Tauberian Theorems for Matrix Regular Variation.
نویسندگان
چکیده
Karamata's Tauberian theorem relates the asymptotics of a nondecreasing right-continuous function to that of its Laplace-Stieltjes transform, using regular variation. This paper establishes the analogous Tauberian theorem for matrix-valued functions. Some applications to time series analysis are indicated.
منابع مشابه
Wiener Tauberian Theorems for Vector - Valued Functions
Different versions of Wiener’s Tauberian theorem are discussed for the generalized group algebra LI(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued Fourier transforms. A weak form of Wiener’s Tauberian property is introduced and it is proved that LI(G,A) is weakly Tauberian if and only if A is....
متن کاملTAUBERIAN THEOREMS FOR THE EULER-NORLUND MEAN-CONVERGENT SEQUENCES OF FUZZY NUMBERS
Fuzzy set theory has entered into a large variety of disciplines of sciences,technology and humanities having established itself as an extremely versatileinterdisciplinary research area. Accordingly different notions of fuzzystructure have been developed such as fuzzy normed linear space, fuzzytopological vector space, fuzzy sequence space etc. While reviewing theliterature in fuzzy sequence sp...
متن کاملTauberian Theorems for Distributions in the Lizorkin Spaces
1.1. Tauberian type theorems. As is well known, in mathematical physics there are so-called Tauberian theorems which have many applications. Tauberian theorems are usually assumed to connect asymptotical behavior of a function (distribution) at zero with asymptotical behavior of its Fourier (Laplace or other integral transforms) at infinity. The inverse theorems are usually called “Abelian” [4]...
متن کاملMinicourse Introduction to Tauberian theory. A distributional approach
Tauberian theory provides striking methods to attack hard problems in analysis. The study of Tauberian type theorems has been historically stimulated by their potential applications in diverse fields of mathematics such as number theory, combinatorics, complex analysis, probability theory, and the analysis of differential operators [1, 3, 7, 8, 17, 19]. Even mathematical physics has pushed forw...
متن کاملTauberian Theorems for the Product of Borel and Hölder Summability Methods
In this paper we prove some Tauberian theorems for the product of Borel and Hölder summability methods which improve the classical Tauberian theorems for the Borel summability method. Mathematics Subject Classification 2010: 40E05, 40G05, 40G10.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Transactions of the American mathematical society
دوره 365 4 شماره
صفحات -
تاریخ انتشار 2013