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pro vyhledávání: '"HANS, G."'
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
Autor:
Kostogryz, Nadiia M., Shapiro, Alexander I., Witzke, Veronika, Cameron, Robert H., Gizon, Laurent, Krivova, Natalie A., Ludwig, Hans-G., Maxted, Pierre F. L., Seager, Sara, Solanki, Sami K., Valenti, Jeff
Stars appear darker at their limbs than at their disk centers because at the limb we are viewing the higher and cooler layers of stellar photospheres. Limb darkening derived from state-of-the-art stellar atmosphere models systematically fails to repr
Externí odkaz:
http://arxiv.org/abs/2403.00118