Weakly compact sets in
Weak-star continuous homomorphisms and a decomposition of orthogonal measures
We consider the set of complex-valued homomorphisms of a uniform algebra which are weak-star continuous with respect to a fixed measure . The -parts of are defined, and a decomposition theorem for measures in is obtained, in which constituent summands are mutually absolutely continuous with respect to representing measures. The set is studied for -invariant algebras on compact subsets of the complex plane and also for the infinite polydisc algebra.
Wiener amalgam spaces for the fundamental identity of Gabor analysis.
In the last decade it has become clear that one of the central themes within Gabor analysis (with respect to general time-frequency lattices) is a duality theory for Gabor frames, including the Wexler-Raz biorthogonality condition, the Ron-Shen duality principle and the Janssen representation of a Gabor frame operator. All these results are closely connected with the so-called Fundamental Identity of Gabor Analysis, which we derive from an application of Poisson's summation formula for the symplectic...
-convergence.
-convergence of nonlinear monotone operators in perforated domains with holes of small size
This paper is devoted to the homogenization beyond the periodic setting, of nonlinear monotone operators in a domain in with isolated holes of size ( a small parameter). The order of the size of the holes is twice that of the oscillations of the coefficients of the operator, so that the problem under consideration is a reiterated homogenization problem in perforated domains. The usual periodic perforation of the domain and the classical periodicity hypothesis on the coefficients of the operator...
Банаховы алгебры мер на прямой
Банаховы алгебры функций, обладающих одинаковым асимптотическим поведением на бесконечности.
Гармонический анализ функций, ограниченных на правой полуоси и растущих на левой
Глисоновские доли и теорема Вермера-Гофмана о характеризации C(X)
Доли Глисона и граница Шоке алгебры функцций на выпуклом компакте
Замечание о нелокальных алгебрах
Изоморфизм мультипликативных полугрупп колец непрерывных функций.
Инвариантные алгебры функций на группах Ли
Инвариантные пространства и алгебры функций на группе Гейзенберга.
Инвариантные пространства и следы голоморфных функций на остовах классических областей.
Как выглядит спектр эндоморфизма диск-алгебры?
Максимальность инвариантных алгебр функций
О долях Глисона алгебры R(X)
О замкнутости образа выпуклого множества
О максимальности алгебры функций, непрерывных на расширенной комплексной плоскости и аналитических в дополнении к вполне разрывному компакту