Sampling and interpolation for the discrete Hilbert and Kak–Hilbert transforms
DOI10.4153/s0008439522000169arXiv2111.01826OpenAlexW3208538295MaRDI QIDQ6041316
Publication date: 26 May 2023
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.01826
samplingdiscrete Hilbert transformone-parameter groups of operatorsKak-Hilbert transformRiesz-Boas interpolation
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Groups and semigroups of linear operators (47D03) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Sampling theory in information and communication theory (94A20)
Cites Work
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- An Elementary Proof of the Square Summability of the Discrete Hilbert Transform
- Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds
- The Derivative of a Trigonometric Integral
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