A generalized Hankel convolution on Zemanian spaces.

Betancor, Jorge J.

Displaying similar documents to “A generalized Hankel convolution on Zemanian spaces.”

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

M. Belhadj, Jorge J. Betancor (2004)

Czechoslovak Mathematical Journal

Similarity:

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 $ℰ {(w)}^{'}$ .

Convolution operators on Kucera-type spaces for the Hankel transformation

Jorge J. Betancor, Isabel Marrero (1997)

Czechoslovak Mathematical Journal

Similarity:

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

Similarity:

Hankel convolution on distribution spaces with exponential growth

Jorge Betancor, Lourdes Rodríguez-Mesa (1996)

Studia Mathematica

Similarity:

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

On Hankel transformable distribution spaces.

Betancor, Jorge J. (1999)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

Calderón's reproducing formula for Hankel convolution.

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

International Journal of Mathematics and Mathematical Sciences

Similarity:

A note on the convolution in the Mellin sense with generalized functions.

Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Similarity:

A convolution operation for a distributional Hankel transformation

J. Betancor, B. González (1995)

Studia Mathematica

Similarity:

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

Characterization of Hankel transformable generalized functions.

Betancor, J.J. (1991)

International Journal of Mathematics and Mathematical Sciences

Similarity:

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

Similarity:

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.