Sequence spaces with exponent weights. Realizations of Colombeau type algebras

@book{AntoineDelcroix2007,
abstract = {We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces into corresponding algebras of generalized functions.},
author = {Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović, Vincent Valmorin},
keywords = {ultradistributions; hyperfunctions},
language = {eng},
title = {Sequence spaces with exponent weights. Realizations of Colombeau type algebras},
url = {http://eudml.org/doc/286021},
year = {2007},
}

TY - BOOK
AU - Antoine Delcroix
AU - Maximilian F. Hasler
AU - Stevan Pilipović
AU - Vincent Valmorin
TI - Sequence spaces with exponent weights. Realizations of Colombeau type algebras
PY - 2007
AB - We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces into corresponding algebras of generalized functions.
LA - eng
KW - ultradistributions; hyperfunctions
UR - http://eudml.org/doc/286021
ER -