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...
Eigenvalues of random wreath products.
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.
Elemente der Theorie der Funktionen einer complexen veränderlichen Grösse [Book]
Elliptic Riesz operators on the weighted special atom spaces.
Endpoint estimates from restricted rearrangement inequalities.
Endpoint multiplier theorems of Marcinkiewicz type.
We establish sharp (H1,L1,q) and local (L logrL,L1,q) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H1 to L1,∞ and L log1/2L to L1,∞, and that these estimates are sharp.
Energy of measures on compact Riemannian manifolds
We investigate the energy of measures (both positive and signed) on compact Riemannian manifolds. A formula is given relating the energy integral of a positive measure with the projections of the measure onto the eigenspaces of the Laplacian. This formula is analogous to the classical formula comparing the energy of a measure in Euclidean space with a weighted L² norm of its Fourier transform. We show that the boundedness of a modified energy integral for signed measures gives bounds on the Hausdorff...
Ensembles boréliens d'unicité et d'unicité au sens large
Soit (resp. ) l’ensemble des compacts d’unicité (resp. d’unicité au sens large) du tore . On montre qu’un borélien de dont tout sous-compact est dans est nécessairement contenu dans une réunion dénombrable de compacts de , et on montre que cette propriété n’est plus vraie quand on remplace par .Comme conséquence on obtient qu’un borélien qui est d’unicité est nécessairement maigre. On en déduit aussi l’existence d’un compact d’unicité qui ne peut être recouvert par une suite de compacts...
Ensembles de fréquences et fonctions presque périodiques
Ensembles de non synthèse pour certains poids dissymétriques sur la droite
Ensembles de Sidon topologiques
On étudie les ensembles de Sidon d’un groupe abélien localement compact et métrisable . Après avoir démontré des résultats sur la réunion, l’élargissement et la stabilité de ces ensembles lacunaires, on détaille le résultat fondamental de ce travail : lorsque le dual de est connexe, toute partie compacte d’intérieur non vide de est associée à tout ensemble de Sidon de . Autrement dit, étant donné un compact d’intérieur non vide de , toute fonction bornée à valeurs complexes définie sur...
Entire functions and logarithmic sums over nonsymmetric sets of the real line.