Tauberian class estimates for vector-valued distributions
نویسندگان
چکیده
منابع مشابه
Multidimensional Tauberian Theorems for Vector-valued Distributions
We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M φ(x, y) = (f ∗ φy)(x), (x, y) ∈ R n × R+, with kernel φy(t) = yφ(t/y). We apply our results to the analysis of asymptotic stability for a class of Cauchy problems, Tauberian theorems for the Laplace transform, the comparison of quas...
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Let Á = (Á1; Á2; ¢ ¢ ¢ ; Ár) be a multivariate compactly supported vectorvalued distribution on R: Several di®erent dependences describe the various redundancies among the shifts of Á: They are ̄nitely linear independence, linear independence, and local linear independence. Many papers in literature studied them. In this paper we present a uniform treatment to them so that the necessary and su±c...
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ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2019
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm9061