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Paley-Wiener properties for spaces of entire functions

Autor: Nabizadeh, E., Pfeuffer, C., Toft, J.

We deduce Paley-Wiener results in the Bargmann setting, which give characterisations of Pilipovi{\'c} spaces of low orders, extending the characterisation of a Gr{\"o}chenig test function space, deduced earlier by the third author.
Comment: 32 p

Externí odkaz: http://arxiv.org/abs/1806.10752

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Calculus for Fourier Integral Operators in generalized SG classes

Autor: Coriasco, S., Toft, J.

Publikováno v: Indian J. Pure Appl. Math. 47, 1 (2016), 125-166

We construct a calculus for generalized $\mathbf{SG}$ Fourier integral operators, extending known results to a broader class of symbols of $\mathbf{SG}$ type. In particular, we do not require that the phase functions are homogeneous. We also prove th

Externí odkaz: http://arxiv.org/abs/1412.8050

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Calculus, continuity and global wave-front properties for Fourier integral operators on $\mathbf{R}^d$

Autor: Coriasco, S., Johansson, K., Toft, J.

Publikováno v: J. Fourier Anal. Appl. 22, 2 (2016), 285-333

We illustrate the composition properties for an extended family of SG Fourier integral operators. We prove continuity results for operators in this class with respect to $L^2$ and weighted modulation spaces, and discuss continuity on $\mathscr{S}$, $

Externí odkaz: http://arxiv.org/abs/1307.6249

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