Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces

Teofanov, Nenad

2018

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Teofanov, Nenad

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Abstract

We define and study wave-front sets for weighted Fourier-Lebesgue spaces when the weights are moderate with respect to associated functions for general sequences {Mp} which satisfy Komatsu’s conditions (M.1) − (M.3)′ . In particular, when {Mp} is the Gevrey sequence (Mp = p! s, s > 1) we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the invariance property related to the Fourier-Lebesgue type wave-front sets.

Keywords:

Wave-front sets / weighted Fourier-Lebesgue spaces / Gelfand-Shilov spaces / ultradistributions

Source:
Bulletin T.CLI de l’Académie serbe des sciences et des arts, 2018, 81-111

Publisher:

Beograd : Académie Serbe des sciences et des arts

Funding / projects:

Methods of Functional and Harmonic Analysis and PDE with Singularities (RS-174024)

Note:

Bulletin t. 151 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles, sciences mathematiques no 43

TY  - CONF
AU  - Teofanov, Nenad
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/9085
AB  - We define and study wave-front sets for weighted Fourier-Lebesgue spaces
when the weights are moderate with respect to associated functions for general sequences
{Mp} which satisfy Komatsu’s conditions (M.1) − (M.3)′
. In particular, when {Mp} is the
Gevrey sequence (Mp = p!
s, s > 1) we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the
invariance property related to the Fourier-Lebesgue type wave-front sets.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces
SP  - 81
EP  - 111
UR  - https://hdl.handle.net/21.15107/rcub_dais_9085
ER  -

@conference{
author = "Teofanov, Nenad",
year = "2018",
abstract = "We define and study wave-front sets for weighted Fourier-Lebesgue spaces
when the weights are moderate with respect to associated functions for general sequences
{Mp} which satisfy Komatsu’s conditions (M.1) − (M.3)′
. In particular, when {Mp} is the
Gevrey sequence (Mp = p!
s, s > 1) we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the
invariance property related to the Fourier-Lebesgue type wave-front sets.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces",
pages = "81-111",
url = "https://hdl.handle.net/21.15107/rcub_dais_9085"
}

Teofanov, N.. (2018). Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces. in Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 81-111.
https://hdl.handle.net/21.15107/rcub_dais_9085

Teofanov N. Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces. in Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:81-111.
https://hdl.handle.net/21.15107/rcub_dais_9085 .

Teofanov, Nenad, "Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces" in Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):81-111,
https://hdl.handle.net/21.15107/rcub_dais_9085 .