Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations
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Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations
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Author : Damir Z. Arov
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-13
Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations written by Damir Z. Arov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-13 with Mathematics categories.
An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.
Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations
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Author : Damir Z. Arov
language : en
Publisher:
Release Date : 2014-05-14
Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations written by Damir Z. Arov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.
Multivariate Prediction De Branges Spaces And Related Extension And Inverse Problems
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Author : Damir Z. Arov
language : en
Publisher: Birkhäuser
Release Date : 2018-05-30
Multivariate Prediction De Branges Spaces And Related Extension And Inverse Problems written by Damir Z. Arov and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with Mathematics categories.
This monograph deals primarily with the prediction of vector valued stochastic processes that are either weakly stationary, or have weakly stationary increments, from finite segments of their past. The main focus is on the analytic counterpart of these problems, which amounts to computing projections onto subspaces of a Hilbert space of p x 1 vector valued functions with an inner product that is defined in terms of the p x p matrix valued spectral density of the process. The strategy is to identify these subspaces as vector valued de Branges spaces and then to express projections in terms of the reproducing kernels of these spaces and/or in terms of a generalized Fourier transform that is obtained from the solution of an associated inverse spectral problem. Subsequently, the projection of the past onto the future and the future onto the past is interpreted in terms of the range of appropriately defined Hankel operators and their adjoints, and, in the last chapter, assorted computations are carried out for rational spectral densities. The underlying mathematics needed to tackle this class of problems is developed in careful detail, but, to ease the reading, an attempt is made to avoid excessive generality. En route a number of results that, to the best of our knowledge, were only known for p = 1 are generalized to the case p > 1.
Indefinite Inner Product Spaces Schur Analysis And Differential Equations
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2018-01-30
Indefinite Inner Product Spaces Schur Analysis And Differential Equations written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Mathematics categories.
This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.
Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations
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Author : Damir Z. Arov
language : en
Publisher:
Release Date : 2012
Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations written by Damir Z. Arov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Integral equations categories.
"This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory"--
Probability Geometry And Integrable Systems
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Author : Mark Pinsky
language : en
Publisher: Cambridge University Press
Release Date : 2008-03-17
Probability Geometry And Integrable Systems written by Mark Pinsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-17 with Mathematics categories.
Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Solving Polynomial Equation Systems
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Author :
language : en
Publisher: Cambridge University Press
Release Date :
Solving Polynomial Equation Systems written by and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Solving Polynomial Equation Systems
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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2003
Solving Polynomial Equation Systems written by Teo Mora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond
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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-01
Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond written by Teo Mora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with Mathematics categories.
In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Basic Theory
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Author : Anatoly Kochubei
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-02-19
Basic Theory written by Anatoly Kochubei and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Mathematics categories.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.