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Some remarks on very-well-poised 8phi7 series
Very-well-poised basic hypergeometric series Askey-Wilson functions quadratic transformation formulas theta functions
2012/4/17
Nonpolynomial basic hypergeometric eigenfunctions of the second order Askey-Wilson difference operator are known to be expressible as very-well-poised 8phi7 series. In this paper we use this fact to d...
Remarks on Scattering Properties of the Solution to a Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
Nonlinear Schr¨odinger equation Global existence Scattering property
2010/11/29
In this paper, we consider the Cauchy problem of Nonlinear Schr¨odinger equationiut + u = λ1|u|p1u + λ2|u|p2u, t ∈ R, x ∈ RN u(0, x) = ϕ(x), x ∈ RN,where N ≥ 3, 0 < p1 < p2 < 4
N−2 , λ1 ...
Some remarks on big Cohen-Macaulay algebras via closure operations
Almost Cohen-Macaulay Big Cohen-Macaulay Closure operation Perfect al-gebra Value map
2010/12/1
In this note we present some remarks on big Cohen-Macaulay algebras.Our methods for doing this are inspired by the notion of dagger closure and by ideas of Northcott on dropping of the Noetherian assu...
Remarks About Some Weierstrass Type Results
Relation maximal element extremal value monotonically semicontinuous function compact metric space Brezis-Browder ordering principle countably ordered structure
2010/2/26
The Weierstrass type results of Gajek and Zagrodny [7] are not in general retainable in the precise context. Our first aim in this exposition is to show that a completion of the imposed conditions may...