New Directions In Function Theory From Complex To Hypercomplex To Non Commutative
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New Directions in Function Theory From Complex to Hypercomplex to Non Commutative
Author | : Daniel Alpay,Ronen Peretz,David Shoikhet,Mihaela B. Vajiac |
Publsiher | : Springer Nature |
Total Pages | : 389 |
Release | : 2022-01-01 |
Genre | : Mathematics |
ISBN | : 9783030764739 |
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This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.
From Classical Analysis to Analysis on Fractals
Author | : Patricia Alonso Ruiz,Michael Hinz,Kasso A. Okoudjou,Luke G. Rogers,Alexander Teplyaev |
Publsiher | : Springer Nature |
Total Pages | : 294 |
Release | : 2023-11-25 |
Genre | : Mathematics |
ISBN | : 9783031378003 |
Download From Classical Analysis to Analysis on Fractals Book in PDF, Epub and Kindle
Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.
Exercises in Applied Mathematics
Author | : Daniel Alpay |
Publsiher | : Springer Nature |
Total Pages | : 694 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9783031518225 |
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Introduction to Geometric Function Theory of Hypercomplex Variables
Author | : Sorin G. Gal |
Publsiher | : Nova Publishers |
Total Pages | : 340 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 1590333640 |
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Introduction to Geometric Function Theory of Hypercomplex Variables
Noncommutative Functional Calculus
Author | : Prof. Fabrizio Colombo Politecnico di Milano,Irene Sabadini,Daniele C. Struppa |
Publsiher | : Springer Science & Business Media |
Total Pages | : 222 |
Release | : 2011-03-18 |
Genre | : Mathematics |
ISBN | : 9783034801102 |
Download Noncommutative Functional Calculus Book in PDF, Epub and Kindle
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.
Foundations of Free Noncommutative Function Theory
Author | : Dmitry S. Kaliuzhnyi-Verbovetskyi,Victor Vinnikov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 183 |
Release | : 2014-11-19 |
Genre | : Mathematics |
ISBN | : 9781470416973 |
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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.
Linear Systems Signal Processing and Hypercomplex Analysis
Author | : Daniel Alpay,Mihaela B. Vajiac |
Publsiher | : Springer |
Total Pages | : 316 |
Release | : 2019-08-08 |
Genre | : Mathematics |
ISBN | : 9783030184841 |
Download Linear Systems Signal Processing and Hypercomplex Analysis Book in PDF, Epub and Kindle
This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.
Clifford Algebras with Numeric and Symbolic Computations
Author | : Rafal Ablamowicz,Joseph Parra,Pertti Lounesto |
Publsiher | : Springer Science & Business Media |
Total Pages | : 328 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461581574 |
Download Clifford Algebras with Numeric and Symbolic Computations Book in PDF, Epub and Kindle
This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.