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Book
Abstract Harmonic Analysis of Continuous Wavelet Transforms
Authors: ---
ISBN: 9783540315520 Year: 2005 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a - reasonably self-contained - exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.


Book
Mean Oscillations and Equimeasurable Rearrangements of Functions
Authors: ---
ISBN: 9783540747093 Year: 2007 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.


Book
Lp-Theory of Cylindrical Boundary Value Problems : An Operator-Valued Fourier Multiplier and Functional Calculus Approach
Authors: ---
ISBN: 9783834825056 Year: 2012 Publisher: Wiesbaden Vieweg+Teubner Verlag

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Tobias Nau addresses initial boundary value problems in cylindrical space domains with the aid of modern techniques from functional analysis and operator theory. In particular, the author uses concepts from Fourier analysis of functions with values in Banach spaces and the operator-valued functional calculus of sectorial operators. He applies abstract results to concrete problems in cylindrical space domains such as the heat equation subject to numerous boundary conditions and equations arising from fluid dynamics.


Multi
Abstract Harmonic Analysis of Continuous Wavelet Transforms
Authors: ---
ISBN: 9783540315520 Year: 2005 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a - reasonably self-contained - exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.


Multi
Mean Oscillations and Equimeasurable Rearrangements of Functions
Authors: ---
ISBN: 9783540747093 Year: 2007 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.


Digital
Lp-Theory of Cylindrical Boundary Value Problems : An Operator-Valued Fourier Multiplier and Functional Calculus Approach
Author:
ISBN: 9783834825056 Year: 2012 Publisher: Wiesbaden Vieweg+Teubner Verlag

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Book
The Fourier transform and its applications
Author:
Year: 1965 Publisher: New York McGraw-Hill

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Book
Wiskunde 2 : cursus 1ste kandidatuur.
Author:
Year: 1992 Publisher: Lier Steylaerts

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Book
Digital signal processing using Matlab.
Authors: --- --- ---
ISBN: 9781111427382 Year: 2012 Publisher: Stamford Cengage Learning

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Abstract

Fourier series.
Author:
ISBN: 9780582239340 0582239346 Year: 1995 Publisher: Harlow Longman

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