FUNCTIONAL CALCULUS IN THE ALGEBRA OF GENERALIZED HYPERFUNCTIONS ON THE CIRCLE AND APPLICATIONS

Abstract : This paper deals with a functional calculus in the algebra HpTq of generalized hyperfunctions on the circle. This is done introducing an inductive family of complete ultrametric sub-algebras. Power series expansions of classical functions such as the exponential, logarithm or power ones are considered. As an application , a nonlinear Cauchy problem involving fractional powers of generalized hyperfunctions is studied. 1
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https://hal.univ-antilles.fr/hal-02099190
Contributor : Vincent Valmorin <>
Submitted on : Sunday, April 14, 2019 - 1:03:23 PM
Last modification on : Wednesday, April 17, 2019 - 1:05:12 AM

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V. Valmorin. FUNCTIONAL CALCULUS IN THE ALGEBRA OF GENERALIZED HYPERFUNCTIONS ON THE CIRCLE AND APPLICATIONS. 2019. ⟨hal-02099190⟩

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