Convolution operators on Kucera-type spaces for the Hankel transformation

Jorge J. Betancor; Isabel Marrero

Displaying similar documents to “Convolution operators on Kucera-type spaces for the Hankel transformation”

Hankel convolution on distribution spaces with exponential growth

Jorge Betancor, Lourdes Rodríguez-Mesa (1996)

Studia Mathematica

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We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.

Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind.

Vu Kim Tuan, Saigo, Megumi (1995)

International Journal of Mathematics and Mathematical Sciences

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On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support

M. Belhadj, Jorge J. Betancor (2004)

Czechoslovak Mathematical Journal

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In this paper we study Beurling type distributions in the Hankel setting. We consider the space $ℰ {(w)}^{'}$ of Beurling type distributions on $(0, \infty)$ having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space $ℰ {(w)}^{'}$ . We also establish Paley Wiener type theorems for Hankel transformations of distributions in $ℰ {(w)}^{'}$ .

A generalized Hankel convolution on Zemanian spaces.

Betancor, Jorge J. (2000)

International Journal of Mathematics and Mathematical Sciences

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On Hankel transformable distribution spaces.

Betancor, Jorge J. (1999)

Publications de l'Institut Mathématique. Nouvelle Série

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Calderón's reproducing formula for Hankel convolution.

Pathak, R.S., Pandey, Gireesh (2006)

International Journal of Mathematics and Mathematical Sciences

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A convolution operation for a distributional Hankel transformation

J. Betancor, B. González (1995)

Studia Mathematica

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We investigate the Hankel transformation and the Hankel convolution on new spaces of generalized functions.

Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

Rajkovic, Predrag M., Barry, Paul, Savic, Natasa (2012)

Mathematica Balkanica New Series

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MSC 2010: 11B83, 05A19, 33C45 This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.

Characterization of Hankel transformable generalized functions.

Betancor, J.J. (1991)

International Journal of Mathematics and Mathematical Sciences

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Transplantation operators and Cesàro operators for the Hankel transform

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.