Operator calculus on the class of Sato’s hyperfunctions | Zendy

M.I. Patra | Zendy; S. V. Sharyn | Zendy

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Operator calculus on the class of Sato’s hyperfunctions

Author(s) -

M.I. Patra,

S. V. Sharyn

Publication year - 2013

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.5.1.114-120

Subject(s) - mathematics , functional calculus , holomorphic functional calculus , calculus (dental) , operator (biology) , class (philosophy) , banach space , time scale calculus , space (punctuation) , pure mathematics , algebra over a field , multivariable calculus , finite rank operator , computer science , medicine , biochemistry , chemistry , dentistry , repressor , control engineering , artificial intelligence , transcription factor , gene , engineering , operating system

We construct a functional calculus for generators of analytic semigroups of operators on a Banach space. The symbol class of the calculus consists of hyperfunctions with a compact support in $[0,\infty)$. Domain of constructed calculus is dense in the Banach space.

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