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Smooth Molecular Decompositions Of Functions And Singular Integral Operators

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Smooth Molecular Decompositions Of Functions And Singular Integral Operators

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Author : John E. Gilbert
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Smooth Molecular Decompositions Of Functions And Singular Integral Operators written by John E. Gilbert and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Under minimal assumptions on a function $\psi$ the authors obtain wavelet-type frames of the form $\psi_{j, k}(x) = r DEGREES{(1/2)n j} \psi(r DEGREESj x - sk), j \in \integer, k \in \integer DEGREESn, $ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in ter

Smooth Molecular Decompositions Of Functions And Singular Integral Operators

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Author : John E. Gilbert
language : en
Publisher:
Release Date : 2014-09-11

Smooth Molecular Decompositions Of Functions And Singular Integral Operators written by John E. Gilbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Decomposition categories.

Pointwise Variable Anisotropic Function Spaces On Rn

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Author : Shai Dekel
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-04-04

Pointwise Variable Anisotropic Function Spaces On Rn written by Shai Dekel 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 2022-04-04 with Mathematics categories.

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.

Time Frequency And Time Scale Methods

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Author : Jeffrey A. Hogan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-21

Time Frequency And Time Scale Methods written by Jeffrey A. Hogan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-21 with Mathematics categories.

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of developments in time-frequency and time-scale analysis are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work.

The Mathematical Heritage Of Guido Weiss

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Author : Eugenio Hernández
language : en
Publisher: Springer Nature
Release Date : 2025-01-31

The Mathematical Heritage Of Guido Weiss written by Eugenio Hernández and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-31 with Mathematics categories.

This work is a tribute to the life and work of Guido Weiss, a mathematician whose profound contributions shaped the field of harmonic analysis over a span of more than six decades. His groundbreaking research, from pioneering real and complex analysis to his later work on wavelets, continues to influence generations of scholars. More than just a researcher, Guido was a mentor, collaborator, and friend to many, creating a global community of mathematicians. His charisma and generosity fostered lasting professional and personal connections across continents, touching lives far beyond academia. This volume features contributions of collaborators, students, and colleagues of Guido, who had a particularly intense relationship with him. From a heartfelt remembrance of Guido Weiss to advanced discussions on spectral synthesis and wavelet theory, this collection contains a diverse landscape of mathematical results. Readers will delve into topics such as the compactness of bilinear commutators, the intricacies of analytic families in extrapolation theory, and the intersections of time-frequency analysis with modern learning techniques. With contributions to Hardy spaces, Haar multipliers, and crystalline measures, this book serves both as a tribute to past achievements and a beacon for future exploration.

Collectanea Mathematica

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Author :
language : en
Publisher: Edicions Universitat Barcelona
Release Date :

Collectanea Mathematica written by and has been published by Edicions Universitat Barcelona this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Spectral Decomposition Of A Covering Of Gl R The Borel Case

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Author : Heng Sun
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Spectral Decomposition Of A Covering Of Gl R The Borel Case written by Heng Sun and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$

Twentieth Century Harmonic Analysis

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Author : J.S. Byrnes
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-09-30

Twentieth Century Harmonic Analysis written by J.S. Byrnes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-30 with Mathematics categories.

Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be successfully exploited and further developed by succeeding generations. This flourishing of harmonic analysis is today as lively as ever, as the papers presented here demonstrate. In addition to its own ongoing internal development and its basic role in other areas of mathematics, physics and chemistry, financial analysis, medicine, and biological signal processing, harmonic analysis has made fundamental contributions to essentially all twentieth century technology-based human endeavours, including telephone, radio, television, radar, sonar, satellite communications, medical imaging, the Internet, and multimedia. This ubiquitous nature of the subject is amply illustrated. The book not only promotes the infusion of new mathematical tools into applied harmonic analysis, but also to fuel the development of applied mathematics by providing opportunities for young engineers, mathematicians and other scientists to learn more about problem areas in today's technology that might benefit from new mathematical insights.

Approximation And Entropy Numbers Of Volterra Operators With Application To Brownian Motion

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Author : Mikhail Anatolʹevich Lifshit︠s︡
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Approximation And Entropy Numbers Of Volterra Operators With Application To Brownian Motion written by Mikhail Anatolʹevich Lifshit︠s︡ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.

This text considers a specific Volterra integral operator and investigates its degree of compactness in terms of properties of certain kernel functions. In particular, under certain optimal integrability conditions the entropy numbers $e_n(T_{\rho, \psi})$ satisfy $c_1\norm{\rho\psi}_r0$.

The Rational Function Analogue Of A Question Of Schur And Exceptionality Of Permutation Representations

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Author : Robert M. Guralnick
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

The Rational Function Analogue Of A Question Of Schur And Exceptionality Of Permutation Representations written by Robert M. Guralnick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Investigates the analogous question for rational functions. This book describes the Galois theoretic translation, based on Chebotarev's density theorem, leads to a certain property of permutation groups, called exceptionality.

Smooth Molecular Decompositions Of Functions And Singular Integral Operators

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