Embedding Theorems for Decomposition Spaces with Applications to Wavelet Coorbit Spaces

Embedding Theorems for Decomposition Spaces with Applications to Wavelet Coorbit Spaces PDF Author: Felix Voigtlaender
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Embedding Theorems for Decomposition Spaces with Applications to Wavelet Coorbit Spaces

Embedding Theorems for Decomposition Spaces with Applications to Wavelet Coorbit Spaces PDF Author: Felix Voigtlaender
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Embeddings of Decomposition Spaces

Embeddings of Decomposition Spaces PDF Author: Felix Voigtlaender
Publisher: American Mathematical Society
ISBN: 1470459906
Category : Mathematics
Languages : en
Pages : 268

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Book Description
View the abstract. https://www.ams.org/bookstore/pspdf/memo-287-1426-abstract.pdf

Landscapes of Time-Frequency Analysis

Landscapes of Time-Frequency Analysis PDF Author: Paolo Boggiatto
Publisher: Springer
ISBN: 3030052109
Category : Mathematics
Languages : en
Pages : 358

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Book Description
The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: Abstract harmonic analysis, Numerical harmonic analysis, Sampling theory, Compressed sensing, Mathematical signal processing, Pseudodifferential operators, and Applications of harmonic analysis to quantum mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.

Embedding and Product Theorems for Decomposition Spaces

Embedding and Product Theorems for Decomposition Spaces PDF Author: Daniel Lee Everett
Publisher:
ISBN:
Category : Decomposition (Mathematics)
Languages : en
Pages : 114

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Embedding Theorems for Orlicz-Sobolev Spaces and Applications

Embedding Theorems for Orlicz-Sobolev Spaces and Applications PDF Author: Thomas Donaldson
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 164

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Embedding Theorems for Mixed Norm Spaces and Applications

Embedding Theorems for Mixed Norm Spaces and Applications PDF Author: Robert Algervik
Publisher:
ISBN: 9789170631900
Category :
Languages : en
Pages : 63

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Anisotropic Hardy Spaces and Wavelets

Anisotropic Hardy Spaces and Wavelets PDF Author: Marcin Bownik
Publisher: American Mathematical Soc.
ISBN: 082183326X
Category : Mathematics
Languages : en
Pages : 136

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Book Description
Investigates the anisotropic Hardy spaces associated with very general discrete groups of dilations. This book includes the classical isotropic Hardy space theory of Fefferman and Stein and parabolic Hardy space theory of Calderon and Torchinsky.

Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis PDF Author: Karlheinz Gröchenig
Publisher: Springer Science & Business Media
ISBN: 1461200032
Category : Technology & Engineering
Languages : en
Pages : 367

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Book Description
Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.

Gabor Analysis and Algorithms

Gabor Analysis and Algorithms PDF Author: Hans G. Feichtinger
Publisher: Springer Science & Business Media
ISBN: 1461220165
Category : Mathematics
Languages : en
Pages : 507

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Book Description
In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by time-and frequency shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated time-depending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposal-as far as I know there were no seri ous attempts to implement it for communication purposes in practice, and in fact, at the critical time-frequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] . . . ) but it does not constitute what we now call a frame, leading to numerical insta bilities. The Balian-Low theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher time-frequency density.

Function Spaces and Applications

Function Spaces and Applications PDF Author: Michael Cwikel
Publisher: Springer
ISBN: 3540388419
Category : Mathematics
Languages : en
Pages : 451

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Book Description
This seminar is a loose continuation of two previous conferences held in Lund (1982, 1983), mainly devoted to interpolation spaces, which resulted in the publication of the Lecture Notes in Mathematics Vol. 1070. This explains the bias towards that subject. The idea this time was, however, to bring together mathematicians also from other related areas of analysis. To emphasize the historical roots of the subject, the collection is preceded by a lecture on the life of Marcel Riesz.