Convolution equations and spaces of ultradifferentiable functions |
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Authors: | Daniele C Struppa |
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Institution: | (1) Scuola Normale Superiore, Piazza dei Cavalieri, 7.56100 Pisa, Italy |
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Abstract: | We study spaces of “approximate solutions” to a given convolution equation. In particular we show how their quasianalyticity
can be reduced to the study of a suitably constructed Cauchy problem for related spaces. We give a unicity theorem for this
problem.
This paper is dedicated to the author’s son, Alessandro. The author has been partially supported by Ministero P.I., and G.N.S.A.G.A.
of Consiglio Nazionale delle Ricerche. |
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Keywords: | |
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