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Excursions in Harmonic Analysis, Volume 2

Author : Travis D Andrews

Publisher : Springer Science & Business Media

Page : 461 pages

File Size : 46,38 MB

Release : 2013-01-04

Category : Mathematics

ISBN : 0817683798

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Book Description

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.



New Trends in Applied Harmonic Analysis, Volume 2

Author : Akram Aldroubi

Publisher : Springer Nature

Page : 335 pages

File Size : 44,7 MB

Release : 2019-11-26

Category : Mathematics

ISBN : 3030323536

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Book Description

This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include: Gabor frames Falconer distance problem Hausdorff dimension Sparse inequalities Fractional Brownian motion Fourier analysis in geometric measure theory This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource.



Excursions in Harmonic Analysis, Volume 5

Author : Radu Balan

Publisher : Birkhäuser

Page : 346 pages

File Size : 40,5 MB

Release : 2017-06-20

Category : Mathematics

ISBN : 3319547119

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Book Description

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include: Theoretical harmonic analysis Image and signal processing Quantization Algorithms and representations The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.



Excursions in Harmonic Analysis, Volume 4

Author : Radu Balan

Publisher : Birkhäuser

Page : 440 pages

File Size : 18,19 MB

Release : 2015-10-20

Category : Mathematics

ISBN : 3319201883

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Book Description

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include: Special Topics in Harmonic Analysis Applications and Algorithms in the Physical Sciences Gabor Theory RADAR and Communications: Design, Theory, and Applications The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.





Excursions in Harmonic Analysis, Volume 6

Author : Matthew Hirn

Publisher : Springer Nature

Page : 444 pages

File Size : 14,14 MB

Release : 2021-09-01

Category : Mathematics

ISBN : 3030696375

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Book Description

John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.



An Advanced Complex Analysis Problem Book

Author : Daniel Alpay

Publisher : Birkhäuser

Page : 523 pages

File Size : 43,11 MB

Release : 2015-11-13

Category : Mathematics

ISBN : 3319160591

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Book Description

This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.



Convergence and Summability of Fourier Transforms and Hardy Spaces

Author : Ferenc Weisz

Publisher : Birkhäuser

Page : 446 pages

File Size : 39,17 MB

Release : 2017-12-27

Category : Mathematics

ISBN : 3319568140

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Book Description

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.



Computational Methods for Three-Dimensional Microscopy Reconstruction

Author : Gabor T. Herman

Publisher : Springer Science & Business Media

Page : 275 pages

File Size : 30,71 MB

Release : 2014-01-29

Category : Mathematics

ISBN : 1461495210

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Book Description

Approaches to the recovery of three-dimensional information on a biological object, which are often formulated or implemented initially in an intuitive way, are concisely described here based on physical models of the object and the image-formation process. Both three-dimensional electron microscopy and X-ray tomography can be captured in the same mathematical framework, leading to closely-related computational approaches, but the methodologies differ in detail and hence pose different challenges. The editors of this volume, Gabor T. Herman and Joachim Frank, are experts in the respective methodologies and present research at the forefront of biological imaging and structural biology. Computational Methods for Three-Dimensional Microscopy Reconstruction will serve as a useful resource for scholars interested in the development of computational methods for structural biology and cell biology, particularly in the area of 3D imaging and modeling.



Introduction to Radon Transforms

Author : Boris Rubin

Publisher : Cambridge University Press

Page : 595 pages

File Size : 18,71 MB

Release : 2015-11-12

Category : Mathematics

ISBN : 0521854598

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Book Description

A comprehensive introduction to basic operators of integral geometry and the relevant harmonic analysis for students and researchers.