𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Ranges of Mellin Multiplier Transformations

✍ Scribed by P.G. Rooney


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
220 KB
Volume
202
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


The ranges of Mellin multiplier transformations are considered when the multiplier has zeros. Applications are made to Bilateral Laplace and Fourier multiplier transformations.


πŸ“œ SIMILAR VOLUMES


On the Range of the Hankel and Extended
✍ Vu Kim Tuan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 263 KB

The range of the Hankel and extended Hankel transforms on some spaces of functions is described. The Paley᎐Wiener theorem for the Hankel transform is also obtained.

On models of irreducible p,q-representat
✍ Vivek Sahai; Sarasvati Yadav πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 138 KB πŸ‘ 1 views

## Abstract We construct new two variable models of the irreducible __p__, __q__‐representations of the four dimensional complex Lie algebra __gl__(2). These models are formed in terms of __p__, __q__ ‐derivative operator and dilation operators. The __p__, __q__‐Mellin integral transformation is de

The Growth of Derivatives of Multipliers
✍ D.J. Hallenbeck; K. Samotij πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 201 KB

In this paper we prove a number of sharp results on the permissible growth of derivatives of multipliers of fractional Cauchy transforms. For example, we prove that if f g M then there exists a positive constant C such that H M 1 1yr 1qlog 1r 1 y r Ε½ . Ε½ . y w . for r g 0, 1 . This result is proved

On the Range of the Index of Subfactors
✍ K.H. Rehren πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 416 KB

A simple numerical argument is given that the minimal (Jones) index of a subfactor \(N \subset M\) is strongly restricted if for \(L \subset N\) with the same index, the subfactor \(L \subset M\) contains a sector with index from the Jones series \(4 \cos ^{2} \pi / m\). E.g.. \(N \subset M\) might