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Applications on the Bessel-Struve-type Fock space

Fethi Soltani
대한수학회 (The Korean Mathematical Society)|2017.10|대한수학회논문집 (Communications of the KMS)|제32권 제4호|pp. 875-883

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참고문헌

키워드

Bessel-Struve-type Fock spaceHeisenberg-type uncertainty principleextremal functions
주제분류수학

초록

In this work, we establish Heisenberg-type uncertainty principle for the Bessel-Struve Fock space $\mathbb{F}_{\nu}$ associated to the Airy operator $L_{\nu}$. Next, we give an application of the theory of extremal function and reproducing kernel of Hilbert space, to establish the extremal function associated to a bounded linear operator $T:\mathbb{F}_{\nu}\rightarrow H$, where $H$ be a Hilbert space. Furthermore, we come up with some results regarding the extremal functions, when $T$ are difference operators.

Abstract

In this work, we establish Heisenberg-type uncertainty principle for the Bessel-Struve Fock space $\mathbb{F}_{\nu}$ associated to the Airy operator $L_{\nu}$. Next, we give an application of the theory of extremal function and reproducing kernel of Hilbert space, to establish the extremal function associated to a bounded linear operator $T:\mathbb{F}_{\nu}\rightarrow H$, where $H$ be a Hilbert space. Furthermore, we come up with some results regarding the extremal functions, when $T$ are difference operators.

참고문헌 (25)

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