An embedding of Schwartz distributions in the algebra of asymptotic functions.

Oberguggenberger, Michael, and Todorov, Todor. "An embedding of Schwartz distributions in the algebra of asymptotic functions.." International Journal of Mathematics and Mathematical Sciences 21.3 (1998): 417-428. <http://eudml.org/doc/48172>.

@article{Oberguggenberger1998,
author = {Oberguggenberger, Michael, Todorov, Todor},
journal = {International Journal of Mathematics and Mathematical Sciences},
keywords = {nonlinear theory of generalized functions; asymptotic expansion; nonstandard analysis; nonstandard asymptotic analysis; asymptotic function; multiplication of Schwartz distributions; embedding the space of distributions into a differential algebra of generalized functions; Colombeau's algebras of new generalized functions},
language = {eng},
number = {3},
pages = {417-428},
publisher = {Hindawi Publishing Corporation, New York},
title = {An embedding of Schwartz distributions in the algebra of asymptotic functions.},
url = {http://eudml.org/doc/48172},
volume = {21},
year = {1998},
}

TY - JOUR
AU - Oberguggenberger, Michael
AU - Todorov, Todor
TI - An embedding of Schwartz distributions in the algebra of asymptotic functions.
JO - International Journal of Mathematics and Mathematical Sciences
PY - 1998
PB - Hindawi Publishing Corporation, New York
VL - 21
IS - 3
SP - 417
EP - 428
LA - eng
KW - nonlinear theory of generalized functions; asymptotic expansion; nonstandard analysis; nonstandard asymptotic analysis; asymptotic function; multiplication of Schwartz distributions; embedding the space of distributions into a differential algebra of generalized functions; Colombeau's algebras of new generalized functions
UR - http://eudml.org/doc/48172
ER -