대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권4호
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  • Pages.875-883
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  • 2017
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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APPLICATIONS ON THE BESSEL-STRUVE-TYPE FOCK SPACE

  • Soltani, Fethi (Department of Mathematics Faculty of Science Jazan University)
  • 투고 : 2016.10.01
  • 심사 : 2017.06.28
  • 발행 : 2017.10.31
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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.

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참고문헌

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