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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 4, Pages 821–834
DOI: https://doi.org/10.17377/smzh.2015.56.409 (Mi smj2681) 		 
Hyperfunction semigroups

M. Kostića, S. Pilipovićb, D. Velinovc

a University of Novi Sad, Faculty of Technical Sciences, Novi Sad, Serbia
b University of Novi Sad, Novi Sad, Serbia
c Department for Mathematics, Faculty of Civil Engineering, University Ss. Cyril and Methodius–Skopje, Skopje, Macedonia
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DOI: https://doi.org/10.17377/smzh.2015.56.409
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 $A$.
Keywords: Fourier hyperfunction semigroups, hyperfunction semigroups, structural theorems.
Received: 02.02.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 4, Pages 650–661
DOI: https://doi.org/10.1134/S0037446615040096
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: M. Kostić, S. Pilipović, D. Velinov, “Hyperfunction semigroups”, Sibirsk. Mat. Zh., 56:4 (2015), 821–834; Siberian Math. J., 56:4 (2015), 650–661
Citation in format AMSBIB
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