Class-$$\mathcal{K}$$ Function Bounds for Positive Definite Functions on Compact Sets
نویسندگان
چکیده
منابع مشابه
Convolution Roots of Radial Positive Definite Functions with Compact Support
A classical theorem of Boas, Kac, and Krein states that a characteristic function φ with φ(x) = 0 for |x| ≥ τ admits a representation of the form φ(x) = ∫ u(y)u(y + x) dy, x ∈ R, where the convolution root u ∈ L2(R) is complex-valued with u(x) = 0 for |x| ≥ τ/2. The result can be expressed equivalently as a factorization theorem for entire functions of finite exponential type. This paper examin...
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ژورنال
عنوان ژورنال: International Journal of Control, Automation and Systems
سال: 2019
ISSN: 1598-6446,2005-4092
DOI: 10.1007/s12555-018-0782-6