ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 2
Abstract
In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with the Bessel operator and for constructing negative real powers of ultra-hyperbolic operators with the Bessel operator.
Authors and Affiliations
E. L. Shishkina
ON THE PROJECTIONS OF MUTUAL L^{q,t}-SPECTRUM
In this paper we are interested in the mutual L^{q,t}-spectrum relatively to two Borel probability measures having the same compact support and also in the study of their behavior under orthogonal projections.
СВОЙСТВО ВЫПУКЛОСТИ ВЗАИМНЫХ МУЛЬТИФРАКТАЛЬНЫХ РАЗМЕРНОСТЕЙ
В работе установлено свойство выпуклости взаимной муль- тифрактальной упаковочной размерности подмножества пере- сечения носителей вероятностых борелевских мер µ и ν. Также показано, что взаимная мультифрактальная хаусдо...
ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated...
РАЗЛОЖЕНИЕ ПО СОБСТВЕННЫМ ФУНКЦИЯМ ДЛЯ НЕКОТОРЫХ ФУНКЦИОНАЛЬНО-ДИФФЕРЕНЦИАЛЬНЫХ ОПЕРАТОРОВ
We prove the completness of the eigenfunctions of some boundary function-differental problems.
EXTENSION OF STARLIKE FUNCTIONS TO A FINITELY PUNCTURED PLANE
We consider a sequence of functions which are starlike in the unit disk and their logarithmic derivatives are meromorphic with a finite number of simple poles in any boundary domain. These poles are either boundary deter...