Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Function spaces of polyanalytic functions
Publication Date:	2013-08-09
Authors:	- Luís Daniel Abreu - Hans G. Feichtinger
Abstract:	This is both an introduction and a review of some of the recent developments on Fock and Bergman spaces of polyanalytic functions. The study of polyanalytic functions is a classic topic in complex analysis. However, thanks to the interdisciplinar transference of knowledge promoted within the activities of HCAA network, it has beneted from a cross-fertilization with ideas from signal analysis, quantum physics and random matrices. It is the main purpose of this survey to provide a brief introduction to those ideas and to describe some of the results of the mentioned cross-fertilization. We will put some emphasis on the connections to Gabor and wavelet analysis and in the applications of coorbit and localization theory. The departure point of our investigations is a thought experiment related to a classical problem in the Theory of Signals, the one of multiplexing: sending several signals simultaneously using a single channel.
Institution:	DMUC 13-33
Online version:	http://www.mat.uc.pt...prints/eng_2013.html
Download:	Not available