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#### Spectral Analysis Of Differential Operators

World Scientific Publishing Company 2005; US$ 68.00 US$ 61.88This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues... more...

#### Periodically Correlated Random Sequences

Wiley 2007; US$ 156.00 US$ 140.40Uniquely combining theory, application, and computing, this book explores the spectral approach to time series analysis The use of periodically correlated (or cyclostationary) processes has become increasingly popular in a range of research areas such as meteorology, climate, communications, economics, and machine diagnostics. Periodically Correlated... more...

#### Spectral Functions in Mathematics and Physics

CRC Press 2001; US$ 57.95The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,... more...

#### Spectral Methods for Time-Dependent Problems

Cambridge University Press 2007; US$ 94.00A 2007 graduate text on spectral methods with applications in fluid dynamics and engineering. more...

#### Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology

World Scientific Publishing Company 2005; US$ 70.00 US$ 63.70This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology. The main... more...

#### Algebraic Multiplicity of Eigenvalues of Linear Operators

Birkhäuser Basel 2007; US$ 129.45This book analyzes the existence and uniqueness of a generalized algebraic m- tiplicity for a general one-parameter family L of bounded linear operators with Fredholm index zero at a value of the parameter ? whereL(? ) is non-invertible. 0 0 Precisely, given K?{R,C}, two Banach spaces U and V over K, an open subset ? ? K,andapoint ? ? ?, our admissible... more...

#### Methods of Spectral Analysis in Mathematical Physics

Birkhäuser Basel 2008; US$ 164.76The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized: Spectral analysis of Schrödinger operators;... more...

#### Szegő's Theorem and Its Descendants

Princeton University Press 2010; Not AvailableThis book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics... more...

#### Dirac Operators and Spectral Geometry

Cambridge University Press 1998; US$ 52.00A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers. more...

#### Operator Methods in Mathematical Physics

Springer Basel 2013; US$ 102.38The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics... more...