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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Operators and harmonic analysis on the sphere
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by Charles F. Dunkl PDF
Trans. Amer. Math. Soc. 125 (1966), 250-263 Request permission
References
  • S. Bochner, Positive zonal functions on spheres, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 1141–1147. MR 68127, DOI 10.1073/pnas.40.12.1141
  • E. Cartan, Sur la determination d’un système orthogonal complet dans un espace de Riemann symmetrique clos, Rend. Circ. Mat. Palermo 53 (1929), 217-252. C. F. Dunkl, Harmonic analysis on spheres, Ph.D. Thesis, University of Wisconsin, Madison, 1965. A. Erdélyi, et al., Higher transcendental functions (Bateman Manuscript Project), Vols. I, II, McGraw-Hill, New York, 1953.
  • I. M. Gel′fand, Spherical functions in symmetric Riemann spaces, Doklady Akad. Nauk SSSR (N.S.) 70 (1950), 5–8 (Russian). MR 0033832
  • Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
  • Henry Helson, Isomorphisms of abelian group algebras, Ark. Mat. 2 (1953), 475–487. MR 58138, DOI 10.1007/BF02591001
  • I. I. Hirschman, Jr., Harmonic analysis and ultraspherical polynomials, Proceedings of the Conference on Harmonic Analysis, Cornell, 1956.
  • Lothar Koschmieder, Über die $C$-Summierbarkeit gewisser Reihen von Didon und Appell, Math. Ann. 104 (1931), no. 1, 387–402 (German). MR 1512676, DOI 10.1007/BF01457947
  • Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834
  • Walter Rudin, Projections on invariant subspaces, Proc. Amer. Math. Soc. 13 (1962), 429–432. MR 138012, DOI 10.1090/S0002-9939-1962-0138012-4
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 125 (1966), 250-263
  • MSC: Primary 22.65; Secondary 42.50
  • DOI: https://doi.org/10.1090/S0002-9947-1966-0203371-9
  • MathSciNet review: 0203371