Fundamentals of Algebraic Microlocal Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)

"Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."

Science & Math

Struppa, Daniele C.

Kato, Goro

Mathematics

CRC-Press

* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics

Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics, 39)

Colombo, Fabrizio

Sabadini, Irene

Sommen, Franciscus

Birkhauser

* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics

Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics)

Michele Sce's Works in Hypercomplex Analysis: A Translation with Commentaries

This book presents English translations of Michele Sce's most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce's papers,&nbsp;the authors discuss&nbsp;their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research. The vast majority of the results presented here will be new to readers, allowing them to finally access&nbsp;the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field.

Regular Functions of a Quaternionic Variable (Springer Monographs in Mathematics)

Gentili, Graziano

Stoppato, Caterina

Springer

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Progress in Mathematics, 289)

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.

Politecnico di Milano, Prof. Fabrizio Colombo

This exposition of the new functional calculus methodology, as well as its analog for quaternionic linear operators is informed by the recently developed theory of hyperholomorphicity and is ideal for application to n-tuples of non-commuting linear operators.

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It defines the notion of bicomplex modules and then develops the theory of linear functionals and linear operators on bicomplex modules.

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (SpringerBriefs in Mathematics)

Alpay, Daniel

Shapiro, Michael

Luna-Elizarrarás, Maria Elena

Reference

See the best price to sell, buy, or rent books by Struppa, Daniele C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Struppa, Daniele C.

See the best price to sell, buy, or rent books by Struppa, Daniele C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Fundamentals of Algebraic Microlocal Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)

Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics, 39)

Fundamentals of Algebraic Microlocal Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)

Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics)

Michele Sce's Works in Hypercomplex Analysis: A Translation with Commentaries

Michele Sce's Works in Hypercomplex Analysis: A Translation with Commentaries

Regular Functions of a Quaternionic Variable (Springer Monographs in Mathematics)

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Progress in Mathematics, 289)

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Progress in Mathematics, 289)

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (SpringerBriefs in Mathematics)