-orbit functions.
Effective oscillation theorems for a general class of real-valued remainder terms
Efficient computation of delay differential equations with highly oscillatory terms
This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...
Efficient computation of delay differential equations with highly oscillatory terms
This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...
Efficient computation of delay differential equations with highly oscillatory terms
This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...
Efficient Computation of Fourier Transforms on Compact Groups.
Eigenfunction Expansions and the Pinksy Phenomenon on Compact Manifolds.
Eigenfunction expansions of functions describing systems with symmetries.
Eigenfunctions of the Hardy-Littlewood maximal operator
We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy-Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L(p) spaces are not attained.
Eigenvalues of random wreath products.
Eigenvalues of the Hodge Laplacian on the Heisenberg group.
Ein ableitungsfreies Restglied für die trigonometrische Interpolation periodischer analytischer Funktionen.
Ein Äquikonvergenzsatz für eine Klasse von singulären Differentialoperatoren.
Ein Satz über analytische Forstetzung fastperiodischer Funktionen.
Eine axiomatische Charakterisierung der Hilbert-Transformation
Eine Erweiterung des Riemann-Lebesgue-Lemmas.
El retorno de Fourier.
Electrostatics and ghost poles in near best fixed pole rational interpolation.
Elementary operators on Banach algebras and Fourier transform
We consider elementary operators , acting on a unital Banach algebra, where and are separately commuting families of generalized scalar elements. We give an ascent estimate and a lower bound estimate for such an operator. Additionally, we give a weak variant of the Fuglede-Putnam theorem for an elementary operator with strongly commuting families and , i.e. (), where all and ( and ) commute. The main tool is an L¹ estimate of the Fourier transform of a certain class of functions...
Elementary proofs and the sums differences problem.
In this paper, we rule out the possibility that a certain method of proof in the sums differences conjecture can settle the Kakeya Conjecture.