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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

Book Information

Author: Antoni Wawrzyńczyk
Title: Group representations and special functions
Additional book information Mathematics and its Applications, D. Reidel Publishing Co., Dordrecht/Boston/Lancaster, 1984, xvi + 687 pp., $119.00 US; Dfl. 320,--. ISBN 90-277-1269-7.


References [Enhancements On Off] (What's this?)

  • 1. Antoni Wawrzyńczyk, Współczesna teoria funkcji specjalnych, Biblioteka Matematyczna [Mathematics Library], vol. 52, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1978 (Polish). Wstęp do analizy harmonicznej na przestrzeniach jednorodnych. [Introduction to harmonic analysis in homogeneous spaces]; With a section on problems by Aleksander Strasburger. MR 509039 (81c:33011)
  • 2. N. Ja. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, Izdat. “Nauka”, Moscow, 1965 (Russian). MR 0209523 (35 #420)
  • 3. James D. Talman, Special functions: A group theoretic approach, Based on lectures by Eugene P. Wigner. With an introduction by Eugene P. Wigner, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0239154 (39 #511)
  • 4. Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455 (26 #2986)
  • 5. Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561 (80k:53081)
  • 6. Willard Miller Jr., Lie theory and special functions, Mathematics in Science and Engineering, Vol. 43, Academic Press, New York-London, 1968. MR 0264140 (41 #8736)
  • 7. Teturo Inui, Unified theory of recurrence formulas. II, Progress Theoret. Physics 3 (1948), 244–261. MR 0028484 (10,454f)
  • 8. L. Infeld and T. E. Hull, The factorization method, Rev. Modern Physics 23 (1951), 21–68. MR 0043308 (13,239d)
  • 9. Tom Koornwinder, The addition formula for Jacobi polynomials and spherical harmonics, SIAM J. Appl. Math. 25 (1973), 236–246. Lie algebras: applications and computational methods (Conf., Drexel Univ., Philadelphia, Pa., 1972). MR 0346212 (49 #10938)
  • 10. Tom Koornwinder, Two-variable analogues of the classical orthogonal polynomials, Theory and application of special functions (Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975) Academic Press, New York, 1975, pp. 435–495. Math. Res. Center, Univ. Wisconsin, Publ. No. 35. MR 0402146 (53 #5967)
  • 11. Tom H. Koornwinder, Jacobi functions and analysis on noncompact semisimple Lie groups, Special functions: group theoretical aspects and applications, Math. Appl., Reidel, Dordrecht, 1984, pp. 1–85. MR 774055 (86m:33018)
  • 12. Richard Askey and James Wilson, A set of orthogonal polynomials that generalize the Racah coefficients or 6-𝑗 symbols, SIAM J. Math. Anal. 10 (1979), no. 5, 1008–1016. MR 541097 (80k:33012), http://dx.doi.org/10.1137/0510092
  • 13. Dennis Stanton, Orthogonal polynomials and Chevalley groups, Special functions: group theoretical aspects and applications, Math. Appl., Reidel, Dordrecht, 1984, pp. 87–128. MR 774056 (86d:22008)
  • 14. Willard Miller Jr., Symmetry and separation of variables, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1977. With a foreword by Richard Askey; Encyclopedia of Mathematics and its Applications, Vol. 4. MR 0460751 (57 #744)
  • 15. Sigurđur Helgason, Lie groups and symmetric spaces, Battelle Rencontres. 1967 Lectures in Mathematics and Physics, Benjamin, New York, 1968, pp. 1–71. MR 0236325 (38 #4622)


Review Information

Reviewer: Willard Miller, Jr.
Journal: Bull. Amer. Math. Soc. 13 (1985), 70-73
DOI: http://dx.doi.org/10.1090/S0273-0979-1985-15371-6
PII: S 0273-0979(1985)15371-6