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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj2681 https://www.mathnet.ru/eng/smj/v56/i4/p821
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