull, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314651.

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Tembo, Isaac Daniel. "Aspects of spectral theory for algebras of measurable operators." Doctoral thesis, University of Cape Town, 2008. http://hdl.handle.net/11427/4934.

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Includes bibliographical references (p. 124-129).
The spectral theory for bounded normal operators on a Hilbert space and the various functional calculi for such operators is closely related to the representation theory of commutative C*- and von Neumann algebras as algebras of bounded continuous or measurable functions. For unbounded operators the corresponding theory leads to algebras of unbounded densely defined operators. The thesis looks at aspects of spectral theory in the non-commutative generalisations of these algebras. Given a von Neumann algebra M, there are various notions of measurability for operators affiliated with M, and the measurable operators of a particular kind form an involutive algebra under the strong sum and product. Algebras of this kind can usually be equipped with a topology modelled on the topology of convergence in measure under which they become topological algebras. The emphasis in this thesis is on a semifinite von Neumann algebra M equipped with a semi-finite faithful normal trace τ and the corresponding algebra M~ of τ-measurable operators.
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Linder, Kevin A. (Kevin Andrew). "Spectral multiplicity theory in nonseparable Hilbert spaces : a survey." Thesis, McGill University, 1991. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60478.

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Spectral multiplicity theory solves the problem of unitary equivalence of normal operate on a Hilbert space ${ cal H}$ by associating with each normal operator N a multiplicity function, such that two operators are unitarily equivalent if and only if their multiplicity functions are equal. This problem was first solved in the classical case in which ${ cal H}$ is separable by Hellinger in 1907, and in the general case in which ${ cal H}$ is nonseparable by Wecken in 1939. This thesis develops the later versions of multiplicity theory in the nonseparable case given by Halmos and Brown, and gives the simplification of Brown's version to the classical theory. Then the versions of Halmos and Brown are shown directly to be equivalent. Also, the multiplicity function of Brown is expressed in terms of the multiplicity function of Halmos.
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Markett, Simon A. "The Grayson spectral sequence for hermitian K-theory." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/74068/.

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Let R be a regular ring such that 2 is invertible. We construct a spectral sequence converging to the hermitian K-theory, alias the Grothendieck-Witt theory, of R. In particular, we construct a tower for the hermitian K-groups in even shifts, whose terms are given by the hermitian K-theory of automorphisms. The spectral sequence arises as the homotopy spectral sequence of this tower and is analogous to Grayson’s version of the motivic spectral sequence [Gra95]. Further, we construct similar towers for the hermitian K-theory in odd shifts if R is a field of characteristic different from 2. We show by a counter example that the arising spectral sequence does not behave as desired. We proceed by proposing an alternative version for the tower and verify its correctness in weight 1. Finally we give a geometric representation of the (hermitian) K-theory of automorphisms in terms of the general linear group, the orthogonal group, or in terms of e-symmetric matrices, respectively. The K-theory of automorphisms can be identified with motivic cohomology if R is local and of finite type over a field. Therefore the hermitian K-theory of automorphisms as presented in this thesis is a candidate for the analogue of motivic cohomology in the hermitian world.
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Books on the topic "Spectral theory (Mathematics)"

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Eugene, Trubowitz, ed. Inverse spectral theory. Boston: Academic Press, 1987.

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service), SpringerLink (Online, ed. Spectral Analysis. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Pöschel, Jürgen. Inverse spectral theory. Boston: Academic Press, 1986.

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4

Lifschitz, Alexander E. Magnetohydrodynamics and spectral theory. Dordrecht: Kluwer Academic Publishers, 1989.

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Edmunds, D. E. Spectral theory and differential operators. Oxford [England]: Clarendon Press, 1990.

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Zilʹbergleĭt, A. S. Spectral theory of guided waves. Bristol: Institute of Physics Pub., 1996.

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Edmunds, D. E. Spectral theory and differential operators. Oxford [Oxfordshire]: Clarendon Press, 1987.

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Boggiatto, Paolo. Global hypoellipticity and spectral theory. Berlin: Akademie Verlag, 1996.

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Nadkarni, M. G. Spectral theory of dynamical systems. New Delhi: Hindustan Book Agency, 2011.

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Nădăban, Sorin. Spectral theory on quotient spaces. Timișoara: Universitatea din Timișoara, 2001.

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Book chapters on the topic "Spectral theory (Mathematics)"

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Harte, Robin. "Spectral Theory." In SpringerBriefs in Mathematics, 55–76. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05648-7_4.

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Schechter, Martin. "Spectral theory." In Graduate Studies in Mathematics, 129–53. Providence, Rhode Island: American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/036/06.

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Greiner, Günther, and Rainer Nagel. "Spectral theory." In Lecture Notes in Mathematics, 60–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0074925.

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Shokranian, Salahoddin. "The spectral theory." In Lecture Notes in Mathematics, 69–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0092312.

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Borthwick, David. "Spectral and Scattering Theory." In Progress in Mathematics, 121–42. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33877-4_7.

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Borthwick, David. "Spectral Theory on Manifolds." In Graduate Texts in Mathematics, 245–301. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38002-1_9.

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Müller, Werner. "Spectral Theory and Geometry." In First European Congress of Mathematics, 153–85. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-9110-3_5.

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Hoppen, Carlos, David P. Jacobs, and Vilmar Trevisan. "Domination and Spectral Graph Theory." In Developments in Mathematics, 245–72. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58892-2_9.

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Mokhtar-Kharroubi, Mustapha. "Spectral Theory for Neutron Transport." In Lecture Notes in Mathematics, 319–86. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11322-7_7.

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Birman, M. S., and M. Z. Solomjak. "Some Applications of Spectral Theory." In Mathematics and Its Applications, 183–205. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-4586-9_8.

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Conference papers on the topic "Spectral theory (Mathematics)"

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Oprea, Ramona Ioana, Pater Flavius, Adina Juratoni, and Olivia Bundau. "An introduction to spectral theory in fuzzy normed linear spaces." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026609.

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Mukhtarov, Oktay Sh, Kadriye Aydemir, and Hayati Olğar. "Spectral theory of one perturbed boundary value problem with interior singularities." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4893848.

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Kapustin, Nikolay. "Spectral method in the theory of parabolic-hyperbolic equations." In PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’17). Author(s), 2017. http://dx.doi.org/10.1063/1.5013970.

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Kapustin, Nikolay. "Spectral method in the theory of mixed type equations." In PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE ON APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’18). Author(s), 2018. http://dx.doi.org/10.1063/1.5082082.

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Hamoudi, Adel K., and Hayder A. Abd Alabas. "Spectral fluctuations of nuclear energy in the isobar A = 68 nuclei using the context of random matrix theory." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0027537.

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Bairwa, Suneel Kumar, Satyabhan Singh, and Anupam Priyadarshi. "Predicting qualitative behavior of a tri-trophic food chain model having Allee effect on prey growth using spectral theory." In 2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCES 2022 (ICAMCS-2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0199450.

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Goedbloed, Johan Peter. "Magnetohydrodynamic Spectral Theory of Laboratory and Astrophysical Plasmas." In Fifth International Conference on Mathematical Methods in Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.031.0017.

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Kravchenko, Vladislav V., and Sergii M. Torba. "Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators." In 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET). IEEE, 2012. http://dx.doi.org/10.1109/mmet.2012.6331232.

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Kehrein, Achim, and Oliver Lischtschenko. "Line Spectra Analysis: A Cumulative Approach." In OCM 2021 - 5th International Conference on Optical Characterization of Materials. KIT Scientific Publishing, 2021. http://dx.doi.org/10.58895/ksp/1000128686-13.

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An optical spectrometer uses detector pixels that measure the integrated intensity over a certain interval of wavelengths. These integrated pixel values are divided by the interval width and then interpreted as estimates of function values of the wanted spectral irradiance. Hence each pixel measurement constitutes an averaging process. But, averaging biases at maxima: pixel data feature lower maxima. This paper proposes the conceptual use of a cumulated spectrum to estimate spectral data. The integrated quantities are placed in their natural habitat. The motivation originates from the fact that pixel data as integrated quantities are exact values of the cumulated spectrum. Averaging becomes obsolete. There is no information loss. We start with a single spectral line. This “true” spectrum is blurred mimicking the instrument function of the spectrometer optics. For simplicity we consider the instrument function to have Gaussian shape. We integrate the blurred spectrum over subintervals to simulate the pixel measurements. We introduce a cumulated spectrum approach. We compare the cumulated approach with the approach that interpolates the averaged function value estimates of the non-cumulated spectrum. The cumulated approach requires only basic mathematical concepts and allows fast computations.
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Velychko, L., and G. Kryvchikova. "Elements of the spectral theory of double-periodic gratings." In 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET). IEEE, 2012. http://dx.doi.org/10.1109/mmet.2012.6331188.

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