Structural theorems for periodic ultradistributions
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- by Stevan Pilipović PDF
- Proc. Amer. Math. Soc. 98 (1986), 261-266 Request permission
Abstract:
Structural theorems for periodic ultradistributions of Roumieu and Beurling types are given.References
- V. I. Gorbačuk and M. L. Gorbačuk, Trigonometric series and generalized periodic functions, Dokl. Akad. Nauk SSSR 257 (1981), no. 4, 799–804 (Russian). MR 612570
- V. I. Gorbachuk, Fourier series of periodic ultradistributions, Ukrain. Mat. Zh. 34 (1982), no. 2, 144–150, 267 (Russian). MR 656670, DOI 10.1007/BF01091513
- Hikosaburo Komatsu, Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20 (1973), 25–105. MR 320743
- Stevan Pilipović, Generalization of Zemanian spaces of generalized functions which have orthonormal series expansions, SIAM J. Math. Anal. 17 (1986), no. 2, 477–484. MR 826708, DOI 10.1137/0517037
- Á. Száz, Periodic generalized functions, Publ. Math. Debrecen 25 (1978), no. 3-4, 229–235. MR 517005
- A. H. Zemanian, Generalized integral transformations, Pure and Applied Mathematics, Vol. XVIII, Interscience Publishers [John Wiley & Sons], New York-London-Sydney, 1968. MR 0423007
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 261-266
- MSC: Primary 46F05
- DOI: https://doi.org/10.1090/S0002-9939-1986-0854030-9
- MathSciNet review: 854030