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Advances in analysis and geometry: new developments using Clifford algebras

 By Tao Qian

Book overview

The study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool lies in the heart of Clifford analysis. The focus is on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. At the present time, the study of Clifford algebra and Clifford analysis has grown into a major research field. There are two sources of papers in this collection. One is from a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other stems from invited contributions by top-notch experts in the field. All articles were strictly refereed and contain unpublished new results. Some of them are incorporated with comprehensive surveys in the particular areas that the authors work in. TOC:Preface.- Differential Equations and Operator Theory.- Global Analysis and Differential Geometry.- Applications.

Limited preview - 2004 - 376 pages - Mathematics


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Publication List
11: Cauchy kernels for some conformally flat manifolds, Advances in Analysis and Geometry, New Developments Using Clifford Algebras, edited by Tao Qian et ...
comp.uark.edu/ ~jryan/ pubsr.html

Generalized multidimensional Hilbert transforms in Clifford analysis
T. Qian, Th. Hempfling, A. mcintosh, and F. Sommen, Eds., Advances in Analysis and Geometry. New Developments Using Clifford Algebras, Trends in Mathematics ...
www.hindawi.com/ GetArticle.aspx?doi=10.1155/ IJMMS/ 2006/ 98145& e=ref

FST Academic Staff - Qian Tao
Academic Qualifications | Working Experience | Teaching | Research | Mathematical Conference Organization | Selected Publications | Professional ...
www.fst.umac.mo/ en/ staff/ fsttq.html

ADVANCES IN ANALYSIS AND GEOMETRY: NEW DEVELOPMENTS USING CLIFFORD ...
ADVANCES IN ANALYSIS AND GEOMETRY: NEW DEVELOPMENTS USING CLIFFORD ALGEBRAS (TRENDS IN MATHEMATICS) - Tao Qian, Thomas Hempfling, Al.
tao-qian-thomas-hempfling-al.comprar-livro.com.br/ livros/ 1376436661/

Complete list of publications of CRG – Clifford Research Group ...
Complete list of publications of CRG – Clifford Research Group Ghent University. Actual members of the research group. Fred Brackx (director) ...
cage.rug.ac.be/ crg/ cliffordpublicaties.PDF

Contents
B) N. ATIONAL. P. UBLISHERS …………………………….……….……….. 1. C). REGIONAL. P. UBLISHERS …………………….………………………... 2. D) T. ABLE OF. R. ESULTS …………………...
www.umac.mo/ research/ docs/ research_directory_99_05.pdf

References to this book

From Google Scholar

Generalized multidimensional Hilbert transforms in Clifford analysis
FRED BRACKX - 2006 - International Journal of Mathematics and Mathematical Sciences
On the Fourier Spectra of Distributions in Clifford Analysis
Fred Brackx, Bram De Knock, Hennie De Schepper - 2006 - Chinese Annals of Mathematics-Series B
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Popular passages

... order to guarantee the timely appearance of the proceedings it is essential that the final version of the entire material be submitted no later than one year after the conference. The total number of pages should not exceed 350. The first-mentioned author of each article will receive 25 free offprints. To the participants of the congress the book will be offered at a special rate.Page ii
Shapiro: Integral representations for spatial models of mathematical physics, Pitman Research Notes in Mathematics Series 351 Harlow: Longman, 1996.Page 128
Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30-November 3, 2000.Page 128
The inner products of geometric algebra, in Applications of Geometric Algebra in Computer Science and Engineering, L. Dorst, C. Doran, and J. Lasenby, eds., Birkhauser, Boston, 2002, p.Page 363
Faculty of Science and Technology, University of Macau PO Box 3001, Macau (via Hong Kong) E-Mail: babka@umac.mo Abstract 1 Introduction The presented hybrid environment represents a knowledge-based support of engineering computation.Page 147
W (1995) On decompositions of the Clifford valued Hilbert space and their applications to boundary value problems. Advances in Applied Clifford Algebras 5. No. 2...Page 310
School of Science and Engineering, Waseda University, 3-4-1 , Okubo, Shinjuku-ku, Tokyo, Japan...Page 225