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2014 | OriginalPaper | Buchkapitel

Function Spaces of Polyanalytic Functions

verfasst von : Luis Daniel Abreu, Hans G. Feichtinger

Erschienen in: Harmonic and Complex Analysis and its Applications

Verlag: Springer International Publishing

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Abstract

This article is meant as 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 interdisciplinary transference of knowledge promoted within the activities of HCAA network it has benefited from a cross-fertilization with ideas from signal analysis, quantum physics, and random matrices. We provide a brief introduction to those ideas and describe some of the results of the mentioned cross-fertilization. The departure point of our investigations is a thought experiment related to a classical problem of multiplexing of signals, in order words, how to send several signals simultaneously using a single channel.

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Nächstes Kapitel Classical and Stochastic Löwner–Kufarev Equations
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Metadaten
Titel
Function Spaces of Polyanalytic Functions
verfasst von
Luis Daniel Abreu
Hans G. Feichtinger
Copyright-Jahr
2014
Buch
Harmonic and Complex Analysis and its Applications

Print ISBN: 978-3-319-01805-8

Electronic ISBN: 978-3-319-01806-5

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-01806-5_1