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Spectral Theory And Uniform Lattices
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Book Synopsis Spectral Theory and Uniform Lattices by : M. Scott Osborne
Download or read book Spectral Theory and Uniform Lattices written by M. Scott Osborne and published by . This book was released on 1977 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory by : Edgar Raymond Lorch
Download or read book Spectral Theory written by Edgar Raymond Lorch and published by . This book was released on 1962 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Generalization of Spectral Theory in Linear Lattices by : Jin-Cherng Yeh
Download or read book A Generalization of Spectral Theory in Linear Lattices written by Jin-Cherng Yeh and published by . This book was released on 1975 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory of Linear Operators by : Abram Iezekiilovich Plesner
Download or read book Spectral Theory of Linear Operators written by Abram Iezekiilovich Plesner and published by . This book was released on 1969 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tree Lattices written by Hyman Bass and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph extends this approach to the more general investigation of X-lattices, and these "tree lattices" are the main object of study. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of non-uniform tree lattices, including some fundamental and recently proved existence theorems. Tree Lattices should be a helpful resource to researchers in the field, and may also be used for a graduate course on geometric methods in group theory.
Book Synopsis Spectral Theory and Differential Operators by : David Edmunds
Download or read book Spectral Theory and Differential Operators written by David Edmunds and published by Oxford University Press. This book was released on 2018-05-03 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.
Book Synopsis Geometry, Spectral Theory, Groups, and Dynamics by : Robert Brooks
Download or read book Geometry, Spectral Theory, Groups, and Dynamics written by Robert Brooks and published by American Mathematical Soc.. This book was released on 2005 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952 - 2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and numbertheory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szego's theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate studentsand researchers interested in various aspects of geometry and global analysis.
Book Synopsis The Ergodic Theory of Lattice Subgroups (AM-172) by : Alexander Gorodnik
Download or read book The Ergodic Theory of Lattice Subgroups (AM-172) written by Alexander Gorodnik and published by Princeton University Press. This book was released on 2010 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. Here, Alexander Gorodnik and Amos Nevo develop a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. Simple general conditions on the spectral theory of the group and the regularity of the averaging sets are formulated, which suffice to guarantee convergence to the ergodic mean. In particular, this approach gives a complete solution to the problem of establishing mean and pointwise ergodic theorems for the natural averages on semisimple algebraic groups and on their discrete lattice subgroups. Furthermore, an explicit quantitative rate of convergence to the ergodic mean is established in many cases. The topic of this volume lies at the intersection of several mathematical fields of fundamental importance. These include ergodic theory and dynamics of non-amenable groups, harmonic analysis on semisimple algebraic groups and their homogeneous spaces, quantitative non-Euclidean lattice point counting problems and their application to number theory, as well as equidistribution and non-commutative Diophantine approximation. Many examples and applications are provided in the text, demonstrating the usefulness of the results established.
Book Synopsis An Introduction to Spectral Theory by : Andrei Giniatoulline
Download or read book An Introduction to Spectral Theory written by Andrei Giniatoulline and published by R.T. Edwards, Inc.. This book was released on 2005 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief and accessible introduction to the spectral theory of linear second order elliptic differential operators. By introducing vital topics of abstract functional analysis where necessary, and using clear and simple proofs, the book develops an elegant presentation of the theory while integrating applications of basic real world problems involving the Laplacian. Suitable for use as a self-contained introduction for beginners or as a one-semester student text; contains some 25 examples and 60 exercises, most with detailed hints.
Book Synopsis An Introduction to Local Spectral Theory by : K. B. Laursen
Download or read book An Introduction to Local Spectral Theory written by K. B. Laursen and published by Oxford University Press. This book was released on 2000 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.
Book Synopsis Spectral Theory and Asymptotics of Differential Equations by :
Download or read book Spectral Theory and Asymptotics of Differential Equations written by and published by Elsevier. This book was released on 2011-09-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory and Asymptotics of Differential Equations
Book Synopsis Introduction to Spectral Theory by : P. D. Hislop
Download or read book Introduction to Spectral Theory written by P. D. Hislop and published by . This book was released on 1995-11-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Jacobi Operators and Completely Integrable Nonlinear Lattices by : Gerald Teschl
Download or read book Jacobi Operators and Completely Integrable Nonlinear Lattices written by Gerald Teschl and published by American Mathematical Soc.. This book was released on 2000 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume serves as an introduction and reference source on spectral and inverse theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy.
Book Synopsis Fredholm and Local Spectral Theory, with Applications to Multipliers by : Pietro Aiena
Download or read book Fredholm and Local Spectral Theory, with Applications to Multipliers written by Pietro Aiena and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the researches undertaken by many people working in local spectral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.
Book Synopsis Introduction to Spectral Theory in Hilbert Space by : Gilbert Helmberg
Download or read book Introduction to Spectral Theory in Hilbert Space written by Gilbert Helmberg and published by . This book was released on 1969 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Methods of Automorphic Forms by : Henryk Iwaniec
Download or read book Spectral Methods of Automorphic Forms written by Henryk Iwaniec and published by American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain. This book was released on 2021-11-17 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.
Book Synopsis A Primer on Spectral Theory by : Bernard Aupetit
Download or read book A Primer on Spectral Theory written by Bernard Aupetit and published by . This book was released on 1990-12-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: