Equi-absolute convergence of eigenfunction expansions
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- by G. W. Hedstrom
- Proc. Amer. Math. Soc. 14 (1963), 483-490
- DOI: https://doi.org/10.1090/S0002-9939-1963-0149188-8
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References
- R. P. Boas Jr., Absolute convergence and integrability of trigonometric series, J. Rational Mech. Anal. 5 (1956), 621–632. MR 77701, DOI 10.1512/iumj.1956.5.55020
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338 S. Kaczmarz and H. Steinhaus, Theorie der Orthogonalreihen, 2nd ed., Chelsea, New York, 1951. E. Kamke, Differentialgleichungen, Lösungsmethoden und Lösungen, 3rd ed., Chelsea, New York, 1948. P. Lévy, Sur la convergence absolue des séries de Fourier, Compositio Math. 1 (1934), 1-14. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. Vol. 23, Amer. Math. Soc., Providence, R. I., 1939.
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
- Norbert Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), no. 1, 1–100. MR 1503035, DOI 10.2307/1968102
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 483-490
- MSC: Primary 42.16
- DOI: https://doi.org/10.1090/S0002-9939-1963-0149188-8
- MathSciNet review: 0149188