Applications of the Theory of Direct Integrals of Hilbert Spaces

Applications of the Theory of Direct Integrals of Hilbert Spaces PDF Author: Johannes Martinus Burgers
Publisher:
ISBN:
Category : Alloys
Languages : en
Pages : 542

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Applications of the Theory of Direct Integrals of Hilbert Spaces

Applications of the Theory of Direct Integrals of Hilbert Spaces PDF Author: Johannes Martinus Burgers
Publisher:
ISBN:
Category : Alloys
Languages : en
Pages : 542

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Applications of the Theory of Direct Integrals of Hilbert Spaces to Some Integral and Differential Operator

Applications of the Theory of Direct Integrals of Hilbert Spaces to Some Integral and Differential Operator PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 23

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Applications of the Theory of Direct Integrals of Hilbert Spaces to Some Integral and Differential Operators

Applications of the Theory of Direct Integrals of Hilbert Spaces to Some Integral and Differential Operators PDF Author: Lars Gårding
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 60

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Applications of the Theory of Direct Integrals of Hilbert Spaces to Some Integral and Differential Operations

Applications of the Theory of Direct Integrals of Hilbert Spaces to Some Integral and Differential Operations PDF Author: Lars Garding
Publisher:
ISBN:
Category :
Languages : en
Pages : 23

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Functional Analysis I

Functional Analysis I PDF 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.

Direct Integral Theory

Direct Integral Theory PDF 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.

Generalized Functions, Volume 3

Generalized Functions, Volume 3 PDF 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.

Differential Operators and Related Topics

Differential Operators and Related Topics PDF 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.

Transmutation and Operator Differential Equations

Transmutation and Operator Differential Equations PDF Author:
Publisher: Elsevier
ISBN: 0080871488
Category : Mathematics
Languages : en
Pages : 259

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Transmutation and Operator Differential Equations

Current Trends in Operator Theory and its Applications

Current Trends in Operator Theory and its Applications PDF Author: Joseph A. Ball
Publisher: Birkhäuser
ISBN: 3034878818
Category : Mathematics
Languages : en
Pages : 604

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Book Description
Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.