The Hankel transform and some of its properties.
Layman, John W. (2001)
Journal of Integer Sequences [electronic only]
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Layman, John W. (2001)
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.
Krzysztof Stempak (1997)
Extracta Mathematicae
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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.
Ciaurri, Óscar, Varona, Juan L. (2002)
Journal of Inequalities and Applications [electronic only]
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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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Betancor, J.J. (1991)
International Journal of Mathematics and Mathematical Sciences
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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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Krzysztof Stempak, Walter Trebels (1997)
Studia Mathematica
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Connections between Hankel transforms of different order for -functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.
Maheshwari, M.L. (1974)
Portugaliae mathematica
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