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

Oberguggenberger, Michael; Todorov, Todor

International Journal of Mathematics and Mathematical Sciences (1998)

- Volume: 21, Issue: 3, page 417-428
- ISSN: 0161-1712

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topOberguggenberger, 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 -

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