A Primer on Coorbit Theory

A primer on Auction Theory

These notes constitute a primer on Auction Theory. They contain a brief description of some types of auctions, their main features and the strategies that the bidders can use in each case. These notes are heavily inspired (so to go very close to a plagiarism) by Krishna (2002). They also contain an Appendix where we present three non traditional auction types for the allocation of either a chor...

Coorbit Space Theory for Quasi-Banach Spaces

We generalize the classical coorbit space theory developed by Feichtinger and Gröchenig to quasi-Banach spaces. As a main result we provide atomic decompositions for coorbit spaces defined with respect to quasi-Banach spaces. These atomic decompositions are used to prove fast convergence rates of best n-term approximation schemes. We apply the abstract theory to time-frequency analysis of modul...

Frames and Coorbit Theory on Homogeneous Spaces with a Special Guidance on the Sphere

The topic of this article is a generalization of the theory of coorbit spaces and related frame constructions to Banach spaces of functions or distributions over domains and manifolds. As a special case one obtains modulation spaces and Gabor frames on spheres. Group theoretical considerations allow first to introduce generalized wavelet transforms. These are then used to define coorbit spaces ...

Chiral Perturbation Theory: a Primer

Recently methods have been developed which exploit the chiral symmetry of QCD in order to make rigorous contact with low energy particle physics phenomenology. In these lectures we present a pedagogical introduction to these techniques. Research supported in part by the National Science Foundation and by the Department of Energy

A primer in game theory