Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation
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Publication:1710661
DOI10.1007/s00041-018-9592-8zbMath1421.42003OpenAlexW2785224601MaRDI QIDQ1710661
Fabrizio Colombo, Alain Yger, Daniele C. Struppa
Publication date: 23 January 2019
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-018-9592-8
Linear operators on function spaces (general) (47B38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (12)
Superoscillating sequences and supershifts for families of generalized functions ⋮ Continuity of some operators arising in the theory of superoscillations ⋮ Schrödinger evolution of superoscillations under different potentials ⋮ Evolution of superoscillations for spinning particles ⋮ Persistence of superoscillations under the Schrödinger equation ⋮ Superoscillations and analytic extension in Schur analysis ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ The Mathematics of Superoscillations ⋮ Superoscillating sequences and hyperfunctions
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