Noncommutative Analysis

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Non-commutative Analysis

Author : Palle Jorgensen
Publisher : World Scientific
ISBN 13 : 9813202149
Total Pages : 562 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Non-commutative Analysis by : Palle Jorgensen

Download or read book Non-commutative Analysis written by Palle Jorgensen and published by World Scientific. This book was released on 2017-01-24 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This is a book to be read and worked with. For a beginning graduate student, this can be a valuable experience which at some points in fact leads up to recent research. For such a reader there is also historical information included and many comments aiming at an overview. It is inspiring and original how old material is combined and mixed with new material. There is always something unexpected included in each chapter, which one is thankful to see explained in this context and not only in research papers which are more difficult to access.'Mathematical Reviews ClippingsThe book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret 'non-commutative analysis' broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.)A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras.The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.

Methods of Noncommutative Analysis

Author : Vladimir E. Nazaikinskii
Publisher : Walter de Gruyter
ISBN 13 : 3110813548
Total Pages : 385 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Methods of Noncommutative Analysis by : Vladimir E. Nazaikinskii

Download or read book Methods of Noncommutative Analysis written by Vladimir E. Nazaikinskii and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Noncommutative Microlocal Analysis

Author : Michael Eugene Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 0821823140
Total Pages : 188 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noncommutative Microlocal Analysis by : Michael Eugene Taylor

Download or read book Noncommutative Microlocal Analysis written by Michael Eugene Taylor and published by American Mathematical Soc.. This book was released on 1984 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Engineering Applications of Noncommutative Harmonic Analysis

Author : Gregory S. Chirikjian
Publisher : CRC Press
ISBN 13 : 1420041762
Total Pages : 698 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Engineering Applications of Noncommutative Harmonic Analysis by : Gregory S. Chirikjian

Download or read book Engineering Applications of Noncommutative Harmonic Analysis written by Gregory S. Chirikjian and published by CRC Press. This book was released on 2000-09-28 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 sti

Representation Theory and Noncommutative Harmonic Analysis II

Author : A.A. Kirillov
Publisher : Springer Science & Business Media
ISBN 13 : 3662097567
Total Pages : 274 pages
Book Rating : 4.6/5 (62 download)

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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 and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 274 pages. 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.

Non-Abelian Harmonic Analysis

Author : Roger E. Howe
Publisher : Springer Science & Business Media
ISBN 13 : 1461392004
Total Pages : 271 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Non-Abelian Harmonic Analysis by : Roger E. Howe

Download or read book Non-Abelian Harmonic Analysis written by Roger E. Howe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some applications of this theory. In fact the emphasis is on the applications; the working title of the book while it was being writ ten was "Some Things You Can Do with 8L(2). " Some of the applications are outside representation theory, and some are to representation theory it self. The topics outside representation theory are mostly ones of substantial classical importance (Fourier analysis, Laplace equation, Huyghens' prin ciple, Ergodic theory), while the ones inside representation theory mostly concern themes that have been central to Harish-Chandra's development of harmonic analysis on semisimple groups (his restriction theorem, regularity theorem, character formulas, and asymptotic decay of matrix coefficients and temperedness). We hope this mix of topics appeals to nonspecialists in representation theory by illustrating (without an interminable prolegom ena) how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself. Especially, we hope this book popularizes Harish-Chandra's restriction formula, which, besides being basic to his work, is simply a beautiful example of Fourier analysis on Euclidean space. We also hope representation theorists will enjoy seeing examples of how their subject can be used and will be stimulated by some of the viewpoints offered on representation-theoretic issues.

Noncommutative Harmonic Analysis

Author : Michael Eugene Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 0821815237
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noncommutative Harmonic Analysis by : Michael Eugene Taylor

Download or read book Noncommutative Harmonic Analysis written by Michael Eugene Taylor and published by American Mathematical Soc.. This book was released on 1986 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores 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.

Noncommutative Analysis, Operator Theory and Applications

Author : Daniel Alpay
Publisher : Birkhäuser
ISBN 13 : 3319291165
Total Pages : 285 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Noncommutative Analysis, Operator Theory and Applications by : Daniel Alpay

Download or read book Noncommutative Analysis, Operator Theory and Applications written by Daniel Alpay and published by Birkhäuser. This book was released on 2016-06-30 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Free Random Variables

Author : Dan V. Voiculescu
Publisher : American Mathematical Soc.
ISBN 13 : 0821811401
Total Pages : 80 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Free Random Variables by : Dan V. Voiculescu

Download or read book Free Random Variables written by Dan V. Voiculescu and published by American Mathematical Soc.. This book was released on 1992 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices. The probabilistic approach to free products has led to a recent surge of new results on the von Neumann algebras of free groups. The book is ideally suited as a textbook for an advanced graduate course and could also provide material for a seminar. In addition to researchers and graduate students in mathematics, this book will be of interest to physicists and others who use random matrices.

Methods of Noncommutative Analysis

Author : V. E. Nazaĭkinskiĭ
Publisher : Walter de Gruyter
ISBN 13 : 9783110146325
Total Pages : 388 pages
Book Rating : 4.1/5 (463 download)

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Book Synopsis Methods of Noncommutative Analysis by : V. E. Nazaĭkinskiĭ

Download or read book Methods of Noncommutative Analysis written by V. E. Nazaĭkinskiĭ and published by Walter de Gruyter. This book was released on 1996 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antić, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Noncommutative Geometry

Author : Alain Connes
Publisher : Springer
ISBN 13 : 3540397027
Total Pages : 364 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Noncommutative Geometry by : Alain Connes

Download or read book Noncommutative Geometry written by Alain Connes and published by Springer. This book was released on 2003-12-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Non-Commutative Harmonic Analysis

Author : Jacques Carmona
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (872 download)

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Book Synopsis Non-Commutative Harmonic Analysis by : Jacques Carmona

Download or read book Non-Commutative Harmonic Analysis written by Jacques Carmona and published by . This book was released on 1979 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncommutative Functional Calculus

Author : Prof. Fabrizio Colombo Politecnico di Milano
Publisher : Springer Science & Business Media
ISBN 13 : 3034801106
Total Pages : 228 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Noncommutative Functional Calculus by : Prof. Fabrizio Colombo Politecnico di Milano

Download or read book Noncommutative Functional Calculus written by Prof. Fabrizio Colombo Politecnico di Milano and published by Springer Science & Business Media. This book was released on 2011-03-18 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions. Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.

Noncommutative Algebra

Author : Benson Farb
Publisher : Springer Science & Business Media
ISBN 13 : 1461208890
Total Pages : 229 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Noncommutative Algebra by : Benson Farb

Download or read book Noncommutative Algebra written by Benson Farb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.

Non-commutative Gelfand Theories

Author : Steffen Roch
Publisher : Springer Science & Business Media
ISBN 13 : 0857291831
Total Pages : 388 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Non-commutative Gelfand Theories by : Steffen Roch

Download or read book Non-commutative Gelfand Theories written by Steffen Roch and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.

Noncommutative Probability

Author : I. Cuculescu
Publisher : Springer Science & Business Media
ISBN 13 : 9401583749
Total Pages : 367 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Noncommutative Probability by : I. Cuculescu

Download or read book Noncommutative Probability written by I. Cuculescu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the first decision was not to concentrate on a special topic. For different people, the starting points of such a domain may be different. In what concerns this question, different variants are not discussed. One such variant comes from Quantum Physics. The motivations in this book are mainly mathematical; more precisely, they correspond to the desire of developing a probability theory in a new set-up and obtaining results analogous to the classical ones for the newly defined mathematical objects. Also different mathematical foundations of this domain were proposed. This book concentrates on one variant, which may be described as "von Neumann algebras". This is true also for the last chapter, if one looks at its ultimate aim. In the references there are some papers corresponding to other variants; we mention Gudder, S.P. &al (1978). Segal, I.E. (1965) also discusses "basic ideas".

The Scope and History of Commutative and Noncommutative Harmonic Analysis

Author : George W. Mackey
Publisher : American Mathematical Soc.
ISBN 13 : 0821837907
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Scope and History of Commutative and Noncommutative Harmonic Analysis by : George W. Mackey

Download or read book The Scope and History of Commutative and Noncommutative Harmonic Analysis written by George W. Mackey and published by American Mathematical Soc.. This book was released on 1992 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``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.