On multiplication of generalized functions
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 43-48
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We construct a new space of generalized functions where correct operation of multiplication of generalized function on a regulated (in general discontinuous) function is defined. An ordinary differential equation with new generalized functions as coefficients is considered.
@article{IIMI_2006_2_a9,
author = {V. Ya. Derr and D. M. Kinzebulatov},
title = {On multiplication of generalized functions},
journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
pages = {43--48},
year = {2006},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIMI_2006_2_a9/}
}
TY - JOUR AU - V. Ya. Derr AU - D. M. Kinzebulatov TI - On multiplication of generalized functions JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta PY - 2006 SP - 43 EP - 48 IS - 2 UR - http://geodesic.mathdoc.fr/item/IIMI_2006_2_a9/ LA - ru ID - IIMI_2006_2_a9 ER -
V. Ya. Derr; D. M. Kinzebulatov. On multiplication of generalized functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 43-48. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a9/
[1] Derr V. Ya., Kinzebulatov D. M., “Differentsialnye uravneniya s obobschennymi funktsiyami, dopuskayuschimi umnozhenie na razryvnye funktsii”, Vestn. Udm. un-ta, 2005, no. 1, 35–58
[2] Derr V. Ya., Kinzebulatov D. M., “Alfa-integral tipa Stiltesa”, Vestn. Udm. un-ta, 2006, no. 1, 41–65