Extremal problems in de Branges spaces: the case of truncated and odd functions

DOI10.1007/s00209-015-1411-1zbMath1323.41024arXiv1412.1050OpenAlexW2000336596MaRDI QIDQ2349883

Felipe Gonçalves, Emanuel Carneiro

Publication date: 18 June 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1050

zbMATH Keywords

Laplace transformextremal functionstrigonometric polynomialsreproducing kernelexponential typede Branges spacesmajorants

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Approximation by other special function classes (41A30) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (4)

Interpolation formulas with derivatives in de Branges spaces. II. ⋮ One-sided band-limited approximations of some radial functions ⋮ Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function ⋮ Interpolation formulas with derivatives in de Branges spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bandlimited approximations to the truncated Gaussian and applications
• Entire approximations for a class of truncated and odd functions
• Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
• Bounding \(\zeta(s)\) in the critical strip
• Extremal functions with vanishing condition
• Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials
• The Beurling-Selberg extremal functions for a ball in Euclidean space
• Some extremal functions in Fourier analysis. III
• Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis
• Extremal functions in de Branges and Euclidean spaces
• Entire approximations to the truncated powers
• On polynomials of best one sided approximation
• Fonctions entières et intégrales de Fourier multiples. II
• Quadrature and Extremal Bandlimited Functions
• Gaussian subordination for the Beurling-Selberg extremal problem
• Equivalence relations on separated nets arising from linear toral flows
• Some extremal functions in Fourier analysis. II
• Bounding |ζ(½+it )| on the Riemann hypothesis
• Entire majorants via Euler–Maclaurin summation
• Pair correlation of zeros of the zeta function.
• Some extremal functions in Fourier analysis
• A Class of Extremal Functions for the Fourier Transform
• Signal Recovery and the Large Sieve
• The analytic principle of the large sieve
• Some trigonometric extremal functions and the Erdos-Turan type inequalities
• On Reproducing Kernel Hilbert Spaces of Polynomials
• PÓLYA CLASS THEORY FOR HERMITE–BIEHLER FUNCTIONS OF FINITE ORDER
• A note on S(t ) and the zeros of the Riemann zeta-function
• OPUC on one foot
• A Miniature Theory in Illustration of the Convolution Transform

This page was built for publication: Extremal problems in de Branges spaces: the case of truncated and odd functions