Expansions of distributions
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- by Gilbert G. Walter
- Trans. Amer. Math. Soc. 116 (1965), 492-510
- DOI: https://doi.org/10.1090/S0002-9947-1965-0187083-5
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References
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- Dunham Jackson, Fourier Series and Orthogonal Polynomials, Carus Monograph Series, no. 6, Mathematical Association of America, Oberlin, Ohio, 1941. MR 0005912, DOI 10.5948/UPO9781614440062 J. Korevaar, Distributions defined by fundamental sequences. I, II, III, IV, V, Nederl. Akad. Wetensch. Proc. Ser. A 58 (1955) = Indag. Math. 17 (1955), 368-378, 379-389, 483-493, 494-503, 663-674.
- Jacob Korevaar, Pansions and the theory of Fourier transforms, Trans. Amer. Math. Soc. 91 (1959), 53–101. MR 104975, DOI 10.1090/S0002-9947-1959-0104975-0
- J. Mikusiński and R. Sikorski, The elementary theory of distributions. I, Rozprawy Mat. 12 (1957), 54. MR 94702
- G. Sansone, Orthogonal functions, Pure and Applied Mathematics, Vol. IX, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1959. Revised English ed; Translated from the Italian by A. H. Diamond; with a foreword by E. Hille. MR 0103368 L. Schwartz, Théorie des distributions, Tomes I, II, Actualités Sci. Ind. Nos. 1091, 1122, Hermann, Paris, 1950, 1951.
- E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Oxford, at the Clarendon Press, 1946 (German). MR 0019765
- F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 116 (1965), 492-510
- MSC: Primary 46.40
- DOI: https://doi.org/10.1090/S0002-9947-1965-0187083-5
- MathSciNet review: 0187083