ON THE MEHLER-FOCK TRANSFORM IN L-P-SPACE

Authors
YAKUBOVICH SB SAIGO M
Citation
Sb. Yakubovich et M. Saigo, ON THE MEHLER-FOCK TRANSFORM IN L-P-SPACE, Mathematische Nachrichten, 185, 1997, pp. 261-277
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
185
Year of publication
1997
Pages
261 - 277
Database
ISI
SICI code
0025-584X(1997)185:<261:OTMTIL>2.0.ZU;2-G
Abstract
The present paper Is devoted to study the transform by the index of th e Legendre function which is known as the Mehler-Fock transform. Mappi ng properties of the Mehler-Fock transform in the weighted space L-p(w (t); IR+) are given as the inversion formula. The image space is also characterized.