Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations.
Existence of large ε-Kronecker and FZI₀(U) sets in discrete abelian groups
Let G be a compact abelian group with dual group Γ and let ε > 0. A set E ⊂ Γ is a “weak ε-Kronecker set” if for every φ:E → there exists x in the dual of Γ such that |φ(γ)- γ(x)| ≤ ε for all γ ∈ E. When ε < √2, every bounded function on E is known to be the restriction of a Fourier-Stieltjes transform of a discrete measure. (Such sets are called I₀.) We show that for every infinite set E there exists a weak 1-Kronecker subset F, of the same cardinality as E, provided there are not “too many”...
Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.
Expansions for Gaussian processes and Parseval frames.
Experimental approaches to Kuttner's problem.
Explicit bounds of complex exponential frames.
Exponential approximation on the real line
Exponential integrability of certain singular integral transforms
Exponential Riordan arrays and permutation enumeration.
Exponential Sums and Nonlinear Schrödinger Equations.
Exponential sums with coefficients or and concentrated norms
A sum of exponentials of the form , where the are distinct integers is called an idempotent trigonometric polynomial (because the convolution of with itself is ) or, simply, an idempotent. We show that for every and every set of the torus with there are idempotents concentrated on in the sense. More precisely, for each there is an explicitly calculated constant so that for each with and one can find an idempotent such that the ratio is greater than . This is in fact...
Exponentially decaying wavelets with uncertainty constants uniformly bounded with respect to the smoothness parameter.
Extension de fonctions de type positif et entropie associée. Cas multidimensionnel
Extension of a Theorem of Fejér to Double Fourier-Stieltjes Series.
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.
Extension sets for real analytic functions and applications to Radon transforms.
Extensions of a Fourier multiplier theorem of Paley, II
Extensions of Fatou Theorems in Products of Upper Half-Spaces.
Extensions of Hardy inequality.
Extensions of Rubio de Francia's extrapolation theorem.
One of the main results in modern harmonic analysis is the extrapolation theorem of J. L. Rubio de Francia for Ap weights. In this paper we discuss some recent extensions of this result. We present a new approach that, among other things, allows us to obtain estimates in rearrangement-invariant Banach function spaces as well as weighted modular inequalities. We also extend this extrapolation technique to the context of A∞ weights. We apply the obtained results to the dyadic square function. Fractional...