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Carleman Regularization and Hyperfunctions

  • Otto LiessEmail author
Chapter
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Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

Carleman regularization is a method to give a meaning to Fourier-type integrals which are highly divergent in a classical sense. We use it to give a local representation of hyperfunctions in terms of such integrals. While such representations are not unique, uniqueness can be achieved in terms of Dolbeault type cohomology with coefficients in L2 spaces with weights.

Keywords

Carleman regularization Hyperfunctions Fourier transform 

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BolognaBolognaItaly

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