Abstract Harmonic Analysis of Continuous Wavelet Transforms

Abstract Harmonic Analysis of Continuous Wavelet Transforms PDF Author:
Publisher: Springer Science & Business Media
ISBN: 9783540242598
Category :
Languages : en
Pages : 212

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Abstract Harmonic Analysis of Continuous Wavelet Transforms

Abstract Harmonic Analysis of Continuous Wavelet Transforms PDF Author:
Publisher: Springer Science & Business Media
ISBN: 9783540242598
Category :
Languages : en
Pages : 212

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Book Description


The Abstract Harmonic Analysis of Continuous Wavelet Transforms

The Abstract Harmonic Analysis of Continuous Wavelet Transforms PDF Author: Hartmut Führ
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 252

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Abstract Harmonic Analysis of Continuous Wavelet Transforms

Abstract Harmonic Analysis of Continuous Wavelet Transforms PDF Author: Hartmut Führ
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 193

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Wavelet Analysis and Applications

Wavelet Analysis and Applications PDF Author: Tao Qian
Publisher: Springer Science & Business Media
ISBN: 376437778X
Category : Mathematics
Languages : en
Pages : 567

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Book Description
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.

An Introduction to Wavelet Analysis

An Introduction to Wavelet Analysis PDF Author: David F. Walnut
Publisher: Springer Science & Business Media
ISBN: 1461200016
Category : Computers
Languages : en
Pages : 453

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Book Description
This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.

Coherent States and Their Applications

Coherent States and Their Applications PDF Author: Jean-Pierre Antoine
Publisher: Springer
ISBN: 3319767321
Category : Science
Languages : en
Pages : 350

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Book Description
Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.

Harmonic and Applied Analysis

Harmonic and Applied Analysis PDF Author: Filippo De Mari
Publisher: Springer Nature
ISBN: 3030866645
Category : Mathematics
Languages : en
Pages : 316

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Book Description
Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science. This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019. Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers. Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.

Operator Methods in Wavelets, Tilings, and Frames

Operator Methods in Wavelets, Tilings, and Frames PDF Author: Keri A. Kornelson
Publisher: American Mathematical Soc.
ISBN: 1470410400
Category : Mathematics
Languages : en
Pages : 192

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Book Description
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.

The Use of Frames in Sampling Theory

The Use of Frames in Sampling Theory PDF Author: Antonio García García
Publisher: Springer Nature
ISBN: 3031632427
Category :
Languages : en
Pages : 314

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From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory PDF Author: Fritz Gesztesy
Publisher: Springer Nature
ISBN: 3030754251
Category : Mathematics
Languages : en
Pages : 388

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Book Description
The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.