Abstract
We analyze Fourier hyperfunction and hyperfunction semigroups with nondensely defined generators and their connections with local convoluted C-semigroups. Structural theorems and spectral characterizations give necessary and sufficient conditions for the existence of these semigroups generated by a closed possibly not densely defined operator A.
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Original Russian Text Copyright © 2015 Kostić M., Pilipović S., and Velinov D.
Novi Sad; Skopje. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 4, pp. 821–834, July–August, 2015; DOI: 10.17377/smzh.2015.56.409.
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Kostić, M., Pilipović, S. & Velinov, D. Hyperfunction semigroups. Sib Math J 56, 650–661 (2015). https://doi.org/10.1134/S0037446615040096
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DOI: https://doi.org/10.1134/S0037446615040096