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pro vyhledávání: '"Feichtinger, Hans"'
Mathematical diffraction theory has been developed since about 1995. Hof's initial approach relied on tempered distributions in euclidean space. Nowadays often the Fourier theory by Argabright and Gil de Lamadrid is used, which applies to appropriate
Externí odkaz:
http://arxiv.org/abs/2411.14987
Autor:
Feichtinger, Hans G.
This note gives a summary of ideas concerning Applied Fourier Analysis, mostly formulated for those who have to give such courses to engineers or mathematicians interested in real life applications. It tries to answer recurrent questions arising regu
Externí odkaz:
http://arxiv.org/abs/2410.05872
Autor:
Feichtinger, Hans G
It is the purpose of this article to compare various concepts of ``function spaces''. In particular we compare notions of the concept of Banach Function Spaces (in the spirit of Luxemburg-Zaanen) to the setting of solid BF-spaces as it is widely used
Externí odkaz:
http://arxiv.org/abs/2410.04437
Autor:
Feichtinger, Hans G
This note aims at providing a guide towards the use of mild distributions, or more generally the concept of Banach Gelfand Triples in the context of Fourier Analysis, both in the classical and the application oriented sense.
Comment: 8 pages, Co
Comment: 8 pages, Co
Externí odkaz:
http://arxiv.org/abs/2410.04429
This paper discusses spectral synthesis for those modulation spaces $M^{p,q}_s({\mathbf R}^n)$ which form Banach algebras under pointwise multiplication. An important argument will be the ``ideal theory for Segal algebras'' by H. Reiter [15]. This pa
Externí odkaz:
http://arxiv.org/abs/2405.09060
In this paper, we give some properties of the modulation spaces $M_s^{p,1}({\mathbf R}^n)$ as commutative Banach algebras. In particular, we show the Wiener-L\'evy theorem for $M^{p,1}_s({\mathbf R}^n)$, and clarify the sets of spectral synthesis for
Externí odkaz:
http://arxiv.org/abs/2405.09058
For the Weyl-Heisenberg group, convolutions between functions and operators were defined by Werner as a part of a framework called quantum harmonic analysis. We show how recent results by Feichtinger can be used to extend this definition to include c
Externí odkaz:
http://arxiv.org/abs/2308.04985
Autor:
Balazs, Peter, Bastianoni, Federico, Cordero, Elena, Feichtinger, Hans G., Schweighofer, Nina
Publikováno v:
Journal of Mathematical Analysis and Applications Vol. 529 (1): 127579 (2024)
We study the connection between STFT multipliers $A^{g_1,g_2}_{1\otimes m}$ having windows $g_1,g_2$, symbols $a(x,\omega)=(1\otimes m)(x,\omega)=m(\omega)$, $(x,\omega)\in\mathbb{R}^{2d}$, and the Fourier multipliers $T_{m_2}$ with symbol $m_2$ on $
Externí odkaz:
http://arxiv.org/abs/2203.01142