Characterizations of W-type spaces

Betancor, J.; Rodríguez-Mesa, L.

doi:10.1090/S0002-9939-98-04219-1

Characterizations of W-type spaces
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by J. J. Betancor and L. Rodríguez-Mesa PDF

Proc. Amer. Math. Soc. 126 (1998), 1371-1379 Request permission

Abstract:

In this paper we obtain new characterizations of certain spaces of W-type.

References

S. J. L. van Eijndhoven and J. de Graaf, Some results on Hankel invariant distribution spaces, Nederl. Akad. Wetensch. Indag. Math. 45 (1983), no. 1, 77–87. MR 695592
S.J.L. van Eijndhoven and M.J. Kerkhof, The Hankel transformation and spaces of type W, Reports on Applied and Numerical Analysis, Departament of Mathematics and Computing Science, Eindhoven University of Technology, 1988.
I. M. Gel′fand and G. E. Shilov, Generalized functions. Vol. 2. Spaces of fundamental and generalized functions, Academic Press, New York-London, 1968. Translated from the Russian by Morris D. Friedman, Amiel Feinstein and Christian P. Peltzer. MR 0230128
A. Kaziev, Elliptic operators in the space of generalized functions, Dokl. Akad. Nauk Tadžik, SSR 10 (1967), no. 5, 7–9 (Russian, with Tajiki summary). MR 0217417
Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
R. S. Pathak, On Hankel transformable spaces and a Cauchy problem, Canad. J. Math. 37 (1985), no. 1, 84–106. MR 777042, DOI 10.4153/CJM-1985-008-2
R. S. Pathak and S. K. Upadhyay, $W^p$-spaces and Fourier transform, Proc. Amer. Math. Soc. 121 (1994), no. 3, 733–738. MR 1185272, DOI 10.1090/S0002-9939-1994-1185272-8
Albert Eagle, Series for all the roots of the equation $(z-a)^m=k(z-b)^n$, Amer. Math. Monthly 46 (1939), 425–428. MR 6, DOI 10.2307/2303037
A. H. Zemanian, Generalized integral transformations, Pure and Applied Mathematics, Vol. XVIII, Interscience Publishers [John Wiley & Sons], New York-London-Sydney, 1968. MR 0423007