منابع مشابه
Translates of Exponential Box Splines and Their Related Spaces
Exponential box splines (SB-splines) are multivariate compactly supported functions on a regular mesh which are piecewise in a space St spanned by exponential polynomials. This space can be defined as the intersection of the kernels of certain partial differential operators with constant coefficients. The main part of this paper is devoted to algebraic analysis of the space H of all entire func...
متن کاملOn the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines
This paper is concerned with solving systems of partial difference equations which arise when studying linear dependence of translates of box splines.
متن کاملOrthogonal Frames of Translates
Two Bessel sequences are orthogonal if the composition of the synthesis operator of one sequence with the analysis operator of the other sequence is the 0 operator. We characterize when two Bessel sequences are orthogonal when the Bessel sequences have the form of translates of a finite number of functions in L(R). The characterizations are applied to Bessel sequences which have an affine struc...
متن کاملFrames of Translates
Frames consisting of translates of a single function play an important role in sampling theory as well as in wavelet theory and Gabor analysis. We give a necessary and sufficient condition for a subfamily of regularly spaced translates of a function φ ∈ L(R), (τnbφ)n∈Λ, Λ ⊂ Z, to form a frame (resp. Riesz basis) for its closed linear span. One consequence is that if Λ ⊂ N , then this family is ...
متن کاملDemocratic systems of translates
Democratic systems arise in the context of greedy approximations in Banach spaces. The greedy algorithm is an important method in numerical mathematics; for more details see the early work of V. N. Temlyakov [16], [17]. At the same time it also points to some interesting issues in functional analysis. In particular, we would like to emphasize the basic theorem of S. V. Konyagin and V. N. Temlya...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1983
ISSN: 0024-3795
DOI: 10.1016/0024-3795(83)80015-9