A General Approach to the Notion of Silov Boundary.
A general approximation theorem of Whitney type.
We show that Whitney?s approximation theorem holds in a general setting including spaces of (ultra)differentiable functions and ultradistributions. This is used to obtain real analytic modifications for differentiable functions including optimal estimates. Finally, a surjectivity criterion for continuous linear operators between Fréchet sheaves is deduced, which can be applied to the boundary value problem for holomorphic functions and to convolution operators in spaces of ultradifferentiable functions...
A General Character Formula for Irreducible Projections on L2 of a Nilmanifold.
A general continuity principle
A general description of the Bergman projection
A general differentiation theorem for multiparameter additive processes
Let be a Banach lattice of equivalence classes of real-valued measurable functions on a σ-finite measure space and be a strongly continuous locally bounded d-dimensional semigroup of positive linear operators on L. Under suitable conditions on the Banach lattice L we prove a general differentiation theorem for locally bounded d-dimensional processes in L which are additive with respect to the semigroup T.
A general differentiation theorem for superadditive processes
Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T=: t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.
A general integral [Book]
A general result on the equivalence between derivation of integrals and weak inequalities for the Hardy-Littlewood maximal operator
A general separation theorem for mappings, saddle-points duality and conjugate functions
A general topology approach to the study of differentiability of convex functions in Banach spaces
A generalisation of a theorem of Koldunov with an elementary proof
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A generalization of a theorem of H. Brezis & F. E. Browder and applications to some unilateral problems
A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions
A generalization of component categories
A generalization of Dirichlet's unit theorem
We generalize Dirichlet's S-unit theorem from the usual group of S-units of a number field K to the infinite rank group of all algebraic numbers having nontrivial valuations only on places lying over S. Specifically, we demonstrate that the group of algebraic S-units modulo torsion is a ℚ-vector space which, when normed by the Weil height, spans a hyperplane determined by the product formula, and that the elements of this vector space which are linearly independent over ℚ retain their linear independence...
A generalization of Dragilev's theorem.
A generalization of Dubovitskij-Miliutin theorem
A Generalization of Echelon Spaces.
A generalization of entropy equation: homogeneous entropies