We study the expansions of the elements in S(R-+(d)) and S'(R-+(d)) with respect to the Laguerre orthonormal basis, extending the result of M. Guillemot-Teissier in the one dimensional case. As a consequence, we obtain Kernel theorem for S(R-+(d)) and S'(R-+(d)) and an extension theorem of Whitney type for S(R-+(d)).
Кључне речи:
tempered distributions on R-+(d) / smooth extensions of smooth rapidly decreasing functions / kernel theorem for tempered distributions on R-+(d)
Извор:
Publications de l Institut Mathematique-Beograd, 2016, 99, 113, 59-65
Издавач:
Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
TY - JOUR
AU - Jakšić, Smiljana
AU - Prangoski, Bojan
PY - 2016
UR - https://omorika.sfb.bg.ac.rs/handle/123456789/779
AB - We study the expansions of the elements in S(R-+(d)) and S'(R-+(d)) with respect to the Laguerre orthonormal basis, extending the result of M. Guillemot-Teissier in the one dimensional case. As a consequence, we obtain Kernel theorem for S(R-+(d)) and S'(R-+(d)) and an extension theorem of Whitney type for S(R-+(d)).
PB - Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
T2 - Publications de l Institut Mathematique-Beograd
T1 - Extension theorem of whitney type for s (r + d ) by use of the kernel theorem
EP - 65
IS - 113
SP - 59
VL - 99
DO - 10.2298/PIM1613059J
UR - conv_1261
ER -
@article{
author = "Jakšić, Smiljana and Prangoski, Bojan",
year = "2016",
abstract = "We study the expansions of the elements in S(R-+(d)) and S'(R-+(d)) with respect to the Laguerre orthonormal basis, extending the result of M. Guillemot-Teissier in the one dimensional case. As a consequence, we obtain Kernel theorem for S(R-+(d)) and S'(R-+(d)) and an extension theorem of Whitney type for S(R-+(d)).",
publisher = "Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd",
journal = "Publications de l Institut Mathematique-Beograd",
title = "Extension theorem of whitney type for s (r + d ) by use of the kernel theorem",
pages = "65-59",
number = "113",
volume = "99",
doi = "10.2298/PIM1613059J",
url = "conv_1261"
}
Jakšić, S.,& Prangoski, B.. (2016). Extension theorem of whitney type for s (r + d ) by use of the kernel theorem. in Publications de l Institut Mathematique-Beograd
Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd., 99(113), 59-65.
https://doi.org/10.2298/PIM1613059J
conv_1261
Jakšić S, Prangoski B. Extension theorem of whitney type for s (r + d ) by use of the kernel theorem. in Publications de l Institut Mathematique-Beograd. 2016;99(113):59-65.
doi:10.2298/PIM1613059J
conv_1261 .
Jakšić, Smiljana, Prangoski, Bojan, "Extension theorem of whitney type for s (r + d ) by use of the kernel theorem" in Publications de l Institut Mathematique-Beograd, 99, no. 113 (2016):59-65,
https://doi.org/10.2298/PIM1613059J .,
conv_1261 .
