The aim of this paper is twofold. Firstly, to show the existence of topological isomorphism between the G-type spaces G(alpha)(alpha) (R-+(d)), alpha gt = 1 and the subspaces of the Gelfand-Shilov spaces S-alpha/2 (alpha/2) (Rd), alpha gt = 1, consisting of "even" functions. The same is done for their dual spaces. Secondly, to obtain two structural theorems for the dual spaces (G(alpha)(alpha)(R-+(d)))', alpha gt = 1.
Ključne reči:
Ultradistributions / Structural theorem / Multi-dimensional Hermite and Laguerre expansions of ultradistributions / Gelfand-Shilov spaces
Izvor:
Journal of Pseudo-Differential Operators and Applications, 2017, 8, 2, 275-296
TY - JOUR
AU - Jakšić, Smiljana
AU - Maksimović, Snjezana
AU - Pilipović, Stevan
AU - Prangoski, Bojan
PY - 2017
UR - https://omorika.sfb.bg.ac.rs/handle/123456789/814
AB - The aim of this paper is twofold. Firstly, to show the existence of topological isomorphism between the G-type spaces G(alpha)(alpha) (R-+(d)), alpha gt = 1 and the subspaces of the Gelfand-Shilov spaces S-alpha/2 (alpha/2) (Rd), alpha gt = 1, consisting of "even" functions. The same is done for their dual spaces. Secondly, to obtain two structural theorems for the dual spaces (G(alpha)(alpha)(R-+(d)))', alpha gt = 1.
T2 - Journal of Pseudo-Differential Operators and Applications
T1 - Relations between Hermite and Laguerre expansions of ultradistributions over R d and R + d
EP - 296
IS - 2
SP - 275
VL - 8
DO - 10.1007/s11868-016-0171-y
UR - conv_1268
ER -
@article{
author = "Jakšić, Smiljana and Maksimović, Snjezana and Pilipović, Stevan and Prangoski, Bojan",
year = "2017",
abstract = "The aim of this paper is twofold. Firstly, to show the existence of topological isomorphism between the G-type spaces G(alpha)(alpha) (R-+(d)), alpha gt = 1 and the subspaces of the Gelfand-Shilov spaces S-alpha/2 (alpha/2) (Rd), alpha gt = 1, consisting of "even" functions. The same is done for their dual spaces. Secondly, to obtain two structural theorems for the dual spaces (G(alpha)(alpha)(R-+(d)))', alpha gt = 1.",
journal = "Journal of Pseudo-Differential Operators and Applications",
title = "Relations between Hermite and Laguerre expansions of ultradistributions over R d and R + d",
pages = "296-275",
number = "2",
volume = "8",
doi = "10.1007/s11868-016-0171-y",
url = "conv_1268"
}
Jakšić, S., Maksimović, S., Pilipović, S.,& Prangoski, B.. (2017). Relations between Hermite and Laguerre expansions of ultradistributions over R d and R + d. in Journal of Pseudo-Differential Operators and Applications, 8(2), 275-296.
https://doi.org/10.1007/s11868-016-0171-y
conv_1268
Jakšić S, Maksimović S, Pilipović S, Prangoski B. Relations between Hermite and Laguerre expansions of ultradistributions over R d and R + d. in Journal of Pseudo-Differential Operators and Applications. 2017;8(2):275-296.
doi:10.1007/s11868-016-0171-y
conv_1268 .
Jakšić, Smiljana, Maksimović, Snjezana, Pilipović, Stevan, Prangoski, Bojan, "Relations between Hermite and Laguerre expansions of ultradistributions over R d and R + d" in Journal of Pseudo-Differential Operators and Applications, 8, no. 2 (2017):275-296,
https://doi.org/10.1007/s11868-016-0171-y .,
conv_1268 .
