Eigenfunction Expansions
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Eigenfunction Expansions Operator Algebras And Riemannian Symmetric Spaces
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Author : Robert M Kauffman
language : en
Publisher: CRC Press
Release Date : 1996-09-25
Eigenfunction Expansions Operator Algebras And Riemannian Symmetric Spaces written by Robert M Kauffman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-25 with Mathematics categories.
This Research Note pays particular attention to studying the convergence of the expansion and to the case where D is a family of partial differential operators. All operators in the natural von Neumann algebraassociated with D, and also unbounded operators affiliated with this algebra, are expanded simultaneously in terms of generalized eigenprojections. These are operators which carry a natural space associated with D into its dual. The elements of the range of these eigenprojections are the eigenfunctions, which solve the appropriate eigenvalue equations by duality. The spectral measure is abstractly defined, but its absolute continuity with respect to Hausdorf measure on the joint spectrum is shown to occur when the eigenfunctions are very well-behaved. Uniqueness results are given showing that any two expansions arise from each other by a simple change of variable. A considerable effort has been made to keep the book self-contained for readers with a background in functional analysis including a basic understanding of the theory of von Neumann algebras. More advanced topics in functional analysis, andan introduction to differential geometry and differential operator theory, mostly without proofs, are given in an extensive section on background material.
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.
Eigenfunction Expansions Associated With Second Order Differential Equations
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Author : Edward Charles Titchmarsh
language : en
Publisher:
Release Date : 1962
Eigenfunction Expansions Associated With Second Order Differential Equations written by Edward Charles Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Differential equations categories.
Convergence And Summability Of Eigenfunction Expansions Connected With Elliptic Differential Operators
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Author : Gunnar Bergendal
language : en
Publisher:
Release Date : 1959
Convergence And Summability Of Eigenfunction Expansions Connected With Elliptic Differential Operators written by Gunnar Bergendal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Convergence categories.
Eigenfunction Expansions Associated With Second Order Differential
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Author : Edward Charles Titchmarsh
language : en
Publisher:
Release Date : 1946
Eigenfunction Expansions Associated With Second Order Differential written by Edward Charles Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with categories.
Eigenfunction Expansions Associated With Second Order Differential Equations
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Author : Edward Charles Titchmarsh
language : en
Publisher:
Release Date : 1962
Eigenfunction Expansions Associated With Second Order Differential Equations written by Edward Charles Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Differential equations categories.
Slow Viscous Flows Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions With Cd Rom
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Author : P N Shankar
language : en
Publisher: World Scientific
Release Date : 2007-09-28
Slow Viscous Flows Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions With Cd Rom written by P N Shankar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-28 with Science categories.
This unique book provides a unified and systematic account of internal, external and unsteady slow viscous flows, including the latest advances of the last decade, some of which are due to the author. The book shows how the method of eigenfunctions, in conjunction with least squares, can be used to solve problems of low Reynolds number flows, including three-dimensional internal and unsteady flows, which until recently were considered intractable. Although the methods used are quantitative, much stress is laid on understanding the qualitative nature of these intriguing flows. A secondary purpose of the book is to explain how the complex eigenfunction method can be used to solve problems in science and engineering.Although primarily aimed at graduate students, academics and research engineers in the areas of fluid mechanics and applied mathematics, care has been taken, through the use of numerous diagrams and much discussion, to explain to the non-specialist the qualitative features of these complex flows./a
Absolute Convergence Of Eigenfunction Expansions
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Author : Gerald Walter Hedstrom
language : en
Publisher:
Release Date : 1959
Absolute Convergence Of Eigenfunction Expansions written by Gerald Walter Hedstrom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Convergence categories.
Matched Eigenfunction Expansions For Rheological Flows
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Author : Steven Arman Trogdon
language : en
Publisher:
Release Date : 1980
Matched Eigenfunction Expansions For Rheological Flows written by Steven Arman Trogdon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Multiparameter Eigenvalue Problems And Expansion Theorems
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Author : Hans Volkmer
language : en
Publisher: Springer
Release Date : 2006-11-14
Multiparameter Eigenvalue Problems And Expansion Theorems written by Hans Volkmer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book provides a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. The results are first obtained in abstract Hilbert spaces and then applied to integral operators and differential operators. Special attention is paid to various definiteness conditions which can be imposed on multiparameter eigenvalue problems. The reader is not assumed to be familiar with multiparameter spectral theory but should have some knowledge of functional analysis, in particular of Brower's degree of maps.