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Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems Author Karl-Heinz Förster
ISBN-10 9783764374532
Release 2006-03-16
Pages 308
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Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems has been writing in one form or another for most of life. You can find so many inspiration from Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems book for free.



Slice Hyperholomorphic Schur Analysis

Slice Hyperholomorphic Schur Analysis Author Daniel Alpay
ISBN-10 9783319425146
Release 2016-12-09
Pages 362
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This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.



Recent Applications of Harmonic Analysis to Function Spaces Differential Equations and Data Science

Recent Applications of Harmonic Analysis to Function Spaces  Differential Equations  and Data Science Author Isaac Pesenson
ISBN-10 9783319555560
Release 2017-09-08
Pages 510
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The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems. Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.



Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis

Basics of Functional Analysis with Bicomplex Scalars  and Bicomplex Schur Analysis Author Daniel Alpay
ISBN-10 9783319051109
Release 2014-03-19
Pages 95
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This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.



Recent Advances in Inverse Scattering Schur Analysis and Stochastic Processes

Recent Advances in Inverse Scattering  Schur Analysis and Stochastic Processes Author Daniel Alpay
ISBN-10 9783319103358
Release 2015-04-30
Pages 394
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The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015076649881
Release 2007
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Banach Algebra Techniques in Operator Theory

Banach Algebra Techniques in Operator Theory Author Ronald G. Douglas
ISBN-10 9781461216568
Release 2012-12-06
Pages 198
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A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.



Mathematische Nachrichten

Mathematische Nachrichten Author
ISBN-10 UCSD:31822022801435
Release
Pages
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Mathematische Nachrichten has been writing in one form or another for most of life. You can find so many inspiration from Mathematische Nachrichten also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematische Nachrichten book for free.



Reviews in operator theory 1980 86

Reviews in operator theory  1980 86 Author American mathematical society
ISBN-10 UOM:39015015701041
Release 1989
Pages 2328
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Reviews in operator theory 1980 86 has been writing in one form or another for most of life. You can find so many inspiration from Reviews in operator theory 1980 86 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Reviews in operator theory 1980 86 book for free.



Operator Theory and Indefinite Inner Product Spaces

Operator Theory and Indefinite Inner Product Spaces Author Matthias Langer
ISBN-10 9783764375164
Release 2006-06-16
Pages 381
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A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.



Exponentially Dichotomous Operators and Applications

Exponentially Dichotomous Operators and Applications Author Cornelis V. M. van der Mee
ISBN-10 9783764387327
Release 2008-09-27
Pages 224
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In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. This is the first book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.



Matrices and indefinite scalar products

Matrices and indefinite scalar products Author Israel Gohberg
ISBN-10 376431527X
Release 1983
Pages 374
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Matrices and indefinite scalar products has been writing in one form or another for most of life. You can find so many inspiration from Matrices and indefinite scalar products also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Matrices and indefinite scalar products book for free.



Covariant Schr dinger Semigroups on Riemannian Manifolds

Covariant Schr  dinger Semigroups on Riemannian Manifolds Author Batu Güneysu
ISBN-10 9783319689036
Release 2017-12-22
Pages 239
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This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities. The results presented here provide the first systematic study of such operators that is sufficiently general to simultaneously treat the natural operators from quantum mechanics, such as magnetic Schrödinger operators with singular electric potentials, and those from geometry, such as squares of Dirac operators that have smooth but endomorphism-valued and possibly unbounded potentials. The book is largely self-contained, making it accessible for graduate and postgraduate students alike. Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral theory, and mathematical physics..



Introduction to Quantum Graphs

Introduction to Quantum Graphs Author Gregory Berkolaiko
ISBN-10 9780821892114
Release 2013
Pages 270
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A ``quantum graph'' is a graph considered as a one-dimensional complex and equipped with a differential operator (``Hamiltonian''). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional (e.g., ``meso-'' or ``nano-scale'') system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. One can mention, for instance, dynamical systems theory, control theory, quantum chaos, Anderson localization, microelectronics, photonic crystals, physical chemistry, nano-sciences, superconductivity theory, etc. Quantum graphs present many non-trivial mathematical challenges, which makes them dear to a mathematician's heart. Work on quantum graphs has brought together tools and intuition coming from graph theory, combinatorics, mathematical physics, PDEs, and spectral theory. This book provides a comprehensive introduction to the topic, collecting the main notions and techniques. It also contains a survey of the current state of the quantum graph research and applications.



Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Spectral Theory and Applications of Linear Operators and Block Operator Matrices Author Aref Jeribi
ISBN-10 9783319175669
Release 2015-07-04
Pages 599
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Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.



Factorization Singular Operators and Related Problems

Factorization  Singular Operators and Related Problems Author Georgiĭ Semenovich Litvinchuk
ISBN-10 1402014074
Release 2003-07-31
Pages 333
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Proceedings of the Conference in Honour of Professor Georgii Litvinchuk



Inverse Eigenvalue Problems

Inverse Eigenvalue Problems Author Moody Chu
ISBN-10 9780198566649
Release 2005-06-16
Pages 387
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Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.