# On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)

Mathematica Balkanica New Series (2013)

- Volume: 27, Issue: 1-2, page 21-33
- ISSN: 0205-3217

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topDamyanov, Blagovest P.. "On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)." Mathematica Balkanica New Series 27.1-2 (2013): 21-33. <http://eudml.org/doc/281454>.

@article{Damyanov2013,

abstract = {MSC 2010: 46F30, 46F10Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution.},

author = {Damyanov, Blagovest P.},

journal = {Mathematica Balkanica New Series},

keywords = {Colombeau algebra; singular products of distributions; Colombeau generalized functions; distribution spaces; singular products},

language = {eng},

number = {1-2},

pages = {21-33},

publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},

title = {On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)},

url = {http://eudml.org/doc/281454},

volume = {27},

year = {2013},

}

TY - JOUR

AU - Damyanov, Blagovest P.

TI - On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)

JO - Mathematica Balkanica New Series

PY - 2013

PB - Bulgarian Academy of Sciences - National Committee for Mathematics

VL - 27

IS - 1-2

SP - 21

EP - 33

AB - MSC 2010: 46F30, 46F10Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution.

LA - eng

KW - Colombeau algebra; singular products of distributions; Colombeau generalized functions; distribution spaces; singular products

UR - http://eudml.org/doc/281454

ER -

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