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In this talk, we first recall classic projection theorem for closed convex subsets in a Hilbert space. Then we introduce two extensions of the projection theorem in the Banach space where one is estab...
Let $K/k$ be a finite Galois extension of number fields, and let $H_K$ be the Hilbert class field of $K$. We find a way to verify the nonsplitting of the short exact sequence
The design of rational cryptographic protocols is a recently created research area at the intersection of cryptography and game theory.At TCC’10, Fuchsbauer et al. introduced two equilibrium notions (...
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f ∈ IN(Dn) a...
In this paper, a q-version of the Paley Wiener theorem related to the q-3-cosine Fourier transform is given for 0 < q < 1.
In this paper we establish an analogue of Beurling-H¨ormander theorem for the spherical Fourier transform on noncompact real symmetric spaces of rank `. Next, we deduce the analogue of Hardy, Cowlin...
In this paper we prove an extension Hahn-Banach theorem in the context of generalized 2-normed spaces.
In this paper a main theorem on j N; pn jk summability factors, which generalizes a known result on j N; pn j summability factors, has been proved.

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