Hans G. Feichtinger's Books

Advances in Gabor Analysis

By: Hans G. Feichtinger

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This text provides an overview of recent developments in Gabor analysis. Scientists in various disciplines related to the subject treat a range of topics from covering theory to numerics, as well as applications of Gabor analysis.

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384

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Springer Science & Business Media

Published Date

ISBN 10

0817642390

ISBN 13

9780817642396

Pseudo-Differential Operators

Quantization and Signals

By: Hans G. Feichtinger,Bernard Helffer,Michael Lamoureux,Nicolas Lerner,Joachim Toft

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Pseudo-Differential Operators

Quantization and Signals

By: Hans G. Feichtinger,Bernard Helffer,Michael Lamoureux,Nicolas Lerner,Joachim Toft

Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.

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235

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Springer

Published Date

ISBN 10

3540682686

ISBN 13

9783540682684

Theory of Function Spaces II

By: Hans Triebel

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Theory of Function Spaces II

By: Hans Triebel

Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH

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388

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Springer Science & Business Media

Published Date

ISBN 10

3764326395

ISBN 13

9783764326395

Metaplectic Groups and Segal Algebras

By: Hans Reiter

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Metaplectic Groups and Segal Algebras

By: Hans Reiter

These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil. The theorem is derived here from some general results about this class which seems to be a rather natural one in the context of Weil's theory. No previous knowledge of the latter is assumed, however, and the theory is developed here, step by step; Further, a complete discussion of the Segal algebra concerned is given, with references to the literature. Weil's metaplectic groups are somewhat easier to investigate when the characteristic is not 2; the case of characteristic 2 presents some special features which are fully discussed. New problems that arise are indicated.

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Page Count

141

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Springer

Published Date

ISBN 10

3540462104

ISBN 13

9783540462101

Book's by Hans G. Feichtinger

Advances in Gabor Analysis

Advances in Gabor Analysis

Pseudo-Differential Operators

Pseudo-Differential Operators

Theory of Function Spaces II

Theory of Function Spaces II

Metaplectic Groups and Segal Algebras

Metaplectic Groups and Segal Algebras

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