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 L 2 spaces with weights.
Dedicated to Luigi Rodino on the occasion of his 70th birthday.
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Liess, O. (2020). Carleman Regularization and Hyperfunctions. In: Boggiatto, P., et al. Advances in Microlocal and Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-36138-9_18
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DOI: https://doi.org/10.1007/978-3-030-36138-9_18
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