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Clifford Analysis and Related Topics

In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17

  • Conference proceedings
  • © 2018

Overview

  • Highlights new developments in the main directions of Clifford analysis
  • Offers new perspectives and outlines current trends for researchers interested in or working on these topics
  • Theoretical contributions were written by leading experts in the field, while contributions of an expository nature were written for persons working in these areas and are easily accessible for non-specialists
  • Commemorates the work of Paul Dirac

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 260)

Included in the following conference series:

Conference proceedings info: CART 2014.

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Table of contents (9 papers)

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  1. Clifford Analysis and Related Topics

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About this book

This book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis. Just as complex analysis is based on the algebra of the complex numbers, Clifford analysis is based on the geometric Clifford algebras. Many methods and theorems from complex analysis generalize to higher dimensions in various ways. However, many new features emerge in the process, and much of this work is still in its infancy.

Some of the leading mathematicians working in this field have contributed to this book in conjunction with “Clifford Analysis and Related Topics: a conference in honor of Paul A.M. Dirac,” which was held at Florida State University, Tallahassee, on December 15-17, 2014. The content reflects talks given at the conference, as well as contributions from mathematicians who were invited but were unable to attend. Hence much of the mathematics presented here is not only highly topical, but also cannot be found elsewhere in print.Given its scope, the book will be of interest to mathematicians and physicists working in these areas, as well as students seeking to catch up on the latest developments.

Editors and Affiliations

  • Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  • Department of Mathematics, Florida State University, Tallahassee, USA

    Craig A. Nolder

  • Department of Mathematics, University of Arkansas, Fayetteville, USA

    John Ryan

  • Departamento de Matemáticas Puras y Aplicadas, Universidad Simón Bolívar, Caracas, Venezuela

    Carmen Judith Vanegas Espinoza

Bibliographic Information

  • Book Title: Clifford Analysis and Related Topics

  • Book Subtitle: In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17

  • Editors: Paula Cerejeiras, Craig A. Nolder, John Ryan, Carmen Judith Vanegas Espinoza

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-00049-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-030-00047-9Published: 08 September 2018

  • Softcover ISBN: 978-3-030-13080-0Published: 10 December 2019

  • eBook ISBN: 978-3-030-00049-3Published: 07 September 2018

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VII, 152

  • Topics: Functions of a Complex Variable, Abstract Harmonic Analysis

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