Paley-Wiener theorems for the Mellin transformation
Characterization of regular tempered distributions
On homogeneous rotation invariant distributions and the Laplace operator
Topological imbedding of Laplace distributions in Laplace hyperfunctions
CONTENTS Foreword..............................................................................................................................5 Introduction..........................................................................................................................6 1. Preliminaries....................................................................................................................7 1.1. Terminology and notation.............................................................................................7...
An invariance method for constructing fundamental solutions for
Fundamental solution of the operator for n>3
Fundamental solution for operators preserving a quadratic form
Between the Paley-Wiener theorem and the Bochner tube theorem
We present the classical Paley-Wiener-Schwartz theorem [1] on the Laplace transform of a compactly supported distribution in a new framework which arises naturally in the study of the Mellin transformation. In particular, sufficient conditions for a function to be the Mellin (Laplace) transform of a compactly supported distribution are given in the form resembling the Bochner tube theorem [2].
Characterization of Mellin distributions supported by certain noncompact sets
A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on . The proof is based on a parameter version of the Seeley extension theorem.
Bogdan Ziemian (1953-1997)
Page 1