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Book Review
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Book Information
Author(s):
R. Delanghe, F. Sommen, and V. Sou\v cek
Title:
Clifford algebra and spinor-valued functions, a function theory for the Dirac operator
Additional book information:
Kluwer, Dordrecht, 1992, xvi + 485 pp., US$176.00. ISBN 0-7923-0229-X
References:
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- B. Boos-Bavnbeck and K. Wojciechowski, Elliptic boundary value problems for Dirac operators, Birkhäuser, Basel and Boston, MA, 1993.
- [BDS]
- F. Brackx, R. Delanghe, and F. Sommen, Clifford analysis, Research Notes in Mathematics, vol. 76, Pitman, New York and London, 1982. MR 697564 (85j:30103)
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- [C]
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- G. David, J.-L. Journé, and S. Semmes, Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation, Rev. Mat. Iberoamericana 1 (1985), 1-57. MR 850408 (88f:47024)
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und mit Vier Reallen Variablen, Comment. Math. Helv. 7 (1934-35), 307-330. MR 1509515 - [GLQ]
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-boundedness of Clifford-valued singular integrals, Ann. Mat. Pura Appl. 165 (1993), 369-394. MR 1271427 (95k:30103) - [GM]
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- V. Iftimie, Fonctions hypercomplexes, Bull. Math. Soc. Sci. Math. R. S. Roumanie 9 (1965), 279-332. MR 0217312 (36:403)
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- H. Blaine Lawson, Jr., and Marie-Louise Michelsohn, Spin geometry, Princeton Univ. Press, Princeton, NJ, 1989. MR 1031992 (91g:53001)
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- C. Li, A. McIntosh, and T. Qian, Clifford algebras, Fourier transforms, and singular convolution operators on Lipschitz surfaces, Rev. Mat. Iberoamericana 10 (1994) (to appear). MR 1308706 (95k:42024)
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- C. Li, A. McIntosh, and S. Semmes, Convolution singular integrals on Lipschitz surfaces, J. Amer. Math. Soc. 5 (1992), 455-481. MR 1157291 (93b:42029)
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- Marius Mitrea, Clifford wavelets, singular integrals, and Hardy spaces, Lecture Notes in Math., vol. 1575, Springer-Verlag, Berlin and New York, 1994. MR 1295843 (96e:31005)
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- -, Clifford algebras, Fourier theory, singular integrals, and harmonic functions on Lipschitz domains, Clifford Algebras in Analysis and Related Topics (John Ryan, ed.), CRC Press, Boca Raton, FL, 1995.
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Additional Information:
Reviewer(s):
Alan
McIntosh
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
344-348.
DOI:
10.1090/S0273-0979-1995-00594-X
PII:
S 0273-0979(1995)00594-X
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