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Mathematics PDF Available Non-peer-reviewed Preprint

Hyperfunction semigroups

Marko Kostic, Stevan Pilipovic, Daniel Velinov  ·  Published 2013-06-05

Abstract

We analyze Fourier hyperfunction and hyperfunction semigroups with non-densely defined generators and their connections with local convoluted $C$-semigroups. Structural theorems and spectral characterizations give necessary and sufficient conditions for the existence of such semigroups generated by a closed not necessarily densely defined operator $A$.

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