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Vector Moment Problems for Rapidly Decreasing
Smooth Functions of Several Variables


Author: Ricardo Estrada
Journal: Proc. Amer. Math. Soc. 126 (1998), 761-768
MSC (1991): Primary 30E05, 46F40
DOI: https://doi.org/10.1090/S0002-9939-98-04109-4
MathSciNet review: 1422866
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Abstract: The existence of rapidly decreasing smooth solutions of moment problems for functions of several variables with values in a Fréchet space is obtained. It is shown that the corresponding results for functions with values in a general topological vector space do not hold.


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Additional Information

Ricardo Estrada
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Address at time of publication: P. O. Box 276, Tres Ríos, Costa Rica
Email: restrada@cariari.ucr.ac.cr

DOI: https://doi.org/10.1090/S0002-9939-98-04109-4
Received by editor(s): May 25, 1995
Received by editor(s) in revised form: September 3, 1996
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1998 American Mathematical Society

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