On “Tauberian theorems via block-dominated matrices”
نویسندگان
چکیده
منابع مشابه
Tauberian theorems for sum sets
Introduction. The sums formed from the set of non-negative powers of 2 are just the non-negative integers. It is easy to obtain “abelian” results to the effect that if a set is distributed like the powers of 2, then the sum set will be distributed like Dhe non-negative integers. We will be concerned here with converse, or “Tauberian” results. The main theme of this paper is t’he following quest...
متن کاملTauberian Theorems for Summability Transforms
we then write sn → s(A), where A is the A method of summability. Appropriate choices of A= [an,k] for n,k ≥ 0 give the classical methods [2]. In this paper, we present various summability analogs of the strong law of large numbers (SLLN) and their rates of convergence in an unified setting, beyond the class of random-walk methods. A convolution summability method introduced in the next section ...
متن کاملOn a Recursion Formula and on Some Tauberian Theorems
Erdos, F eller, and Pollard [2] pro ved that if the greatest common divi or of the k's with c,,>O is 1, then , Other theorems of the same type as theorem 1 were proved by T . Kaluza [4] . Assuming (1) , he showed for instance, that j (2) > 0, j (n l )j (n + 1) > p(n ) (n = 2,3, . .. ) imply that the c's are positive. Furthermore, he proved that j (I ),j(2), ... is a moment equence if, and only ...
متن کاملSome Tauberian Theorems Related to Operator Theory
This article is a survey of some Tauberian theorems obtained recently in connection with work on asymptotic behaviour of semigroups of operators on Banach spaces. The results in operator theory are described in [6], where we made little attempt to show the Tauberian aspects. At the end of this article, we will give a sketch of the connections between the results in this article and in [6]; for ...
متن کاملMultidimensional 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1984
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1984.110.119