Application of the dual space of Gelfand-Shilov spaces of Beurling type | Zendy

Ala Qadomi | Zendy; Maysam Abu-Dalu | Zendy; Sa’ud Al-Sa’di | Zendy; Hamed M. Obiedat | Zendy

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Application of the dual space of Gelfand-Shilov spaces of Beurling type

Author(s) -

Ala Qadomi,

Maysam Abu-Dalu,

Sa’ud Al-Sa’di,

Hamed M. Obiedat

Publication year - 2022

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.50603

Subject(s) - mathematics , space (punctuation) , dual (grammatical number) , pure mathematics , semigroup , type (biology) , sigma , prime (order theory) , action (physics) , beta (programming language) , alpha (finance) , exponential type , mathematical analysis , physics , combinatorics , philosophy , computer science , ecology , linguistics , construct validity , statistics , quantum mechanics , biology , programming language , psychometrics

Using a previously obtained structure theorem of Gelfand-Shilov spaces $\Sigma _{\alpha }^{\beta }$ of Beurling type of ultradistributions, we prove that these ultradistributions can be represented as an initial values of solutions of the heat equation by describing the action of the Gauss-Weierstrass semigroup on the dual space $(\Sigma _{\alpha }^{\beta})^{\prime }.$

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