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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 (25)
참고문헌 신청
A. Abouelaz / 2015 / Harmonic analysis associated with the generalized Bessel-Struve operator on the real line / Int. Refereed J. Eng. Sci 4 : 72 ~ 84
A. Erdely / 1953 / Higher Transcendental Functions. vol 2 / McGraw-Hill
A. Gasmi / 2004 / The Bessel-Struve intertwining operator on C and mean-periodic functions / Int. J. Math. Math. Sci 2004 (57-60) : 3171 ~ 3185
A. Gasmi / 2005 / Fock spaces for the Bessel-Struve kernel / J. Anal. Appl 3 (2) : 91 ~ 106
C. A. Berger / 1986 / Toeplitz operators and quantum mechanics / J. Funct. Anal 68 (3) : 273 ~ 299
A. Erdely / 1953 / Higher Transcendental Functions. vol 2 / McGraw-Hill
A. Gasmi / 2004 / The Bessel-Struve intertwining operator on C and mean-periodic functions / Int. J. Math. Math. Sci 2004 (57-60) : 3171 ~ 3185
A. Gasmi / 2005 / Fock spaces for the Bessel-Struve kernel / J. Anal. Appl 3 (2) : 91 ~ 106
C. A. Berger / 1986 / Toeplitz operators and quantum mechanics / J. Funct. Anal 68 (3) : 273 ~ 299
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