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Clifford Analysis and Related Topics : In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17 / edited by Paula Cerejeiras, Craig A. Nolder, John Ryan, Carmen Judith Vanegas Espinoza
(Springer Proceedings in Mathematics & Statistics. ISSN:21941017 ; 260)

1st ed. 2018.
出版者 (Cham : Springer International Publishing : Imprint: Springer)
出版年 2018
本文言語 英語
大きさ VII, 152 p : online resource
著者標目 Cerejeiras, Paula editor
Nolder, Craig A editor
Ryan, John editor
Vanegas Espinoza, Carmen Judith editor
SpringerLink (Online service)
件 名 LCSH:Functions of complex variables
LCSH:Harmonic analysis
FREE:Functions of a Complex Variable
FREE:Abstract Harmonic Analysis
一般注記 Ballenger-Fazzone, K. and Nolder, C. A: Lambda-harmonic Functions: An Expository Account -- Cerejeiras, P., Kahler, U. Kraußhar, R. S: Some Applications of Parabolic Dirac Operators to the Instationary Navier-Stokes Problem on Conformally Flat Cylinders and Tori in R3 -- Cerejeiras, P., Kahler, U. and Ryan, J: From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds -- Ding, C. and Ryan, J: On Some Conformally Invariant Operators in Euclidean Space -- Emanuello, J. A. and Nolder, C. A: Notions of Regularity for Functions of a Split-quaternionic Variable -- Raeymaekers, T: Decomposition of the Twisted Dirac Operator -- Vajiac, M. B: Norms and Moduli on Multicomplex Spaces -- Vanegas, C. J. and Vargas, F. A: Associated Operators to the Space of Meta-q-Monogenic Functions
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
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分 類 LCC:QA331.7
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書誌ID 4000115520
ISBN 9783030000493

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