The Reduction of Two Dimensional Integrals into a Finite Number of One-Dimensional Integrals (Short Communication)
The Reduction of Two Dimensional Integrals into a Finite Number of One Dimensional Integrals
Trace de Cauchy pour certaines founctions localement intégrables sur un ouvert borné de C.
Ueber Auflösung von Gleichungen und Summation von Reihen durch bestimmte Integrale.
Ueber ein Integral mit doppeltem Umlauf
Ueber ein Princip zur Darstellung des Verhaltens mehrdeutiger Functionen einer complexen Variablen, insbesondere der Integrale linearer Differentialgleichungen in der Umgebung singulärer Punkte.
Ueber eine Classe von Integralen mit geschlossener Integrationscurve
Ueber eine Klasse von Functionen einer complexen Variablen, welche die Form bestimmter Integrale haben.
Uniqueness theorems for Cauchy integrals
Universally optimal approximation of functionals
A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.
Weighted inequalities and vector-valued Calderón-Zygmund operators on non-homogeneous spaces.
Recently, F. Nazarov, S. Treil and A. Volberg (and independently X. Tolsa) have extended the classical theory of Calderón-Zygmund operators to the context of a non-homogeneous space (X,d,μ) where, in particular, the measure μ may be non-doubling. In the present work we study weighted inequalities for these operators. Specifically, for 1 < p < ∞, we identify sufficient conditions for the weight on one side, which guarantee the existence of another weight in the other side, so that the...
Zero distributions via orthogonality
We develop a new method to prove asymptotic zero distribution for different kinds of orthogonal polynomials. The method directly uses the orthogonality relations. We illustrate the procedure in four cases: classical orthogonality, non-Hermitian orthogonality, orthogonality in rational approximation of Markov functions and its non- Hermitian variant.
Аналитическое продолжение с континуума на его окрестность
Гладкость интегралов типа Коши
Граничные свойства аналитических функций, представимых интегралами типа Коши
Достаточные условия многолистности интегральных представлений
Задача Келдыша-Седова для многосвязных круговых областей.
Задача Шварца для многосвязных круговых областей
Интегралы типа Коши для полианалитических функций
Интегральное представление для суммы степенного ряда и полиномиальные разложения.