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Geometric Harmonic Analysis II

2023-03-03 Mathematics
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Release : 2023-03-03
Genre : Mathematics
Kind : eBook
Book Rating : 183/5 ( reviews)

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Book Synopsis Geometric Harmonic Analysis II by : Dorina Mitrea

Download or read book Geometric Harmonic Analysis II written by Dorina Mitrea. This book was released on 2023-03-03. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.

Geometric Harmonic Analysis V

2023-08-22 Mathematics
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Release : 2023-08-22
Genre : Mathematics
Kind : eBook
Book Rating : 618/5 ( reviews)

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Book Synopsis Geometric Harmonic Analysis V by : Dorina Mitrea

Download or read book Geometric Harmonic Analysis V written by Dorina Mitrea. This book was released on 2023-08-22. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations.

Harmonic and Geometric Analysis

2015-04-28 Mathematics
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Release : 2015-04-28
Genre : Mathematics
Kind : eBook
Book Rating : 083/5 ( reviews)

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Book Synopsis Harmonic and Geometric Analysis by : Giovanna Citti

Download or read book Harmonic and Geometric Analysis written by Giovanna Citti. This book was released on 2015-04-28. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.

New Trends in Applied Harmonic Analysis, Volume 2

2019-11-26 Mathematics
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Release : 2019-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 536/5 ( reviews)

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Book Synopsis New Trends in Applied Harmonic Analysis, Volume 2 by : Akram Aldroubi

Download or read book New Trends in Applied Harmonic Analysis, Volume 2 written by Akram Aldroubi. This book was released on 2019-11-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Representation Theory and Noncommutative Harmonic Analysis II

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 567/5 ( reviews)

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Book Synopsis Representation Theory and Noncommutative Harmonic Analysis II by : A.A. Kirillov

Download or read book Representation Theory and Noncommutative Harmonic Analysis II written by A.A. Kirillov. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

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