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Author: Sten G. Kaijser
Publisher: Springer
ISBN: 3540470441
Category : Mathematics
Languages : en
Pages : 172
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Book Description
Author: Sten G. Kaijser
Publisher: Springer
ISBN: 3540470441
Category : Mathematics
Languages : en
Pages : 172
Get Book Here
Book Description
Author: Sten G. Kaijser
Publisher:
ISBN: 9783662173916
Category :
Languages : en
Pages : 176
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Book Description
Author: Sten Kaijser
Publisher:
ISBN: 9780387167909
Category : Functor theory
Languages : en
Pages : 306
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Book Description
Author:
Publisher: Elsevier
ISBN: 0080887104
Category : Mathematics
Languages : en
Pages : 735
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Book Description
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications.
Author: Ju.A Brudnyj
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Michael Cwikel
Publisher: American Mathematical Soc.
ISBN: 0821842072
Category : Mathematics
Languages : en
Pages : 370
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Book Description
This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful.
Author: Ewa Ligocka
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
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Book Description
Author: M. Cwikel
Publisher: Springer
ISBN: 354038913X
Category : Mathematics
Languages : en
Pages : 245
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Book Description
Author: American Mathematical Society. Meeting
Publisher: American Mathematical Soc.
ISBN: 0821850326
Category : Mathematics
Languages : en
Pages : 318
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Book Description
Contains the proceedings of the AMS Summer Research Conference on Axiomatic Set Theory, held in Boulder, Colorado, June 19-25, 1983. This work covers the various areas of set theory, including constructibility, forcing, combinatorics and descriptive set theory.
Author: Wan-Xie Zhong
Publisher: Springer Science & Business Media
ISBN: 1402078811
Category : Mathematics
Languages : en
Pages : 467
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Book Description
A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.
