5 papers
The Concept of Wiener Amalgam Spaces
Hans G. Feichtinger
This article concerns Wiener amalgam spaces % , recalls their basic properties and provides some hints about their usefulness in various branches of Harmonic Analysis. Despite the…
Twice Fourier transformable measures and diffraction theory
Hans G. Feichtinger, Christoph Richard, Christoph Schumacher +1
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 b…
Modelling Signals as Mild Distributions
Hans G. Feichtinger
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…
Upcoming Terminology in the World of Function Spaces
Hans G Feichtinger
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 Lu…
Fourier Analysis via Mild Distributions: Group Theoretical Aspects
Hans G Feichtinger
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 c…