The -binomial transforms and the Hankel transform.
Spivey, Michael Z., Steil, Laura L. (2006)
Journal of Integer Sequences [electronic only]
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Spivey, Michael Z., Steil, Laura L. (2006)
Journal of Integer Sequences [electronic only]
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Saifallah Ghobber (2018)
Czechoslovak Mathematical Journal
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The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.
Pan, Jiaqiang (2011)
Journal of Integer Sequences [electronic only]
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Betancor, J.J. (1991)
International Journal of Mathematics and Mathematical Sciences
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Krzysztof Stempak (1997)
Extracta Mathematicae
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Schmeelk, John (1994)
International Journal of Mathematics and Mathematical Sciences
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M. L. Maheshwari (1981)
Revista Matemática Hispanoamericana
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Postnikov, E.B. (2003)
Journal of Applied Mathematics
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M. L. Maheshwari (1969)
Matematički Vesnik
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Garcia Armas, Mario, Sethuraman, B.A. (2008)
Journal of Integer Sequences [electronic only]
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Yuichi Kanjin (2006)
Studia Mathematica
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The transplantation operators for the Hankel transform are considered. We prove that the transplantation operator maps an integrable function under certain conditions to an integrable function. As an application, we obtain the L¹-boundedness and H¹-boundedness of Cesàro operators for the Hankel transform.