Noncommutative Harmonic Analysis with Applications to Probability II
Author: Marek Bożejko
Publisher:
Published: 2010
Total Pages: 327
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Marek Bożejko
Publisher:
Published: 2010
Total Pages: 327
ISBN-13:
DOWNLOAD EBOOKAuthor: Marek Bożejko
Publisher:
Published: 2007
Total Pages: 334
ISBN-13:
DOWNLOAD EBOOKAuthor: Marek Bożejko
Publisher:
Published: 2012
Total Pages: 317
ISBN-13: 9788386806157
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 2007
Total Pages: 327
ISBN-13:
DOWNLOAD EBOOKAuthor: Gregory S. Chirikjian
Publisher: CRC Press
Published: 2021-02-25
Total Pages: 555
ISBN-13: 1000697339
DOWNLOAD EBOOKFirst published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
Published: 1986
Total Pages: 346
ISBN-13: 0821815237
DOWNLOAD EBOOKExplores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.
Author: Azita Mayeli
Publisher: American Mathematical Soc.
Published: 2013-11-08
Total Pages: 218
ISBN-13: 0821894935
DOWNLOAD EBOOKThis volume contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, held September 22-23, 2012, at the Rochester Institute of Technology, Rochester, NY, USA. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications. The commutative part includes shift invariant spaces, abelian group action on Euclidean space and frame theory; the noncommutative part includes representation theory, continuous and discrete wavelets related to four dimensional Euclidean space, frames on symmetric spaces, $C DEGREES*$-algebras, projective multiresolutions, and free probability algebras. The scope of the book goes beyond traditional harmonic analysis, dealing with Fourier tools, transforms, Fourier bases, and associated function spaces. A number of papers take the step toward wavelet analysis, and even more general tools for analysis/synthesis problems, including papers on frames (over-complete bases) and their practical applications to engineering, cosmology and astrophysics.Other applications in this book include explicit families of wavelets and frames, as they are used in signal processing, multiplexing, and the study of Cosmic Microwave Background (CMB) radiation. For the purpose of organisation, the book is divided into three parts: noncommutative, commutative, and applications. The first group of papers are devoted to problems in noncommutative harmonic analysis, the second to topics in commutative harmonic analysis, and the third to such applications as wavelet and frame theory and to some real-world applications.
Author: George W. Mackey
Publisher: American Mathematical Soc.
Published: 2005-04-08
Total Pages: 386
ISBN-13: 9780821890448
DOWNLOAD EBOOK''When I was invited to speak at the conference on the history of analysis given at Rice University [in 1977], I decided that it might be interesting to review the history of mathematics and physics in the last three hundred years or so with heavy emphasis on those parts in which harmonic analysis had played a decisive or at least a major role. I was pleased and somewhat astonished to find how much of both subjects could be included under this rubric ... The picture that gradually emerged as the various details fell into place was one that I found very beautiful, and the process of seeing it do so left me in an almost constant state of euphoria. I would like to believe that others can be led to see this picture by reading my paper, and to facilitate this I have included a large number of short expositions of topics which are not widely understood by non-specialists.'' --from the Preface This volume, containing the paper mentioned above as well as five other reprinted papers by Mackey, presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. A seventh paper, written exclusively for this volume, attempts to unify certain themes that emerged after major discoveries in 1967 and 1968 in the areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations--discoveries that may at first glance appear to be independent, but which are in fact deeply interrelated. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
Author: Patrick Delorme
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 518
ISBN-13: 081768204X
DOWNLOAD EBOOKDedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.
Author: A.A. Kirillov
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 274
ISBN-13: 3662097567
DOWNLOAD EBOOKTwo 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.