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An introduction to local spectral theory par Laursen, K. B. Publication : Oxford | New York Clarendon Press | Oxford University Press 2000 . xii, 591 pages 24 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Basic analysis of regularized series and products / par Jorgenson,, Jay. Publication : Berlin ; | New York Springer-Verlag, 1993 . 122 pages ; 24 cm. Date : 1993 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Fractals and spectra : related to Fourier analysis and function spaces / par Triebel, Hans. Publication : Basel ; | Boston : BirkhŁauser, 1997 . viii, 271 p. ; 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians / par Helffer, Bernard. Publication : Berlin ; | New York Springer, 2005 . x, 209 pages : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Intermediate spectral theory and quantum dynamics / par Oliveira, César R. de. Publication : [S.l.] : Birkhäuser 2009 . 410 p. , The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. The book places emphasis on the symbiotic relationship of these two domains by (1) presenting the basic mathematics of nonrelativistic quantum mechanics of one particle, i.e., developing the spectral theory of self-adjoint operators in infinite-dimensional Hilbert spaces from the beginning, and (2) giving an overview of many of the basic functional aspects of quantum theory, from its physical principles to the mathematical models. The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and self-adjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Perturbation of spectra in hilbert space par Friedrichs, K. O. Publication : [S.l.] American Mathematical Society 2008 . 178 p. , The mathematics of the quantum theory of fields has been a continuing puzzle to mathematicians and physicists for many decades. Perturbation theory remains an important element of quantum mechanics. Computationally, it is one of the most successful methods available. However, various features of field theory produce difficulties with the perturbative approach. Here, Friedrichs assumes certain smoothness of the interaction Hamiltonian, which eliminates divergence of the terms in the perturbation expansion, but, as a consequence, forces him to give up the possibility of a local Lorentz-invariant interaction. In this book based on his 1960 lectures in Boulder, Friedrichs looks at some of the unresolved mathematical questions in the quantum field theory of the time, with an emphasis on problems coming from perturbation theory. The lectures begin with an introduction to perturbation theory of discrete and continuous spectra and the theory of scattering. These methods are then applied to perturbations by annihilation and creation operators. Each of the three chapters has a corresponding appendix, where Friedrichs discusses some alternative approaches and additional material relating to the main text. 25 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral decomposition and Eisenstein series A paraphrase of the scriptures par Moeglin, Colette Publication : Cambridge Cambridge University Press 2008 , Translated from the French. | First published: 1995 Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral methods of automorphic forms par Iwaniec, Henryk. Publication : [S.l.] American Mathematical Society 2002 . 220 p. , Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this volume was an underground classic, both as a textbook and as a respected source for results, ideas, and references. The book's reputation sparked a growing interest in the mathematical community to bring it back into print. The AMS has answered that call with the publication of this second edition. In the book, Iwaniec treats the spectral theory of automorphic forms as the study of the space $L^2 (HGamma)$, where $H$ is the upper half-plane and $Gamma$ is a discrete subgroup of volume-preserving transformations of $H$. He combines various techniques from analytic number theory. Among the topics discussed are Eisenstein series, estimates for Fourier coefficients of automorphic forms, the theory of Kloosterman sums, the Selberg trace formula, and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 AMS Cole Prize for his fundamental contributions to analytic number theory. Also available from the AMS by H. Iwaniec is Topics in Classical Automorphic Forms, Volume 17 in the Graduate Studies in Mathematics series. The book is designed for graduate students and researchers working in analytic number theory. 26 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral theory and differential operators par Davies, E. Brian. Publication : [S.l.] Cambridge University Press 2003 . 196 p. , In this book, Davies introduces the reader to the theory of partial differential operators, up to the spectral theorem for bounded linear operators on Banach spaces. He also describes the theory of Fourier transforms and distributions as far as is needed to analyze the spectrum of any constant coefficient partial differential operator. He also presents a completely new proof of the spectral theorem for unbounded self-adjoint operators and demonstrates its application to a variety of second order elliptic differential operators. Finally, the book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. Illustrated with many examples, it is well-suited to graduate-level work. 23 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral theory of canonical differential systems method of operator identities par Sakhnovich,, L. A. Publication : Basel | Boston Birkhäuser Verlag. 1999 . vi, 202 pages 24 cm. Date : 1999 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral theory of infinite-area hyperbolic surfaces fDavid Borthwick. par Borthwick,, David. Publication : Boston, Mass. | [London Birkhäuser | Springer distributor] 2007 . xi, 355 pages 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral/hp element methods for computational fluid dynamics par Karniadakis, George Em Publication : New York Oxford University Press 2005 . 657 p. , Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretization procedures on unstructured meshes, which are also recognized as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilization and filtering techniques, this text aims to introduce a wider audience to the use of spectral/hp element methods with particular emphasis on their application to unstructured meshes. It provides a detailed explanation of the key concepts underlying the methods along with practical examples of their derivation and application, and is aimed at students, academics and practitioners in computational fluid mechanics, applied and numerical mathematics, computational mechanics, aerospace and mechanical engineering and climate/ocean modelling. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Spectral analysis in engineering : concepts and cases / par Hearn, Grant E. Publication : . 1 online resource (xii, 307 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780340631713,

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Functional inequalities, Markov semigroups and spectral theory. par Wang, Feng-Yu. Publication : . 1 online resource. Disponibilité :  http://www.sciencedirect.com/science/book/9780080449425,

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Inverse spectra / par Chigogidze, A. Publication : . 1 online resource (x, 421 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444822253,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=53,

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The spectral analysis of time series / par Koopmans, Lambert H. Publication : . 1 online resource (xvi, 366 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124192515,

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Spectra and the Steenrod algebra : modules over the Steenrod algebra and the stable homotopy category / par Margolis, H. R. Publication : . 1 online resource (xix, 489 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444865168,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=29,

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