Iterated Function Systems and Permutation Representations of the Cuntz Algebra

Iterated Function Systems and Permutation Representations of the Cuntz Algebra PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821809628
Category : C*-algebras
Languages : en
Pages : 106

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Book Description
This book is intended for graduate students and research mathematicians working in functional analysis.

Iterated Function Systems and Permutation Representations of the Cuntz Algebra

Iterated Function Systems and Permutation Representations of the Cuntz Algebra PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821809628
Category : C*-algebras
Languages : en
Pages : 106

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Book Description
This book is intended for graduate students and research mathematicians working in functional analysis.

Iterated Function Systems and Permutation Representations of the Cuntz Algebra

Iterated Function Systems and Permutation Representations of the Cuntz Algebra PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 9780821863862
Category : Mathematics
Languages : en
Pages : 108

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Book Description


Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes

Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319103350
Category : Mathematics
Languages : en
Pages : 396

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Book Description
The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.

Representation Theory and Numerical AF-Invariants

Representation Theory and Numerical AF-Invariants PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821834916
Category : Mathematics
Languages : en
Pages : 202

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Book Description
Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.

Analysis and Probability

Analysis and Probability PDF Author: Palle E. T. Jorgensen
Publisher: Springer Science & Business Media
ISBN: 0387330828
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Non-commutative and Non-associative Algebra and Analysis Structures

Non-commutative and Non-associative Algebra and Analysis Structures PDF Author: Sergei Silvestrov
Publisher: Springer Nature
ISBN: 3031320093
Category : Mathematics
Languages : en
Pages : 833

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Book Description
The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks: 1. Stochastic processes and modern statistical methods in theory and practice, 2. Engineering Mathematics, 3. Algebraic Structures and applications. This book highlights the latest advances in algebraic structures and applications focused on mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods for the natural sciences, engineering, and modern technology. In particular, the book features mathematical methods and models from non-commutative and non-associative algebras and rings associated to generalizations of differential calculus, quantum deformations of algebras, Lie algebras, Lie superalgebras, color Lie algebras, Hom-algebras and their n-ary generalizations, semi-groups and group algebras, non-commutative and non-associative algebras and computational algebra interplay with q-special functions and q-analysis, topology, dynamical systems, representation theory, operator theory and functional analysis, applications of algebraic structures in coding theory, information analysis, geometry and probability theory. The book gathers selected, high-quality contributed chapters from several large research communities working on modern algebraic structures and their applications. The chapters cover both theory and applications, and are illustrated with a wealth of ideas, theorems, notions, proofs, examples, open problems, and results on the interplay of algebraic structures with other parts of Mathematics. The applications help readers grasp the material, and encourage them to develop new mathematical methods and concepts in their future research. Presenting new methods and results, reviews of cutting-edge research, open problems, and directions for future research, will serve as a source of inspiration for a broad range of researchers and students.

Stochastic Processes, Statistical Methods, and Engineering Mathematics

Stochastic Processes, Statistical Methods, and Engineering Mathematics PDF Author: Anatoliy Malyarenko
Publisher: Springer Nature
ISBN: 3031178203
Category : Mathematics
Languages : en
Pages : 907

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Book Description
The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019, was to showcase the frontiers of research in several important areas of mathematics, mathematical statistics, and its applications. The conference was organized around the following topics 1. Stochastic processes and modern statistical methods,2. Engineering mathematics,3. Algebraic structures and their applications. The conference brought together a select group of scientists, researchers, and practitioners from the industry who are actively contributing to the theory and applications of stochastic, and algebraic structures, methods, and models. The conference provided early stage researchers with the opportunity to learn from leaders in the field, to present their research, as well as to establish valuable research contacts in order to initiate collaborations in Sweden and abroad. New methods for pricing sophisticated financial derivatives, limit theorems for stochastic processes, advanced methods for statistical analysis of financial data, and modern computational methods in various areas of applied science can be found in this book. The principal reason for the growing interest in these questions comes from the fact that we are living in an extremely rapidly changing and challenging environment. This requires the quick introduction of new methods, coming from different areas of applied science. Advanced concepts in the book are illustrated in simple form with the help of tables and figures. Most of the papers are self-contained, and thus ideally suitable for self-study. Solutions to sophisticated problems located at the intersection of various theoretical and applied areas of the natural sciences are presented in these proceedings.

Wavelets, Multiscale Systems and Hypercomplex Analysis

Wavelets, Multiscale Systems and Hypercomplex Analysis PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 3764375884
Category : Mathematics
Languages : en
Pages : 197

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Book Description
This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.

Frames, Bases and Group Representations

Frames, Bases and Group Representations PDF Author: Deguang Han
Publisher: American Mathematical Soc.
ISBN: 0821820672
Category : Mathematics
Languages : en
Pages : 111

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Book Description
This work develops an operator-theoretic approach to discrete frame theory on a separable Hilbert space. It is then applied to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. Also obtained are applications of frame theory to group representations, and of the theory of abstract unitary systems to frames generated by Gabor type systems.

Featured Reviews in Mathematical Reviews 1997-1999

Featured Reviews in Mathematical Reviews 1997-1999 PDF Author: Donald G. Babbitt
Publisher: American Mathematical Soc.
ISBN: 9780821896709
Category : Mathematics
Languages : en
Pages : 762

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Book Description
This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.