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Let $T f (x) = p . v . ʃ_{ℝ ¹} e^{i P (x - y)} f (y) / (x - y) d y$ , where P is a real polynomial on ℝ. It is proved that T is bounded on the weighted H¹(wdx) space with w ∈ A₁.

Partial inner product spaces of entire functions

J.-P. Antoine, M. Vause (1981)

Annales de l'I.H.P. Physique théorique

Periodic Boehmians.

Nemzer, Dennis (1989)

International Journal of Mathematics and Mathematical Sciences

Periodic $L i p^{α}$ functions with $L i p^{β}$ difference functions

Tamás Keleti (1998)

Colloquium Mathematicae

Permitted trigonometric thin sets and infinite combinatorics

Miroslav Repický (2001)

Commentationes Mathematicae Universitatis Carolinae

We investigate properties of permitted trigonometric thin sets and construct uncountable permitted sets under some set-theoretical assumptions.

Perron-Frobenius operators and the Klein-Gordon equation

Francisco Canto-Martín, Håkan Hedenmalm, Alfonso Montes-Rodríguez (2014)

Journal of the European Mathematical Society

For a smooth curve $Γ$ and a set $Λ$ in the plane $ℝ^{2}$ , let $A C (Γ; Λ)$ be the space of finite Borel measures in the plane supported on $Γ$ , absolutely continuous with respect to the arc length and whose Fourier transform vanishes on $Λ$ . Following [12], we say that $(Γ, Λ)$ is a Heisenberg uniqueness pair if $A C (Γ; Λ) = {0}$ . In the context of a hyperbola $Γ$ , the study of Heisenberg uniqueness pairs is the same as looking for uniqueness sets $Λ$ of a collection of solutions to the Klein-Gordon equation. In this work, we mainly address the...

We consider the class GM(₂β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.

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O-Regularly Varying Convergence Moduli of Fourier and Fourier-Stieltjes Series.

Oscillations presque-périodiques forcées d'équations d'Euler-Lagrange

Oscillatory integrals and multiplier problem for the disc

Oscillatory integrals with polynomial phase.

Oscillatory singular integrals on weighted Hardy spaces

Partial inner product spaces of entire functions

Periodic Boehmians.

Periodic $L i p^{α}$ functions with $L i p^{β}$ difference functions

Permitted trigonometric thin sets and infinite combinatorics

Perron-Frobenius operators and the Klein-Gordon equation

Perturbations de suites presque-périodiques de nombres réels et mesures étranges sur la droite

Perturbations singulières et noyaux de Poisson

Plane waves, biregular functions and hypercomplex Fourier analysis

Pointwise ergodic theorems for arithmetic sets

Pointwise Fourier Inversion and Localization in ...

Pointwise strong approximation of almost periodic functions

Pointwise very strong approximation as a generalization of Fejér's summation theorem.

Polynomial approximation to integral transforms

Positive trigonometric sums and applications.

Positivity of the Cotes Numbers for some Jacobi Abscissas.

Currently displaying 781 – 800 of 1346