Convolution of vector-valued distributions: A survey and comparison

Christian Bargetz, and Norbert Ortner. Convolution of vector-valued distributions: A survey and comparison. 2013. <http://eudml.org/doc/285964>.

@book{ChristianBargetz2013,
abstract = {We overview the literature concerning bilinear operations on vector-valued distributions in general, and more specifically the convolution of vector-valued functions or distributions. We compare and evaluate the different approaches to this problem of L. Schwartz on the one hand and of Y. Hirata and R. Shirarishi on the other. Moreover we discuss applications of the general existence and uniqueness results to different branches of mathematical analysis like partial differential equations or harmonic analysis.},
author = {Christian Bargetz, Norbert Ortner},
keywords = {vector-valued distributions; convolutions; topological tensor products; bilinear mappings},
language = {eng},
title = {Convolution of vector-valued distributions: A survey and comparison},
url = {http://eudml.org/doc/285964},
year = {2013},
}

TY - BOOK
AU - Christian Bargetz
AU - Norbert Ortner
TI - Convolution of vector-valued distributions: A survey and comparison
PY - 2013
AB - We overview the literature concerning bilinear operations on vector-valued distributions in general, and more specifically the convolution of vector-valued functions or distributions. We compare and evaluate the different approaches to this problem of L. Schwartz on the one hand and of Y. Hirata and R. Shirarishi on the other. Moreover we discuss applications of the general existence and uniqueness results to different branches of mathematical analysis like partial differential equations or harmonic analysis.
LA - eng
KW - vector-valued distributions; convolutions; topological tensor products; bilinear mappings
UR - http://eudml.org/doc/285964
ER -