Clifford Analysis and Its Applications

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F. Brackx, John Stephen roy Chisholm, V. Soucek
Springer Science & Business Media, Jul 31, 2001 - Mathematics - 416 pages
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In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research.
Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.
  

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Contents

II
1
III
9
IV
27
V
39
VI
49
VII
59
VIII
71
IX
81
XX
193
XXI
213
XXII
223
XXIII
231
XXIV
247
XXV
255
XXVI
267
XXVII
283

X
91
XI
103
XII
113
XIII
123
XIV
135
XV
143
XVI
155
XVII
163
XVIII
173
XIX
183
XXVIII
293
XXIX
303
XXX
323
XXXI
341
XXXII
361
XXXIII
377
XXXIV
389
XXXV
399
XXXVI
411
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