Titchmarsh’s convolution theorem on groups
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References
- G. K. Kalisch, A functional anaysis proof of Titchmarsh’s theorem on convolution, J. Math. Anal. Appl. 5 (1962), 176–183. MR 140893, DOI 10.1016/S0022-247X(62)80002-X
- J. L. Lions, Supports dans la transformation de Laplace, J. Analyse Math. 2 (1953), 369–380 (French). MR 58013, DOI 10.1007/BF02825641
- George W. Mackey, The Laplace transform for locally compact Abelian groups, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 156–162. MR 24446, DOI 10.1073/pnas.34.4.156
- Jan Mikusiński, Operational calculus, International Series of Monographs on Pure and Applied Mathematics, Vol. 8, Pergamon Press, New York-London-Paris-Los Angeles; Państwowe Wydawnictwo Naukowe, Warsaw, 1959. MR 0105594 M. Plancherel and G. Pólya, Functions entieres et integrates de Fourier multiples, Comment. Math. Helv. 9 (1936-1937), 224-248. L. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939; pp. 161-162.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 75-79
- MSC: Primary 42.55
- DOI: https://doi.org/10.1090/S0002-9939-1968-0221222-0
- MathSciNet review: 0221222