The spectral radius of a multivariate sampling operator
نویسندگان
چکیده
منابع مشابه
Spectral Radius of the Sampling Operator with Continuous Symbol
Abstract. Let φ(θ) ∼ ∑∞ −∞ ake ikθ (where ak is the k-th Fourier coefficient of φ) be a bounded measurable function on the unit circle T. Consider the operator Sφ(m,n) on L2(T) whose matrix with respect to the standard basis { eikθ : k ∈ Z } is given by (ami−nj )i,j∈Z. In this paper, we give upper and lower bound estimation for r(Sφ(m,n)), the spectral radius of Sφ(m,n). Furthermore, we will sh...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2004
ISSN: 0024-3795
DOI: 10.1016/j.laa.2003.12.042