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Abstrakty
Let $ℳ_{p} = {m_{k}}_{k=0}^{p-1}$ be a finite set of step functions or real valued trigonometric polynomials on 𝕋 = [0,1) satisfying a certain orthonormality condition. We study multiscale generalized Riesz product measures μ defined as weak-* limits of elements $μ_{N} ∈ V_{N} (N ∈ ℕ)$, where $V_{N}$ are $p^{N}$-dimensional subspaces of L₂(𝕋) spanned by an orthonormal set which is produced from dilations and multiplications of elements of $ℳ_{p}$ and $\overline{⋃_{N∈ ℕ} V_{N}} = L₂(𝕋)$. The results involve mutual absolute continuity or singularity of such Riesz products extending previous results on multiscale Riesz products.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
141-154
Opis fizyczny
Daty
wydano
2012
Twórcy
autor
- Department of Mathematics, Physics and Computer Sciences, Faculty of Engineering, Aristotle University of Thessaloniki, 54-124 Thessaloniki, Greece
autor
- School of Technological Applications, Department of General Sciences, Institute of West Macedonia, Kila 50-100 Kozani, Greece
Bibliografia
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-1