* 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)

Science & Math

Struppa, Daniele C.

Colombo, Fabrizio

Sabadini, Irene

Sommen, Franciscus

Mathematics

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)

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Operator Theory: Advances and Applications, 274)

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields.This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey  (Operator Theory: Advances and Applications, Vol. 270).

Gantner, Jonathan

Evolution

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators.&nbsp;This new approach allows to define new classes of fractional diffusion and evolution problems.&nbsp; These innovative methods and techniques, based on the concept of S-spectrum,&nbsp;can inspire researchers from various areas of operator theory and PDEs&nbsp;to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey&nbsp; (Operator Theory: Advances and Applications, Vol. 270).

Quaternionic de Branges Spaces and Characteristic Operator Function (SpringerBriefs in Mathematics)

Alpay, Daniel

Springer

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.

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (Operator Theory: Advances and Applications, 304)

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.

Slice Hyperholomorphic Schur Analysis (Operator Theory: Advances and Applications, 256)

This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions.Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.

Entire Slice Regular Functions (SpringerBriefs in Mathematics)

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

Books by Colombo, Fabrizio

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

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

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

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Operator Theory: Advances and Applications, 274)

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Operator Theory: Advances and Applications, 274)

Quaternionic de Branges Spaces and Characteristic Operator Function (SpringerBriefs in Mathematics)

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

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

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (Operator Theory: Advances and Applications, 304)

Slice Hyperholomorphic Schur Analysis (Operator Theory: Advances and Applications, 256)

Entire Slice Regular Functions (SpringerBriefs in Mathematics)