Sampling, Approximation, and Signal Analysis Harmonic Analysis in the Spirit of J. Rowland Higgins /
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters...
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| Altres autors: | , , , |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
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| Edició: | 1st ed. 2023. |
| Col·lecció: | Applied and Numerical Harmonic Analysis,
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| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-41130-4 |
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Taula de continguts:
- PART I: Classical Sampling - Classical and approximate exponential sampling formula: their interconnections in uniform and Mellin–Lebesgue norms (Schmeisser)
- Asymptotic theorems for Durrmeyer sampling operators with respect to the L-norm (Vinti)
- On generalized Shannon sampling operators in the cosine operator function framework (Kivinukk)
- Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis (Pesenson)
- The behavior of frequency band limited cardinal interpolants(Madych)
- The Balian-Low theorem for (Cq)-systems in shift-invariant spaces (owell)
- Whittaker - type derivative sampling and (p; q) - order weighted diffrential operator (Pogány)
- Shannon Sampling via Poisson, Cauchy, Jacobi and Levin (Casey)
- Part (II.) Theoretical Extensions - Schoenberg’s Theory of Totally Positive Functions and the Riemann Zeta Function (Gröchenig)
- Sampling via the Banach Gelfand Triple (Feichtinger)
- Part (III.) Frame Theory - A Survey of FusionFrames in Hilbert Spaces (Köhldorfer)
- Frames of iterations and vector-valued model spaces (Cabrelli)
- A survey on frame representations and operator orbits (Christensen)
- Three proofs of the Benedetto–Fickus theorem (Mixon)
- Clifford Prolate SpheroidalWavefunctions and Associated Shift Frames (Lakey)
- Part (IV.) Applications - Power Aware Analog To Digital Converters (Mulleti)
- Quaternionic coupled fractional Fourier transform on Boehmians (Zayed)
- Sampling : Theory and Applications – A History of the SampTA Meetings (Casey)
- Accelerartion Algorithms for Iterative Methods (Marvasti).