Hyperfunction semigroups
Marko Kosti\'c, Stevan Pilipovi\'c, Daniel Velinov
TL;DR
This paper investigates Fourier hyperfunction and hyperfunction semigroups with non-dense generators, establishing structural theorems and spectral conditions for their existence and linking them to local convoluted C-semigroups.
Contribution
It provides new structural theorems and spectral characterizations for hyperfunction semigroups with non-dense generators, expanding the theoretical framework.
Findings
Necessary and sufficient conditions for existence of such semigroups
Connections established between hyperfunction semigroups and local convoluted C-semigroups
Characterizations involving non-densely defined operators
Abstract
We analyze Fourier hyperfunction and hyperfunction semigroups with non-densely defined generators and their connections with local convoluted -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 .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Banach Space Theory · advanced mathematical theories