Linear Systems, Signal Processing and Hypercomplex Analysis

Linear Systems, Signal Processing and Hypercomplex Analysis PDF Author: Daniel Alpay
Publisher: Springer
ISBN: 3030184846
Category : Mathematics
Languages : en
Pages : 316

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Book Description
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.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3030764737
Category : Mathematics
Languages : en
Pages : 389

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Book Description
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.

Signal Processing and Linear Systems

Signal Processing and Linear Systems PDF Author: B. P. Lathi
Publisher:
ISBN: 9780190651077
Category :
Languages : en
Pages :

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Book Description


Differential Equations, Mathematical Modeling and Computational Algorithms

Differential Equations, Mathematical Modeling and Computational Algorithms PDF Author: Vladimir Vasilyev
Publisher: Springer Nature
ISBN: 3031285050
Category : Mathematics
Languages : en
Pages : 294

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Book Description
This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.

From Classical Analysis to Analysis on Fractals

From Classical Analysis to Analysis on Fractals PDF Author: Patricia Alonso Ruiz
Publisher: Springer Nature
ISBN: 3031378008
Category : Mathematics
Languages : en
Pages : 294

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Book Description
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.

Advances in Computer Graphics

Advances in Computer Graphics PDF Author: Bin Sheng
Publisher: Springer Nature
ISBN: 3031500784
Category : Computers
Languages : en
Pages : 409

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Book Description
This 4-volume set of LNCS 14495-14498 constitutes the proceedings of the 40th Computer Graphics International Conference, CGI 2023, held in Shanghai, China, August 28 – September 1, 2023. The 149 papers in this set were carefully reviewed and selected from 385 submissions. They are organized in topical sections as follows: Detection and Recognition; Image Analysis and Processing; Image Restoration and Enhancement; Image Attention and Perception; Reconstruction; Rendering and Animation; Synthesis and Generation; Visual Analytics and Modeling; Graphics and AR/VR; Medical Imaging and Robotics; Theoretical Analysis; Image Analysis and Visualization in Advanced Medical Imaging Technology; Empowering Novel Geometric Algebra for Graphics and Engineering.

Slice Hyperholomorphic Schur Analysis

Slice Hyperholomorphic Schur Analysis PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319425145
Category : Mathematics
Languages : en
Pages : 362

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Book Description
This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.

Signals and Transforms in Linear Systems Analysis

Signals and Transforms in Linear Systems Analysis PDF Author: Wasyl Wasylkiwskyj
Publisher: Springer Science & Business Media
ISBN: 1461432871
Category : Technology & Engineering
Languages : en
Pages : 387

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Book Description
Signals and Transforms in Linear Systems Analysis covers the subject of signals and transforms, particularly in the context of linear systems theory. Chapter 2 provides the theoretical background for the remainder of the text. Chapter 3 treats Fourier series and integrals. Particular attention is paid to convergence properties at step discontinuities. This includes the Gibbs phenomenon and its amelioration via the Fejer summation techniques. Special topics include modulation and analytic signal representation, Fourier transforms and analytic function theory, time-frequency analysis and frequency dispersion. Fundamentals of linear system theory for LTI analogue systems, with a brief account of time-varying systems, are covered in Chapter 4 . Discrete systems are covered in Chapters 6 and 7. The Laplace transform treatment in Chapter 5 relies heavily on analytic function theory as does Chapter 8 on Z -transforms. The necessary background on complex variables is provided in Appendix A. This book is intended to serve as a text on signals and transforms for a first year one semester graduate course, primarily for electrical engineers.

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.

Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law

Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law PDF Author: Ilwoo Cho
Publisher: Elsevier
ISBN: 0443151768
Category : Mathematics
Languages : en
Pages : 166

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Book Description
In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how “free-Hilbert-space Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how “inside actions of operator algebra deform the free-probabilistic information—in particular, the semicircular law. Presents the spectral properties of three types of operators on a Hilbert space, in particular how these operators affect the semicircular law Demonstrates how the semicircular law is deformed by actions "from inside", as opposed to actions "from outside" considered by previous theory Explores free Hilbert spaces and their modeling applications Authored by two leading researchers in Operator Theory and Operator Algebra