線形作用素と線形システム:シューア解析と超複素解析、ニューラルネットワーク、線形システムへの応用<br>Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems : Chapman University, January 2024

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線形作用素と線形システム:シューア解析と超複素解析、ニューラルネットワーク、線形システムへの応用
Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems : Chapman University, January 2024

  • 言語:ENG
  • ISBN:9783032023148
  • eISBN:9783032023155

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Description

This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory; Schur analysis and signal processing; hypercomplex analysis; and infinite dimensional analysis, probabilities, and non-commutative theory. The volume will be a valuable resource for mathematicians and other researchers interested in learning about the latest developments and applications of Schur analysis.

Table of Contents

Preface.- Continuous Stochastic Linear Systems: A white noise space approach.- Models for q-commuting and doubly q-commuting pairs of isometries.- Operator orbit Frames and frame-like Fourier expansions.- The q-Dirac Operator on Quantum Euclidean Space.- On the modified hyperholomorphic Dirichlet space on the punctured unit ball.- Linear Operators On a System H of All Scaled Hypercomplex Numbers.- Vertex-Glued Connected Finite Graphs and Mutually Free Semicircular Elements.- Extreme Points of Infinite-dimensional Symmetric Doubly Stochastic Matrices.- The Weyl sets corresponding to matricial Ham- burger and Stieltjes moment problems.- Geometry of the slice regular M ̈obius transformations of the quaternionic unit ball.- Hypertwined Regularity in Split–Quaternionic Analysis.- Applications of Multihyperbolic Analysis.

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