Applications of the Theory of Direct Integrals of Hilbert Spaces PDF Download
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Author: Johannes Martinus Burgers
Publisher:
ISBN:
Category : Alloys
Languages : en
Pages : 542
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Book Description
Author: Johannes Martinus Burgers
Publisher:
ISBN:
Category : Alloys
Languages : en
Pages : 542
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Author: Lars Gårding
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 60
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Author: Lars Garding
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Author: O. A. Nielsen
Publisher: CRC Press
ISBN: 1000111067
Category : Mathematics
Languages : en
Pages : 184
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Book Description
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.
Author: Yu.I. Lyubich
Publisher: Springer Science & Business Media
ISBN: 3662028492
Category : Mathematics
Languages : en
Pages : 290
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Book Description
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.
Author: I. M. Gel'fand
Publisher: American Mathematical Soc.
ISBN: 1470426617
Category : Mathematics
Languages : en
Pages : 234
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Book Description
The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel'fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. In Volume 3, applications of generalized functions to the Cauchy problem for systems of partial differential equations with constant coefficients are considered. The book includes the study of uniqueness classes of solutions of the Cauchy problem and the study of classes of functions where the Cauchy problem is well posed. The last chapter of this volume presents results related to spectral decomposition of differential operators related to generalized eigenfunctions.
Author: I. M. Gel'fand
Publisher: Academic Press
ISBN: 1483262324
Category : Mathematics
Languages : en
Pages : 233
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Book Description
Generalized Functions, Volume 3: Theory of Differential Equations focuses on the application of generalized functions to problems of the theory of partial differential equations. This book discusses the problems of determining uniqueness and correctness classes for solutions of the Cauchy problem for systems with constant coefficients and eigenfunction expansions for self-adjoint differential operators. The topics covered include the bounded operators in spaces of type W, Cauchy problem in a topological vector space, and theorem of the Phragmén-Lindelöf type. The correctness classes for the Cauchy problem, systems that are Petrovski?-correct, and generalized eigenfunctions of self-adjoint operators are also reviewed. This text likewise covers the differentiation of functionals of strongly and weakly bounded variation. This volume is beneficial to students and researchers interested in the theory of differential equations.
Author: V. G. Boltyanskii
Publisher: American Mathematical Soc.
ISBN: 9780821895993
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Author: V. M. Adami͡an
Publisher: Springer Science & Business Media
ISBN: 9783764362874
Category : Mathematics
Languages : en
Pages : 438
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Book Description
The present book is the first of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The confer encefocused onthemain ideas, methods, results, andachievementsofM.G. Krein. This first volume is devoted to the theory of differential operators and related topics. It opens with a description of the conference, biographical material and a number of survey papers about the work of M.G. Krein. The main part of the book consists oforiginal research papers presenting the stateofthe art in the area ofdifferential operators. The second volume of these proceedings, entitled Operator Theory and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface............................................................. v Table of Contents VII Picture of M.G. Krein Xl About the Mark Krein International Conference . Mark Grigorevich Krein (A short biography) 5 I. Gohberg The Seminar on Ship Hydrodynamics, Organized by M.G. Krein 9 v.G. Sizov Review Papers: The Works ofM.G. Krein on Eigenfunction Expansion for Selfadjoint Operators and their Applications and Development 21 Yu.M. Berezansky M.G. Krein and the Extension Theory of Symmetric Operators.
