4 papers
Invariance of the Fredholm Index and Spectrum of Non-Smooth Pseudodifferential Operators
Helmut Abels, Christine Pfeuffer
In this paper we show the invariance of the Fredholm index of non-smooth pseudodifferential operators with coefficients in Hölder spaces. By means of this invariance we improve pre…
Fredholm Property of Non-Smooth Pseudodifferential Operators
Helmut Abels, Christine Pfeuffer
In this paper we prove sufficient conditions for the Fredholm property of a non-smooth pseudodifferential operator which symbol is in a Hölder space with respect to the spatial…
Paley-Wiener properties for spaces of entire functions
E. Nabizadeh, C. Pfeuffer, J. Toft
We deduce Paley-Wiener results in the Bargmann setting, which give characterisations of Pilipovi{ć} spaces of low orders, extending the characterisation of a Gr{ö}chenig test funct…
Compactness properties for modulation spaces
Christine Pfeuffer, Joachim Toft
We prove that if and are moderate weights and $\mascB$ is a suitable (quasi-)Banach function space, then a necessary and sufficient condition for the embedding $i\, :\,…