Super-resolution reconstruction from truncated Fourier transform

DOI10.1007/978-3-031-41665-1_7MaRDI QIDQ6609907

Grigory V. Sabinin, R. G. Novikov, M. I. Isaev

Publication date: 24 September 2024

zbMATH Keywords

Radon transformprolate spheroidal wave functionssuper-resolutiondiffraction limittruncated Fourier transfom

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Inverse problems for PDEs (35R30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten.
• Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions
• On the conduction of heat in ellipsoids of revolution.

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