Phase retrieval
type: Item
instance of: scholarly article
title: Phase retrieval
zbMATH Open document ID: 0577.42009
DOI: 10.1007/BF01212402
published in: Communications in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The problem of phase retrieval, which arises in all experimental uses of diffracted electromagnetic radiation for determining the intrinsic structure of a diffracting object, is a question of the behavior of Fourier transforms of distributions on groups. For finite distributions, the problem can be solved by methods of factorization in suitable rings of polynomials. For continuous distributions with compact support, methods of complex analysis are used to solve the problem. In this paper the author discusses these methods and gives examples.
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46F12
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 3923351
zbMATH Keywords: phase retrieval
zbMATH Keywords: diffracted electromagnetic radiation
zbMATH Keywords: Fourier transforms
zbMATH Keywords: continuous distributions with compact support
zbMATH Keywords: examples
author: J. Rosenblatt
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01212402
OpenAlex ID: W4242919676
description: scientific article; zbMATH DE number 3923351