Almost-distribution cosine functions and integrated cosine functions

Pedro J. Miana

Studia Mathematica (2005)

  • Volume: 166, Issue: 2, page 171-180
  • ISSN: 0039-3223

Abstract

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We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.

How to cite

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Pedro J. Miana. "Almost-distribution cosine functions and integrated cosine functions." Studia Mathematica 166.2 (2005): 171-180. <http://eudml.org/doc/285054>.

@article{PedroJ2005,
abstract = {We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.},
author = {Pedro J. Miana},
journal = {Studia Mathematica},
keywords = {integrated cosine function; cosine transform; fractional calculus; cosine convolution product},
language = {eng},
number = {2},
pages = {171-180},
title = {Almost-distribution cosine functions and integrated cosine functions},
url = {http://eudml.org/doc/285054},
volume = {166},
year = {2005},
}

TY - JOUR
AU - Pedro J. Miana
TI - Almost-distribution cosine functions and integrated cosine functions
JO - Studia Mathematica
PY - 2005
VL - 166
IS - 2
SP - 171
EP - 180
AB - We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.
LA - eng
KW - integrated cosine function; cosine transform; fractional calculus; cosine convolution product
UR - http://eudml.org/doc/285054
ER -

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