On superpositionally measurable multifunctions
On the functional equation
On the lower semicontinuous quasiconvex envelope for unbounded integrands (I)
Motivated by the study of multidimensional control problems of Dieudonné-Rashevsky type, we raise the question how to understand to notion of quasiconvexity for a continuous function f with a convex body K instead of the whole space as the range of definition. In the present paper, we trace the consequences of an infinite extension of f outside K, and thus study quasiconvex functions which are allowed to take the value +∞. As an appropriate envelope, we introduce and investigate the lower semicontinuous...
On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in
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
Pseudo-operations on finite intervals.
Quelques remarques sur la superposition F(x,ƒ(x))
Representation of functions of two variables as sums of rectangular functions, I
Some factorizations of matrix functions in several variables
We establish some criteria for a nonsingular square matrix depending on several parameters to be represented in the form of a matrix product of factors which depend on the single parameters.
Superpositions of transformations of bounded variation
Sur les fonctions de deux variables réelles
Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
We show that any uniformly continuous and convex compact valued Nemytskiĭ composition operator acting in the spaces of functions of bounded φ-variation in the sense of Riesz is generated by an affine function.
Why Means in Two Arguments are Special.
Достаточное условие представимости конструктивной функции в виде суммы двух суперпозиций абсолютно непрерывных функций
Замечание об интегральных представлениях дифференцируемых функций многих переменных.
Интегральные представления дифференцируемых функций в областях с негладкой границей
Необходимое и достаточное условие представимости конструктивных функций в виде суперпозиции абсолютно непрерывных функций
О конструктивном аналоге свойства
О пpeдcтавимocти paвномерно непрерывных конструктивных функций