Power-monotone sequences and Fourier series with positive coefficients.
Poznámka k článku V. Petrůva
Poznámka k jednomu problému K. Kartáka
Poznámka k první větě o střední hodnotě integrálního počtu
Poznámka k větě o substituci pro Riemannův integrál
Poznámka k větě o substituci pro Riemannův integrál
Poznámka ke Gauss-Ostrogradského formuli
Preparation theorems for matrix valued functions
We generalize the Malgrange preparation theorem to matrix valued functions satisfying the condition that vanishes to finite order at . Then we can factor near (0,0), where is inversible and is polynomial function of depending on . The preparation is (essentially) unique, up to functions vanishing to infinite order at , if we impose some additional conditions on . We also have a generalization of the division theorem, and analytic versions generalizing the Weierstrass preparation...
Preparation theorems for systems
Prevalence of backward stochastic differential equations with unique solution.
Prevalence of "nowhere analyticity"
This note brings a complement to the study of genericity of functions which are nowhere analytic mainly in a measure-theoretic sense. We extend this study to Gevrey classes of functions.
Prevalence of some known typical properties.
Příklad k jednomu obrácení Greenovy věty
Prime rational functions
Let f(x) be a complex rational function. We study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we also derive some conditions for the case of complex polynomials.
Přímý důkaz průkladného vzorce Lagrange-ova
Principe de la phase résonnante
On donne une variante du principe de la phase stationnaire, où l’intégrale est remplacée par une sommation sur le réseau cubique de maille égale à l’unité de phase.
Problème de Cauchy pour les équations différentielles et théories de l'intégration : influences mutuelles
Problèmes d'optimisation dépendant d'un paramètre à valeurs dans un espace de Banach
Problèmes variationnels et théorie du potentiel non linéaire
Problems and Theorems in the Theory of Multiplier Sequences
The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research. For the sake of clarity of exposition, we have grouped the problems in three subsections, although several of the problems are interrelated. For the reader’s convenience, we have included the pertinent definitions, cited references and related results, and in several instances, elucidated the problems by...