AbstractFor every measure μ, the integral I:f↦∫fdμ is a linear functional on the set of real measurable functions. By the Daniell-Stone theorem, for every abstract integral Λ:F→R on a stone vector lattice F of real functions f:Ω→R there is a measure μ such that ∫fdμ=Λ(f) for all f∈F. In this paper we prove a computable version of this theorem
AbstractThe goal of this article is to introduce an analogue of the Paley–Wiener space of bandlimite...
For a continuous and positive function \(w(\lambda)\), \(\lambda>0\) and a positive measure \(\mu...
summary:In this paper the index transformation $$ F(\tau ) = \int_{0}^{\infty} f(t) {}_{2}F_{1}( \mu...
AbstractIn this paper we define multiresolution analysis (MRA) in function space Lp(Ω,μ) for p>1, wh...
AbstractLet L(X,Y) stand for the space of all bounded linear operators between real Banach spaces X ...
AbstractLet K be a generalized Calderón–Zygmund kernel defined on Rn×(Rn∖{0}). The singular integral...
In this paper, several direct and inverse theorems are proved concerningthe approximation of one-var...
AbstractThis paper concerns the complex interpolation of Besov spaces and Triebel–Lizorkin spaces wi...
AbstractWe investigate the quantities eσ(f) of the best approximation for integrals of functions fro...
We obtain asymptotic equalities for upper bounds of the deviations of operators generated by λ- meth...
AbstractLet Γ be a Dini-smooth curve in the complex plane, and let G:=IntΓ. We prove some direct and...
We establish a generalization of the Widder–Arendt theorem from Laplace transform theory. Given a Ba...
The goal of this article is to clarify the relationship between Riemann’s improper integrals and Leb...
AbstractThe ψ-operator for (ϕ,Γ)-modules plays an important role in the study of Iwasawa theory via ...
AbstractIn this note we develop a notion of integration with respect to a bimeasure μ that allows in...
AbstractThe goal of this article is to introduce an analogue of the Paley–Wiener space of bandlimite...
For a continuous and positive function \(w(\lambda)\), \(\lambda>0\) and a positive measure \(\mu...
summary:In this paper the index transformation $$ F(\tau ) = \int_{0}^{\infty} f(t) {}_{2}F_{1}( \mu...
AbstractIn this paper we define multiresolution analysis (MRA) in function space Lp(Ω,μ) for p>1, wh...
AbstractLet L(X,Y) stand for the space of all bounded linear operators between real Banach spaces X ...
AbstractLet K be a generalized Calderón–Zygmund kernel defined on Rn×(Rn∖{0}). The singular integral...
In this paper, several direct and inverse theorems are proved concerningthe approximation of one-var...
AbstractThis paper concerns the complex interpolation of Besov spaces and Triebel–Lizorkin spaces wi...
AbstractWe investigate the quantities eσ(f) of the best approximation for integrals of functions fro...
We obtain asymptotic equalities for upper bounds of the deviations of operators generated by λ- meth...
AbstractLet Γ be a Dini-smooth curve in the complex plane, and let G:=IntΓ. We prove some direct and...
We establish a generalization of the Widder–Arendt theorem from Laplace transform theory. Given a Ba...
The goal of this article is to clarify the relationship between Riemann’s improper integrals and Leb...
AbstractThe ψ-operator for (ϕ,Γ)-modules plays an important role in the study of Iwasawa theory via ...
AbstractIn this note we develop a notion of integration with respect to a bimeasure μ that allows in...
AbstractThe goal of this article is to introduce an analogue of the Paley–Wiener space of bandlimite...
For a continuous and positive function \(w(\lambda)\), \(\lambda>0\) and a positive measure \(\mu...
summary:In this paper the index transformation $$ F(\tau ) = \int_{0}^{\infty} f(t) {}_{2}F_{1}( \mu...
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