Results 71 to 80 of about 6,267 (199)
A functional analysis proof of the existence of Haar measure on locally compact abelian groups [PDF]
, 1992 A simple proof of the existence of Haar measure on locally compact abelian groups is given. The proof uses the Markov-Kakutani fixed-point theorem.
Alexander J. Izzo
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Compact Independent Sets and Haar Measure [PDF]
Proceedings of the American Mathematical Society, 1972 This is proved: Let H be a closed nondiscrete sub- group of an LCA group G, x E G, and Ec Ga a-compact independ- ent subset of G; then Hn(x+G,E) has zero H-Haar measure. This generalizes a result in Rudin, Foiurier analysis on groups; the proof here is quite different from that given by Rudin. THEOREM 1.
openaire +2 more sources
Maximum Entropy on Compact Groups
Entropy, 2009 In a compact group the Haar probability measure plays the role of uniform distribution. The entropy and rate distortion theory for this uniform distribution is studied.
Peter Harremoës
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Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial [PDF]
The Haar measure plays a vital role in quantum information, but its study often requires a deep understanding of representation theory, posing a challenge for beginners.
Mele, Antonio Anna
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A note on the density of k-free polynomial sets, Haar measure and global fields [PDF]
, 2022 In this work we investigate the general relation between the density of a subset of the ring of integers D of a general global field and the Haar measure of its closure in the profinite completion D. We then study a specific family of sets, the preimages
Demangos, Luca, Longhi, Ignazio
core
Attractiveness of the Haar measure for linear cellular automata on Markov subgroups [PDF]
, 2006 For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Cesàro mean of the iterates of a Markov measure converges to the Haar measure.
Maass, Alejandro +7 more
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A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis
Mathematical Modelling and AnalysisThe $\alpha$−Lipschitz character of a time series or an image summarizes, in the single parameter α, some persistence properties of the original function modeling the given signal.
Hugo Aimar, Juliana Boasso
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Naively Haar null sets in Polish groups [PDF]
, 2017 Let (G,⋅) be a Polish group. We say that a set X⊂G is Haar null if there exists a universally measurable set U⊃X and a Borel probability measure μ such that for every g,h∈G we have μ(gUh)=0.
Vidnyánszky, Zoltán, Elekes, Márton
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Multipliers on some weighted Lp-spaces
International Journal of Mathematics and Mathematical Sciences, 2000 Let G be a locally compact abelian group with Haar measure dx, and let ω be a symmetric Beurling weight function on G (Reiter, 1968).
S. Öztop
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