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Analytic properties of expansions, and some variants of Parseval-Plancherel formulas

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Arkiv för Matematik

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Bibliography

  1. Bargmann, V., Representations of the Lorentz group, Annals of Math.48, 568–640. (1947).

    Article  MathSciNet  Google Scholar 

  2. Bateman manuscript project, Higher transcendental functions Volume I. 1953.

  3. Bieberbach, L., Analytische Fortsetzung, Berlin 1955.

  4. Boas, R. P., Entire Functions, New York 1954.

  5. Hardy, G. H., Littlewood, J. E., andPolya, G., Inequalities, Cambridge 1934.

  6. Harish Chandra, Plancherel formula for the 2×2 real unimodular group, Proc. Nat. Acad. Sci.38, 337–342 (1952).

    Article  MATH  MathSciNet  Google Scholar 

  7. Khuri, N. N., Regge Poles, Power Series, and a Crossing-Symmetric Watson-Sommerfeld Transformation, Phys. Rev.132, 914–926 (1963).

    Article  MathSciNet  Google Scholar 

  8. Lindelöf, L. L., Le calcul des résidus …, Paris, 1905.

  9. Poincaré H., œuvres, Vol. 10, pp. 94–203; especially section 19.

  10. Regge, R., Introduction to Complex Orbital Momenta, Il Nuovo Cimento14, 951–976 (1959).

    MATH  MathSciNet  Google Scholar 

  11. Sommerfeld, A., Partial Differential Equations in Physics, New York, 1949.

  12. Szego, G., Orthogonal Polynomials, 1939.

  13. Titchmarsh, E. C., Introduction to the theory of Fourier integrals, Oxford, 1937.

  14. Watson, G. N., The Diffraction of Electric Waves by the Earth, Proc. Roy. Soc. London,95, 83–99 (1918).

    Google Scholar 

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Stein, E.M., Wainger, S. Analytic properties of expansions, and some variants of Parseval-Plancherel formulas. Ark. Mat. 5, 553–567 (1965). https://doi.org/10.1007/BF02591531

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