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Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite…
This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled "Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and t…
- Edition
- 2
- ISBN/ISSN
- 978-1-4939-3406-5
- Collation
- XV, 487
- Series Title
- -
- Call Number
- 510 TER h
The Evolution of Applied Harmonic Analysis
A sweeping exploration of essential concepts and applications in modern mathematics and science through the unifying framework of Fourier analysis! This unique, extensively illustrated book, accessible to specialists and non-specialists, describes the evolution of harmonic analysis, integrating theory and applications in a way that requires only some general mathematical sophistication and know…
- Edition
- 1
- ISBN/ISSN
- 978-0817641252
- Collation
- -
- Series Title
- -
- Call Number
- -
The Spectrum of Hyperbolic Surfaces
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a …
- Edition
- -
- ISBN/ISSN
- 978-3-319-27666-3
- Collation
- -
- Series Title
- -
- Call Number
- -
An Introductory Course in Lebesgue Spaces
This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic an…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-30034-4
- Collation
- XII, 461
- Series Title
- CMS Books in Mathematics
- Call Number
- 515.7 CAS i
New Trends in Applied Harmonic Analysis
This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved throug…
- Edition
- 1
- ISBN/ISSN
- 2296-5009
- Collation
- XXVIII, 334
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
Harmonic and Applied Analysis: From Groups to Signals
his contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied ma…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18862-1
- Collation
- XV, 256
- Series Title
- -
- Call Number
- 001.422 HAN
Families of Automorphic Forms and the Trace Formula
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held i…
- Edition
- -
- ISBN/ISSN
- 978-3-319-41424-9
- Collation
- XII, 578
- Series Title
- -
- Call Number
- -
Extensions of Positive Definite Functions Applications and Their Harmonic An…
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some pres…
- Edition
- -
- ISBN/ISSN
- 978-3-319-39780-1
- Collation
- 39 b/w illustrations, 9 illustrations in colour
- Series Title
- -
- Call Number
- -
Excursions in Harmonic Analysis, Volume 4 The February Fourier Talks at the …
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 professional…
- Edition
- -
- ISBN/ISSN
- 978-3-319-37237-2
- Collation
- XVIII, 428
- Series Title
- -
- Call Number
- -
Excursions in Harmonic Analysis, Volume 3 The February Fourier Talks at the …
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 professio…
- Edition
- -
- ISBN/ISSN
- 978-3-319-13230-3
- Collation
- 63 b/w illustrations, 38 illustrations in colour
- Series Title
- -
- Call Number
- -
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