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Spectral Theory on the S-Spectrum for Quaternionic Operators (Hardcover, 1st ed. 2018): Fabrizio Colombo, Jonathan Gantner,... Spectral Theory on the S-Spectrum for Quaternionic Operators (Hardcover, 1st ed. 2018)
Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
R2,925 Discovery Miles 29 250 Ships in 10 - 15 working days

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.

Advances in Complex Analysis and Operator Theory - Festschrift in Honor of Daniel Alpay's 60th Birthday (Hardcover, 1st... Advances in Complex Analysis and Operator Theory - Festschrift in Honor of Daniel Alpay's 60th Birthday (Hardcover, 1st ed. 2017)
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, Mihaela B. Vajiac
R4,424 Discovery Miles 44 240 Ships in 12 - 19 working days

This book gathers contributions written by Daniel Alpay's friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay's 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay's primary research interests. The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.

Michele Sce's Works in Hypercomplex Analysis - A Translation with Commentaries (Hardcover, 1st ed. 2020): Fabrizio... Michele Sce's Works in Hypercomplex Analysis - A Translation with Commentaries (Hardcover, 1st ed. 2020)
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
R1,521 Discovery Miles 15 210 Ships in 10 - 15 working days

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, the authors discuss 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 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.

Analysis of Dirac Systems and Computational Algebra (Hardcover, 2004 ed.): Fabrizio Colombo, Irene Sabadini, Franciscus Sommen,... Analysis of Dirac Systems and Computational Algebra (Hardcover, 2004 ed.)
Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa
R1,569 Discovery Miles 15 690 Ships in 10 - 15 working days

* 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

Noncommutative Analysis, Operator Theory and Applications (Hardcover, 1st ed. 2016): Daniel Alpay, Fabio Cipriani, Fabrizio... Noncommutative Analysis, Operator Theory and Applications (Hardcover, 1st ed. 2016)
Daniel Alpay, Fabio Cipriani, Fabrizio Colombo, Daniele Guido, Irene Sabadini, …
R2,926 Discovery Miles 29 260 Ships in 10 - 15 working days

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Slice Hyperholomorphic Schur Analysis (Hardcover, 1st ed. 2016): Daniel Alpay, Fabrizio Colombo, Irene Sabadini Slice Hyperholomorphic Schur Analysis (Hardcover, 1st ed. 2016)
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
R2,959 Discovery Miles 29 590 Ships in 10 - 15 working days

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.

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Hardcover, 1st ed. 2019): Fabrizio... Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Hardcover, 1st ed. 2019)
Fabrizio Colombo, Jonathan Gantner
R2,639 R1,950 Discovery Miles 19 500 Save R689 (26%) Ships in 12 - 19 working days

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).

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis - IWOTA 2021, Chapman University (Hardcover,... Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis - IWOTA 2021, Chapman University (Hardcover, 1st ed. 2023)
Daniel Alpay, Jussi Behrndt, Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
R6,319 Discovery Miles 63 190 Ships in 12 - 19 working days

This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.

Michele Sce's Works in Hypercomplex Analysis - A Translation with Commentaries (Paperback, 1st ed. 2020): Fabrizio... Michele Sce's Works in Hypercomplex Analysis - A Translation with Commentaries (Paperback, 1st ed. 2020)
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
R1,473 Discovery Miles 14 730 Ships in 10 - 15 working days

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, the authors discuss 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 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.

Slice Hyperholomorphic Schur Analysis (Paperback, Softcover reprint of the original 1st ed. 2016): Daniel Alpay, Fabrizio... Slice Hyperholomorphic Schur Analysis (Paperback, Softcover reprint of the original 1st ed. 2016)
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
R2,897 Discovery Miles 28 970 Ships in 10 - 15 working days

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.

Noncommutative Analysis, Operator Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2016): Daniel... Noncommutative Analysis, Operator Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2016)
Daniel Alpay, Fabio Cipriani, Fabrizio Colombo, Daniele Guido, Irene Sabadini, …
R3,660 Discovery Miles 36 600 Ships in 10 - 15 working days

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Noncommutative Functional Calculus - Theory and Applications of Slice Hyperholomorphic Functions (Hardcover, 2011 Ed.): Prof.... Noncommutative Functional Calculus - Theory and Applications of Slice Hyperholomorphic Functions (Hardcover, 2011 Ed.)
Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa
R1,533 Discovery Miles 15 330 Ships in 10 - 15 working days

"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."

Noncommutative Functional Calculus - Theory and Applications of Slice Hyperholomorphic Functions (Paperback, 2011 ed.): Prof.... Noncommutative Functional Calculus - Theory and Applications of Slice Hyperholomorphic Functions (Paperback, 2011 ed.)
Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa
R1,502 Discovery Miles 15 020 Ships in 10 - 15 working days

"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."

Analysis of Dirac Systems and Computational Algebra (Paperback, Softcover reprint of the original 1st ed. 2004): Fabrizio... Analysis of Dirac Systems and Computational Algebra (Paperback, Softcover reprint of the original 1st ed. 2004)
Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa
R1,538 Discovery Miles 15 380 Ships in 10 - 15 working days

* 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

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Paperback, 1st ed. 2019): Fabrizio... Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes (Paperback, 1st ed. 2019)
Fabrizio Colombo, Jonathan Gantner
R2,639 Discovery Miles 26 390 Ships in 10 - 15 working days

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).

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