Spectral radius of the sampling operator with continuous symbol
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: Proceedings of the American Mathematical Society
سال: 2001
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-01-06057-9