منابع مشابه
The Haar Measure
In this section, we give a brief review of the measure theory which will be used in later sections. We use [R, Chapters 1 and 2] as our main resource. A σ-algebra on a set X is a collectionM of subsets of X such that ∅ ∈M, if S ∈M, then X \ S ∈ M, and if a countable collection S1, S2, . . . ∈ M, then ∪i=1Si ∈ M. That is, M is closed under complements and countable unions, and contains the empty...
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولA Property of the Haar Measure of Some Special LCA Groups
The Euclidean group (Rn,+) where (n?N, plays a key role in harmonic analysis. If we consider the Lebesgue measure ()nd?xR as the Haar measure of this group then 12(2)()nd?x=d?RR. In this article we look for LCA groups K, whose Haar measures have a similar property. In fact we will show that for some LCA groups K with the Haar measure K?, there exists a constant such that 0KC>()(2)KKK?A=C?A for ...
متن کاملA SHORT PROOF FOR THE EXISTENCE OF HAAR MEASURE ON COMMUTATIVE HYPERGROUPS
In this short note, we have given a short proof for the existence of the Haar measure on commutative locally compact hypergroups based on functional analysis methods by using Markov-Kakutani fixed point theorem.
متن کاملA Generalization of Bounded Haar Measure.
We wish to thank Karen Rutherford, Erna Rollefson, Charles Hill, and Douglas MacPherson for assistance in various phases of these experiments, and Julius Adler for the Lederberg mutants and helpful comments. The following abbreviations are used: Gal, galactose; Gal-1-P, a-D-galactose-1-phosphate; G-1-P, a-D-glucose-l-phosphate; G-6-P, glucose-6-phosphate; UDPGal, uridine diphosphogalactose; UDP...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1979
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-42-1-223-227