On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation.
On an optimization problem arising from probability density estimation.
Consideramos una clase de problemas de optimización que surgen en estimaciones de la densidad de datos en dimensión elevada a partir de proyecciones en subespacios de dimensión más baja. Los criterios que se usan para la selección óptima del modelo son máxima entropía y máxima verosimilitud. En cada caso nuestro planteamiento requiere estimadores de la densidad univariados y a este respecto exploramos el uso de modelos mezcla de densidades gaussianas y de estimadores de Parzen para los datos proyectados....
On charged fields with group symmetry and degeneracies of Verlinde's matrix S*
On circle-Exponential Topological Algebras
On complete-cocomplete subspaces of an inner product space
In this note we give a measure-theoretic criterion for the completeness of an inner product space. We show that an inner product space is complete if and only if there exists a -additive state on , the orthomodular poset of complete-cocomplete subspaces of . We then consider the problem of whether every state on , the class of splitting subspaces of , can be extended to a Hilbertian state on ; we show that for the dense hyperplane (of a separable Hilbert space) constructed by P. Pták and...
On cyclic α(·)-monotone multifunctions
Let (X,d) be a metric space. Let Φ be a linear family of real-valued functions defined on X. Let be a maximal cyclic α(·)-monotone multifunction with non-empty values. We give a sufficient condition on α(·) and Φ for the following generalization of the Rockafellar theorem to hold. There is a function f on X, weakly Φ-convex with modulus α(·), such that Γ is the weak Φ-subdifferential of f with modulus α(·), .
On D.C. mappings and differences of convex operators
On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces
In Rolewicz (2002) it was proved that every strongly α(·)-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.
On generalized derivatives for vector optimization problems.
On necessary conditions of optimality in linear spaces
On nets of local algebras on , covariant with respect to the discrete Poincaré group ; causality and scattering theory
On Q-independence, limit theorems and q-Gaussian distribution
We formulate the notion of Q-independence which generalizes the classical independence of random variables and free independence introduced by Voiculescu. Here Q stands for a family of polynomials indexed by tiny partitions of finite sets. The analogs of the central limit theorem and Poisson limit theorem are proved. Moreover, it is shown that in some special cases this kind of independence leads to the q-probability theory of Bożejko and Speicher.
On Segal's postulates for general quantum mechanics
On Simons' version of Hahn-Banach-Lagrange theorem
In this paper we generalize in Theorem 12 some version of Hahn-Banach Theorem which was obtained by Simons. We also present short proofs of Mazur and Mazur-Orlicz Theorem (Theorems 2 and 3).
On some aspects of Jensen-Menger convexity.
The paper contains various results concerning the so-called homogeneity sets for convex functions defined on convex subsets of some special metric spaces named G-space (cf. H. Busemann [1]). A closed graph theorem for such type mappings is also presented.
On some quasimetrics and their applications.
On subdifferentials of convex functions
On the infrared problem in a model of scalar electrons and massless, scalar bosons
On the Leontief's problem in Banach lattices
On the measures of DiPerna and Majda
DiPerna and Majda generalized Young measures so that it is possible to describe “in the limit” oscillation as well as concentration effects of bounded sequences in -spaces. Here the complete description of all such measures is stated, showing that the “energy” put at “infinity” by concentration effects can be described in the limit basically by an arbitrary positive Radon measure. Moreover, it is shown that concentration effects are intimately related to rays (in a suitable locally convex geometry)...