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-02135052
Contributor : Vincent Valmorin <>
Submitted on : Thursday, July 11, 2019 - 2:13:18 PM
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Vincent Valmorin. Functional Calculus in the Algebra of Generalized Hyperfunctions on the Circle and Applications. 2019. ⟨hal-02135052⟩

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