MULTIPLICATION OF DISTRIBUTIONS IN ONE-DIMENSION - POSSIBLE APPROACHES AND APPLICATIONS TO DELTA-FUNCTION AND ITS DERIVATIVES

Authors
BAGARELLO F
Citation
F. Bagarello, MULTIPLICATION OF DISTRIBUTIONS IN ONE-DIMENSION - POSSIBLE APPROACHES AND APPLICATIONS TO DELTA-FUNCTION AND ITS DERIVATIVES, Journal of mathematical analysis and applications, 196(3), 1995, pp. 885-901
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
196
Issue
3
Year of publication
1995
Pages
885 - 901
Database
ISI
SICI code
0022-247X(1995)196:3<885:MODIO->2.0.ZU;2-9
Abstract
We introduce a new class of multiplications of distributions in one di mension merging two different regularizations of distributions. Some o f the features of these multiplications are discussed in detail. We us e our theory to study a number of examples, involving products between Dirac delta functions and its successive derivatives. (C) 1995 Academ ic Press, Inc.