Cover Image

Fourier coefficients of continuous functions with sparse spectrum

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kulikov, Aleksei, Saucedo, Miquel, Tikhonov, Sergey
Format:	Preprint
Published:	2026
Subjects:	Classical Analysis and ODEs 42A16, 42A20 (Primary), 46E30 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Kahane-Katznelson-de Leeuw theorem and absolute convergence of Fourier series
by: Saucedo, Miquel, et al.
Published: (2025)

The Fourier transform is an extremizer of a class of bounded operators
by: Saucedo, Miquel, et al.
Published: (2025)

Heisenberg's inequality in $L^p$
by: Saucedo, Miquel, et al.
Published: (2026)

Poisson summation formula in weighted Lebesgue spaces
by: Saucedo, Miquel, et al.
Published: (2024)

The Fourier transform in variable exponent Lebesgue spaces
by: Kowacs, André Pedroso, et al.
Published: (2025)

Extremizers of a Fourier uncertainty principle related to averaging
by: Saucedo, Miquel, et al.
Published: (2025)

Necessary conditions for the boundedness of fractional operators on variable Lebesgue spaces
by: Cruz-Uribe, David, et al.
Published: (2024)

On the embedding between the variable Lebesgue space $L^{p(\cdot)}(Ω)$ and the Orlicz space $L(\log L)^α(Ω)$
by: Cruz-Uribe, David, et al.
Published: (2024)

Bernstein-Nikolskii Inequality: Optimality with Respect to the Smoothness Parameter
by: Ganzburg, Michael I, et al.
Published: (2024)

Subcritical Fourier uncertainty principles
by: Saucedo, Miquel, et al.
Published: (2024)

Completeness of sparse, almost integer and finite local complexity sequences of translates in $L^p(\mathbb{R})$
by: Lev, Nir, et al.
Published: (2025)

Monotone rearrangement does not increase generalized Campanato norm in VMO
by: Slavin, Leonid, et al.
Published: (2023)

Fourier transforms of bounded functions
by: Talvila, Erik
Published: (2026)

Fourier decay of absolutely and Hölder continuous functions with infinitely or finitely many oscillations
by: Nissilä, Juhani
Published: (2018)

Sparse domination implies vector-valued sparse domination
by: Lorist, Emiel, et al.
Published: (2020)

On $L_p$-integrability of functions with general monotone Fourier coefficients
by: Mukanov, Askhat, et al.
Published: (2025)

Matrix-Weighted Campanato Spaces: Duality and Calderón--Zygmund Operators
by: Chen, Yiqun, et al.
Published: (2025)

Bourgain-Morrey-Lorentz spaces and operators on them
by: Bai, Tengfei, et al.
Published: (2025)

Miscellaneous summation, integration, and transformation formulas
by: Nicholson, Martin
Published: (2024)

On Herz-Bochkarev limiting problem
by: Nursultanov, Erlan, et al.
Published: (2025)

Herz-Type Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
by: Wang, Aiting, et al.
Published: (2023)

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero
by: Babb, Ryan L. Acosta
Published: (2024)

Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
by: Chen, Yiqun, et al.
Published: (2026)

On the mixed Bourgain-Morrey spaces
by: Bai, Tengfei, et al.
Published: (2025)

Hardy and BMO spaces on Weyl chambers
by: Plewa, Paweł, et al.
Published: (2023)

Extrapolation in general quasi-Banach function spaces
by: Nieraeth, Zoe
Published: (2022)

The Fourier transform in Lebesgue spaces
by: Talvila, Erik
Published: (2023)

Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calderón--Zygmund Operators
by: Bu, Fan, et al.
Published: (2025)

Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
by: Brazitikos, Silouanos
Published: (2026)

Divergent Fourier Series with Respect to Biorthonormal Systems in Function Spaces Near $L^1$
by: Devdariani, Nikoloz
Published: (2026)

Generic measures with slowly decaying Fourier coefficients
by: Limani, Adem
Published: (2025)

A lattice approach to matrix weights
by: Nieraeth, Zoe
Published: (2024)

The Muckenhoupt condition
by: Nieraeth, Zoe
Published: (2024)

Extrapolation via Sawyer-type inequalities
by: Perdices, Eduard Roure
Published: (2024)

Sampling discretization in Orlicz spaces
by: Kosov, Egor, et al.
Published: (2024)

Characterization of eigenfunctions of Laplacian having exponential growth using Fourier multipliers
by: Paul, Basil, et al.
Published: (2026)

Extrapolation of compactness on Banach function spaces
by: Lorist, Emiel, et al.
Published: (2023)

Note on Fourier inequalities
by: Saucedo, Miquel, et al.
Published: (2024)

Difference and Wavelet Characterizations of Distances from Functions in Lipschitz Spaces to Their Subspaces
by: Dai, Feng, et al.
Published: (2025)

Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators
by: He, Ziyi, et al.
Published: (2026)