Backward shift invariant subspaces with applications to band preserving and phase retrieval problems

DOI10.1002/mma.3591zbMath1381.47006OpenAlexW1481117592MaRDI QIDQ2804404

Tao Qian, Li-Hui Tan

Publication date: 29 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3591

zbMATH Keywords

Laplace transformphase retrievalbackward shift invariant subspaceband preserving

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Cyclic vectors, hypercyclic and chaotic operators (47A16) Hardy spaces (30H10)

Related Items (6)

The Fourier type expansions on tubes ⋮ Phase retrieval of real-valued functions in Sobolev space ⋮ Positive-instantaneous frequency and approximation ⋮ A Theory on Non-Constant Frequency Decompositions and Applications ⋮ Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis ⋮ A remark on Riesz bases of subspaces in Hardy spaces

Cites Work

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• Translation invariant spaces
• Phase retrieval techniques for radar ambiguity problems
• On embedding theorems for coinvariant subspaces of the shift operator. II.
• Differentiation in star-invariant subspaces. I: Boundedness and compactness
• Cyclic vectors and invariant subspaces of the backward shift operator
• Phase retrieval of \(H^2\)-functions
• On the Determination of the Phase of a Fourier Integral, II
• Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase
• Construction of time-limited functions with specified autocorrelation functions

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