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Iterated Function Systems And Permutation Representations Of The Cuntz Algebra
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Book Synopsis Iterated Function Systems and Permutation Representations of the Cuntz Algebra by : Ola Bratteli
Download or read book Iterated Function Systems and Permutation Representations of the Cuntz Algebra written by Ola Bratteli and published by American Mathematical Soc.. This book was released on 1999 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in functional analysis.
Book Synopsis Iterated Function Systems and Permutation Representations of the Cuntz Algebra by : Ola Bratteli
Download or read book Iterated Function Systems and Permutation Representations of the Cuntz Algebra written by Ola Bratteli and published by American Mathematical Soc.. This book was released on 1999-04-28 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes by : Daniel Alpay
Download or read book Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes written by Daniel Alpay and published by Birkhäuser. This book was released on 2015-04-30 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Representation Theory and Numerical AF-Invariants by : Ola Bratteli
Download or read book Representation Theory and Numerical AF-Invariants written by Ola Bratteli and published by American Mathematical Soc.. This book was released on 2004 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.
Author :Palle E. T. Jorgensen Publisher :Springer Science & Business Media ISBN 13 :0387330828 Total Pages :320 pages Book Rating :4.3/5 (873 download)
Book Synopsis Analysis and Probability by : Palle E. T. Jorgensen
Download or read book Analysis and Probability written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Non-commutative and Non-associative Algebra and Analysis Structures by : Sergei Silvestrov
Download or read book Non-commutative and Non-associative Algebra and Analysis Structures written by Sergei Silvestrov and published by Springer Nature. This book was released on 2023-09-25 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stochastic Processes, Statistical Methods, and Engineering Mathematics by : Anatoliy Malyarenko
Download or read book Stochastic Processes, Statistical Methods, and Engineering Mathematics written by Anatoliy Malyarenko and published by Springer Nature. This book was released on 2023-01-26 with total page 907 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Wavelets, Multiscale Systems and Hypercomplex Analysis by : Daniel Alpay
Download or read book Wavelets, Multiscale Systems and Hypercomplex Analysis written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2006-08-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Frames, Bases and Group Representations by : Deguang Han
Download or read book Frames, Bases and Group Representations written by Deguang Han and published by American Mathematical Soc.. This book was released on 2000 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Featured Reviews in Mathematical Reviews 1997-1999 by : Donald G. Babbitt
Download or read book Featured Reviews in Mathematical Reviews 1997-1999 written by Donald G. Babbitt and published by American Mathematical Soc.. This book was released on 2000-05-05 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$ by : Jonathan Brundan
Download or read book Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$ written by Jonathan Brundan and published by American Mathematical Soc.. This book was released on 2001 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: We give a self-contained account of the results originating in the work of James and the second author in the 1980s relating the representation theory of GL[n(F[q) over fields of characteristic coprime to q to the representation theory of "quantum GL[n" at roots of unity. The new treatment allows us to extend the theory in several directions. First, we prove a precise functorial connection between the operations of tensor product in quantum GL[n and Harish-Chandra induction in finite GL[n. This allows us to obtain a version of the recent Morita theorem of Cline, Parshall and Scott valid in addition for p-singular classes. From that we obtain simplified treatments of various basic known facts, such as the computation of decomposition numbers and blocks of GL[n(F[q) from knowledge of the same for the quantum group, and the non-defining analogue of Steinberg's tensor product theorem. We also easily obtain a new double centralizer property between GL[n(F[[q) and quantum GL[n, generalizing a result of Takeuchi. Finally, we apply the theory to study the affine general linear group, following ideas of Zelevinsky in characteristic zero. We prove results that can be regarded as the modular analogues of Zelevinsky's and Thoma's branching rules. Using these, we obtain a new dimension formula for the irreducible cross-characteristic representations of GL[n(F[q), expressing their dimensions in terms of the characters of irreducible modules over the quantum group.
Book Synopsis Introduction To The Theory Of by : Vasyl Ostrovskyi
Download or read book Introduction To The Theory Of written by Vasyl Ostrovskyi and published by CRC Press. This book was released on 2004-11-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the fundamentals of representations of finitely presented *-algebras by bounded operators. The theory is illustrated with numerous examples of *-algebra. The examples, in particular, include *-algebra with two self-adjoint generators that satisfy a quadratic or a more general relation, *-algebra with three or four generators, *-algebra that arise from one- and many-dimensional discrete dynamical systems. Wick *-algebra various; *-wild algebras. This book is intended for graduate students as well as researchers.
Book Synopsis Operator Theory, Operator Algebras, and Applications by : Deguang Han
Download or read book Operator Theory, Operator Algebras, and Applications written by Deguang Han and published by American Mathematical Soc.. This book was released on 2006 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.
Book Synopsis Semigroups, Categories, and Partial Algebras by : P. G. Romeo
Download or read book Semigroups, Categories, and Partial Algebras written by P. G. Romeo and published by Springer Nature. This book was released on 2021-03-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.
Author :Dmitry S. Kaliuzhnyi-Verbovetskyi Publisher :American Mathematical Soc. ISBN 13 :1470416972 Total Pages :194 pages Book Rating :4.4/5 (74 download)
Book Synopsis Foundations of Free Noncommutative Function Theory by : Dmitry S. Kaliuzhnyi-Verbovetskyi
Download or read book Foundations of Free Noncommutative Function Theory written by Dmitry S. Kaliuzhnyi-Verbovetskyi and published by American Mathematical Soc.. This book was released on 2014-11-19 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions. Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is "dimensionless" matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, and quantum control.
Book Synopsis Self-Similar Groups by : Volodymyr Nekrashevych
Download or read book Self-Similar Groups written by Volodymyr Nekrashevych and published by American Mathematical Society. This book was released on 2024-04-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-similar groups (groups generated by automata) appeared initially as examples of groups that are easy to define but that enjoy exotic properties like nontrivial torsion, intermediate growth, etc. The book studies the self-similarity phenomenon in group theory and shows its intimate relation with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. The relation is established through the notions of the iterated monodromy group and the limit space, which are the central topics of the book. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. It is shown in particular how Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties appear now not just as isolated examples but as naturally defined iterated monodromy groups of rational functions. The book is intended to be accessible to a wide mathematical readership, including graduate students interested in group theory and dynamical systems.
Book Synopsis Operator Theory And Analysis Of Infinite Networks by : Palle Jorgensen
Download or read book Operator Theory And Analysis Of Infinite Networks written by Palle Jorgensen and published by World Scientific. This book was released on 2023-03-21 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social networks. Indeed, network analysis plays a crucial role in many other areas of data science and engineering. In these models, the weights on the edges may be understood as conductances, or as a measure of similarity. Resistance networks also arise in probability, as they correspond to a broad class of Markov chains.The present volume takes the nonstandard approach of analyzing resistance networks from the point of view of Hilbert space theory, where the inner product is defined in terms of Dirichlet energy. The resulting viewpoint emphasizes orthogonality over convexity and provides new insights into the connections between harmonic functions, operators, and boundary theory. Novel applications to mathematical physics are given, especially in regard to the question of self-adjointness of unbounded operators.New topics are covered in a host of areas accessible to multiple audiences, at both beginning and more advanced levels. This is accomplished by directly linking diverse applied questions to such key areas of mathematics as functional analysis, operator theory, harmonic analysis, optimization, approximation theory, and probability theory.
