A Lusin Type Approximation of Bessel Potentials and Besov Functions by Smooth Functions.
A martingale approach to general Franklin systems
We prove unconditionality of general Franklin systems in , where X is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.
A matrix representation of the Bercovici-Pata bijection.
A maximal Abelian subalgebra of the Calkin algebra with the extension property.
A Maximal Algebra.
A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.
We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with weights via a smooth kernel which satisfies “minimal” moment and Tauberian conditions. The results are stated in terms of the mixed norm of a certain maximal function of a distribution in these weighted spaces.
A maximal subalgebra of R(X).
A mean ergodic theorem for a contraction semigroup in Lebesgue space
A measure induced metric topology for a Banach algebra
A Measure Space Without the Strong Lifting Property.
A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions
A method of approximation of spaces of generalized functions
A method of reduction of constraints
A metric space associated with a probability space.
A microlocal F. and M. Riesz theorem with applications.
Consider, by way of example, the following F. and M. Riesz theorem for Rn: Let μ be a finite measure on Rn whose Fourier transform μ* is supported in a closed convex cone which is proper, that is, which contains no entire line. Then μ is absolutely continuous (cf. Stein and Weiss [SW]). Here, as in the sequel, absolutely continuous means with respect to Lebesque measure. In this theorem one can replace the condition on the support of μ* by a similar condition on the wave front set WF(μ) of μ, while...
A minimal regular ring extension of C(X)
Let G(X) denote the smallest (von Neumann) regular ring of real-valued functions with domain X that contains C(X), the ring of continuous real-valued functions on a Tikhonov topological space (X,τ). We investigate when G(X) coincides with the ring of continuous real-valued functions on the space , where is the smallest Tikhonov topology on X for which and is von Neumann regular. The compact and metric spaces for which are characterized. Necessary, and different sufficient, conditions...
A mixed quantum-classical central limit theorem
A randomized q-central or q-commutative limit theorem on a family of bialgebras with one complex parameter is shown.
A model for some analytic Toeplitz operators
We present a change of variable method and use it to prove the equivalence to bundle shifts for certain analytic Toeplitz operators on the Banach spaces . In Section 2 we see this approach applied in the analysis of essential spectra. Some partial results were obtained in [9] in the Hilbert space case.
A model of atomic radiation
A Modeling Framework For Immune-related Diseases
About twenty five years ago the first discrete mathematical model of the immune system was proposed. It was very simple and stylized. Later, many other computational models have been proposed each one adding a certain level of sophistication and detail to the description of the system. One of these, the Celada-Seiden model published back in 1992, was already mature at its birth, setting apart from the topic-specific nature of the other models. This...