Laplace ultradistributions supported by a cone

Sławomir Michalik

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 229-241
  • ISSN: 0137-6934

Abstract

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The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.

How to cite

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Sławomir Michalik. "Laplace ultradistributions supported by a cone." Banach Center Publications 88.1 (2010): 229-241. <http://eudml.org/doc/282070>.

@article{SławomirMichalik2010,
abstract = {The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.},
author = {Sławomir Michalik},
journal = {Banach Center Publications},
keywords = {Laplace ultradistributions; Paley-Wiener-Schwartz type theorem},
language = {eng},
number = {1},
pages = {229-241},
title = {Laplace ultradistributions supported by a cone},
url = {http://eudml.org/doc/282070},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Sławomir Michalik
TI - Laplace ultradistributions supported by a cone
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 229
EP - 241
AB - The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.
LA - eng
KW - Laplace ultradistributions; Paley-Wiener-Schwartz type theorem
UR - http://eudml.org/doc/282070
ER -

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