Linear Independence of the Translates of an Exponential Box Spline
نویسندگان
چکیده
منابع مشابه
Linear Independence of Time-frequency Translates
Abstract. The refinement equation φ(t) = ∑N2 k=N1 ck φ(2t − k) plays a key role in wavelet theory and in subdivision schemes in approximation theory. Viewed as an expression of linear dependence among the time-scale translates |a|1/2φ(at − b) of φ ∈ L2(R), it is natural to ask if there exist similar dependencies among the time-frequency translates e2πibtf(t + a) of f ∈ L2(R). In other words, wh...
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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...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1992
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072814