Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operations
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Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operations
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Author : Lars Garding
language : en
Publisher:
Release Date : 1954
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operations written by Lars Garding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with categories.
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces
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Author : Johannes Martinus Burgers
language : en
Publisher:
Release Date : 1951
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces written by Johannes Martinus Burgers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with Alloys categories.
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operator
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Author :
language : en
Publisher:
Release Date : 1954
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operator written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with categories.
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operators
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Author : Lars Gårding
language : en
Publisher:
Release Date : 1954
Applications Of The Theory Of Direct Integrals Of Hilbert Spaces To Some Integral And Differential Operators written by Lars Gårding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Calculus categories.
Direct Integral Theory
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Author : O. A. Nielsen
language : en
Publisher: CRC Press
Release Date : 2020-08-26
Direct Integral Theory written by O. A. Nielsen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.
This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.
Functional Analysis I
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Author : Yu.I. Lyubich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Functional Analysis I written by Yu.I. Lyubich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.
Spectral And Scattering Theory For Ordinary Differential Equations
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Author : Christer Bennewitz
language : en
Publisher: Springer Nature
Release Date : 2020-10-27
Spectral And Scattering Theory For Ordinary Differential Equations written by Christer Bennewitz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-27 with Mathematics categories.
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.
Singular And Degenerate Cauchy Problems
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Author :
language : en
Publisher: Academic Press
Release Date : 1977-01-13
Singular And Degenerate Cauchy Problems written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-13 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Expansions In Eigenfunctions Of Selfadjoint Operators
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Author : I͡Uriĭ Makarovich Berezanskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1968
Expansions In Eigenfunctions Of Selfadjoint Operators written by I͡Uriĭ Makarovich Berezanskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Boundary value problems categories.
Convolution Like Structures Differential Operators And Diffusion Processes
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Author : Rúben Sousa
language : en
Publisher: Springer Nature
Release Date : 2022-07-27
Convolution Like Structures Differential Operators And Diffusion Processes written by Rúben Sousa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-27 with Mathematics categories.
This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. Seeking to generalize this useful connection, and also motivated by its probabilistic applications, the book focuses on the following question: given a diffusion process Xt on a metric space E, can we construct a convolution-like operator * on the space of probability measures on E with respect to which the law of Xt has the *-convolution semigroup property? A detailed analysis highlights the connection between the construction of convolution-like structures and disciplines such as stochastic processes, ordinary and partial differential equations, spectral theory, special functions and integral transforms. The book will be valuable for graduate students and researchers interested in the intersections between harmonic analysis, probability theory and differential equations.