Non commutative Analysis

Non commutative Analysis
Author: Jorgensen Palle,Tian Feng
Publsiher: World Scientific
Total Pages: 564
Release: 2017-01-24
ISBN: 9813202149
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non commutative Analysis Book Excerpt:

The 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.

Quantum and Non Commutative Analysis

Quantum and Non Commutative Analysis
Author: Huzihiro Araki,Keiichi R. Ito,Akitaka Kishimoto,Izumi Ojima
Publsiher: Springer Science & Business Media
Total Pages: 464
Release: 2013-04-17
ISBN: 9401728232
Category: Science
Language: EN, FR, DE, ES & NL

Quantum and Non Commutative Analysis Book Excerpt:

In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held.

Operator Theory in Harmonic and Non commutative Analysis

Operator Theory in Harmonic and Non commutative Analysis
Author: Joseph A. Ball,Michael A. Dritschel,A.F.M. ter Elst,Pierre Portal,Denis Potapov
Publsiher: Springer
Total Pages: 256
Release: 2014-06-21
ISBN: 3319062662
Category: Mathematics
Language: EN, FR, DE, ES & NL

Operator Theory in Harmonic and Non commutative Analysis Book Excerpt:

This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Non Commutative Harmonic Analysis

Non Commutative Harmonic Analysis
Author: J. Carmona,M. Vergne
Publsiher: Springer
Total Pages: 246
Release: 2006-11-15
ISBN: 3540373659
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non Commutative Harmonic Analysis Book Excerpt:

Non Commutative Harmonic Analysis and Lie Groups

Non Commutative Harmonic Analysis and Lie Groups
Author: J. Carmona,M. Vergne
Publsiher: Springer
Total Pages: 190
Release: 2006-11-15
ISBN: 3540387005
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non Commutative Harmonic Analysis and Lie Groups Book Excerpt:

Non Commutative Harmonic Analysis

Non Commutative Harmonic Analysis
Author: J. Carmona,J. Dixmier,M. Vergne
Publsiher: Springer
Total Pages: 238
Release: 2006-11-14
ISBN: 3540375244
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non Commutative Harmonic Analysis Book Excerpt:

Non Commutative Harmonic Analysis and Lie Groups

Non Commutative Harmonic Analysis and Lie Groups
Author: Jaques Carmona,Patrick Delorme,Michele Vergne
Publsiher: Springer
Total Pages: 310
Release: 2006-11-15
ISBN: 3540477756
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non Commutative Harmonic Analysis and Lie Groups Book Excerpt:

All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.

Non Commutative Harmonic Analysis

Non Commutative Harmonic Analysis
Author: Colloque d'Analyse Harmonique Non Commutative
Publsiher: Springer
Total Pages: 231
Release: 1975
ISBN: 1928374650XXX
Category: Electronic books
Language: EN, FR, DE, ES & NL

Non Commutative Harmonic Analysis Book Excerpt:

Commutative and Noncommutative Harmonic Analysis and Applications

Commutative and Noncommutative Harmonic Analysis and Applications
Author: Azita Mayeli
Publsiher: American Mathematical Soc.
Total Pages: 195
Release: 2013-11-08
ISBN: 0821894935
Category: Mathematics
Language: EN, FR, DE, ES & NL

Commutative and Noncommutative Harmonic Analysis and Applications Book Excerpt:

This 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.

Design of Survivable Networks

Design of Survivable Networks
Author: Mechthild Stoer
Publsiher: Springer
Total Pages: 204
Release: 1992-12-14
ISBN: 9783540562719
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Design of Survivable Networks Book Excerpt:

The problem of designing a cost-efficient network that survives the failure of one or more nodes or edges of the network is critical to modern telecommunications engineering. The method developed in this book is designed to solve such problems to optimality. In particular, a cutting plane approach is described, based on polyhedral combinatorics, that is ableto solve real-world problems of this type in short computation time. These results are of interest for practitioners in the area of communication network design. The book is addressed especially to the combinatorial optimization community, but also to those who want to learn polyhedral methods. In addition, interesting new research problemsare formulated.

Non commutative Analysis

Non commutative Analysis
Author: Palle E. T. Jørgensen,Feng Tian (Mathematics professor)
Publsiher: Unknown
Total Pages: 533
Release: 2017
ISBN: 9789813202139
Category: Functional analysis
Language: EN, FR, DE, ES & NL

Non commutative Analysis Book Excerpt:

The 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.

Non Commutative Harmonic Analysis and Lie Groups

Non Commutative Harmonic Analysis and Lie Groups
Author: J. Carmona,M. Vergne
Publsiher: Lecture Notes in Mathematics
Total Pages: 187
Release: 1983-10
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non Commutative Harmonic Analysis and Lie Groups Book Excerpt:

Annotation All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.

Non commutativity Infinite dimensionality and Probability at the Crossroads

Non commutativity  Infinite dimensionality and Probability at the Crossroads
Author: Nobuaki Obata,Taku Matsui,Akihito Hora
Publsiher: World Scientific
Total Pages: 437
Release: 2002
ISBN: 9812382976
Category: Mathematics
Language: EN, FR, DE, ES & NL

Non commutativity Infinite dimensionality and Probability at the Crossroads Book Excerpt:

Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. This volume includes four expository articles on recent developments in quantum field theory, quantum stochastic differential equations, free probability and quantum white noise calculus, which are targeted also for graduate study. The fourteen research papers deal with most of the current topics, and their interconnections reflect a vivid development in interacting Fock space, infinite-dimensional groups, stochastic independence, non-commutative central limit theorems, stochastic geometry, and so on.

Non Commutativity Infinite Dimensionality and Probability at the Crossroads

Non Commutativity  Infinite Dimensionality and Probability at the Crossroads
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2022
ISBN: 9814486507
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Non Commutativity Infinite Dimensionality and Probability at the Crossroads Book Excerpt:

Spectral Theory of Non Commutative Harmonic Oscillators An Introduction

Spectral Theory of Non Commutative Harmonic Oscillators  An Introduction
Author: Alberto Parmeggiani
Publsiher: Springer
Total Pages: 260
Release: 2010-07-23
ISBN: 3642119220
Category: Mathematics
Language: EN, FR, DE, ES & NL

Spectral Theory of Non Commutative Harmonic Oscillators An Introduction Book Excerpt:

This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003–2007) “Development of Dynamical Mathematics with High Fu- tionality” (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program “DMHF”, Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x,?)-variables, (x,?)? R×R,and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Non commutative Harmonic Analysis

Non commutative Harmonic Analysis
Author: J. Dixmier,M. Vergne,Jacques Carmona
Publsiher: Unknown
Total Pages: 135
Release: 1975
ISBN: 1928374650XXX
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Non commutative Harmonic Analysis Book Excerpt:

An Invitation To Noncommutative Geometry

An Invitation To Noncommutative Geometry
Author: Matilde Marcolli,Masoud Khalkhali
Publsiher: World Scientific
Total Pages: 516
Release: 2008-02-11
ISBN: 9814475629
Category: Science
Language: EN, FR, DE, ES & NL

An Invitation To Noncommutative Geometry Book Excerpt:

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.

Advances in Algebra and Analysis

Advances in Algebra and Analysis
Author: V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa
Publsiher: Springer
Total Pages: 485
Release: 2019-01-23
ISBN: 3030011208
Category: Mathematics
Language: EN, FR, DE, ES & NL

Advances in Algebra and Analysis Book Excerpt:

This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.

Analysis at Urbana Volume 2 Analysis in Abstract Spaces

Analysis at Urbana  Volume 2  Analysis in Abstract Spaces
Author: Special Year in Modern Analysis (1986-1987 University of Illinois)
Publsiher: Cambridge University Press
Total Pages: 368
Release: 1989-03-30
ISBN: 9780521364379
Category: Mathematics
Language: EN, FR, DE, ES & NL

Analysis at Urbana Volume 2 Analysis in Abstract Spaces Book Excerpt:

This book lays emphasis on the synthesis of modern and classical analysis at the current frontiers of knowledge.

Noncommutative Ring Theory

Noncommutative Ring Theory
Author: J.H. Cozzens,F.L. Sandomierski
Publsiher: Springer
Total Pages: 216
Release: 2006-11-14
ISBN: 3540379835
Category: Mathematics
Language: EN, FR, DE, ES & NL

Noncommutative Ring Theory Book Excerpt: