Spectral synthesis on algebras of Jacobi polynomial series

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  1. [1]

    F. Cazzaniga andC. Meaney, A local property of absolutely converging Jacobi polynomial series. Tôhoku Math. J.34, 389–406 (1982).

    Google Scholar 

  2. [2]

    A. K. Chilana andK. A. Ross, Spectral synthesis in hypergroups. Pacific J. Math.76, 313–328 (1978).

    Google Scholar 

  3. [3]

    G. Gasper, Banach algebras for Jacobi series and positivity of a kernel. Ann. of. Math.95, 261–280 (1972).

    Google Scholar 

  4. [4]

    E.Hewitt and K. A.Ross, Abstract harmonic analysis II. Berlin-Heidelberg-New York 1970.

  5. [5]

    S. Igara andY. Uno, Banach algebra related to the Jacobi polynomials. Tôhoku Math. J.21, 668–673 (1969).

    Google Scholar 

  6. [6]

    R. Lasser, Orthogonal polynomials and hypergroups. Rend. Mat.2, 185–209 (1983).

    Google Scholar 

  7. [7]

    W.Rudin, Functional analysis. New York 1973.

  8. [8]

    S.Szegö, Orthogonal polynomials, 3rd edition. Amer. Math. Soc. Colloquium Publ.23 (1967).

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Wolfenstetter, S. Spectral synthesis on algebras of Jacobi polynomial series. Arch. Math 43, 364–369 (1984). https://doi.org/10.1007/BF01196661

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  • Spectral Synthesis
  • Polynomial Series