Pointwise Fourier inversion of distributions on spheres
Francisco Javier González Vieli
Czechoslovak Mathematical Journal (2017)
- Volume: 67, Issue: 4, page 1059-1070
- ISSN: 0011-4642
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topGonzález Vieli, Francisco Javier. "Pointwise Fourier inversion of distributions on spheres." Czechoslovak Mathematical Journal 67.4 (2017): 1059-1070. <http://eudml.org/doc/294533>.
@article{GonzálezVieli2017,
abstract = {Given a distribution $T$ on the sphere we define, in analogy to the work of Łojasiewicz, the value of $T$ at a point $\xi $ of the sphere and we show that if $T$ has the value $\tau $ at $\xi $, then the Fourier-Laplace series of $T$ at $\xi $ is Abel-summable to $\tau $.},
author = {González Vieli, Francisco Javier},
journal = {Czechoslovak Mathematical Journal},
keywords = {distribution; sphere; Fourier-Laplace series; Abel summability},
language = {eng},
number = {4},
pages = {1059-1070},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pointwise Fourier inversion of distributions on spheres},
url = {http://eudml.org/doc/294533},
volume = {67},
year = {2017},
}
TY - JOUR
AU - González Vieli, Francisco Javier
TI - Pointwise Fourier inversion of distributions on spheres
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 4
SP - 1059
EP - 1070
AB - Given a distribution $T$ on the sphere we define, in analogy to the work of Łojasiewicz, the value of $T$ at a point $\xi $ of the sphere and we show that if $T$ has the value $\tau $ at $\xi $, then the Fourier-Laplace series of $T$ at $\xi $ is Abel-summable to $\tau $.
LA - eng
KW - distribution; sphere; Fourier-Laplace series; Abel summability
UR - http://eudml.org/doc/294533
ER -
References
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