Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Jordy Timo van Velthoven"'
Publikováno v:
Monatshefte für Mathematik, 201(2)
This paper provides maximal function characterizations of anisotropic Triebel–Lizorkin spaces associated to general expansive matrices for the full range of parameters $$p \in (0,\infty )$$ p ∈ ( 0 , ∞ ) , $$q \in (0,\infty ]$$ q ∈ ( 0 , ∞
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http://resolver.tudelft.nl/uuid:319a48a8-bf34-48fd-bd4d-94ad104c7e24
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Autor:
Ulrik Enstad, Jordy Timo van Velthoven
Publikováno v:
Archiv der Mathematik, 119(3)
This note provides new criteria on a unimodular group $G$ and a discrete series representation $(\pi, \mathcal{H}_{\pi})$ of formal degree $d_{\pi} > 0$ under which any lattice $\Gamma \leq G$ with $\text{vol}(G/\Gamma) d_{\pi} \leq 1$ (resp. $\text{
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45ae40e1fe8b4667825bffaef42d7427
http://hdl.handle.net/10852/94257
http://hdl.handle.net/10852/94257
Publikováno v:
Journal of Geometric Analysis, 32(5)
We derive an extension of the Walnut–Daubechies criterion for the invertibility of frame operators. The criterion concerns general reproducing systems and Besov-type spaces. As an application, we conclude that $$L^2$$ L 2 frame expansions associate
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https://doi.org/10.1007/s12220-022-00887-2
https://doi.org/10.1007/s12220-022-00887-2
Publikováno v:
Expositiones Mathematicae, 40(2)
This article considers the relation between the spanning properties of lattice orbits of discrete series representations and the associated lattice co-volume. The focus is on the density theorem, which provides a trichotomy characterizing the existen
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Publikováno v:
Mathematische Zeitschrift, 302(1)
Let $$\pi _{\alpha }$$ π α be a holomorphic discrete series representation of a connected semi-simple Lie group G with finite center, acting on a weighted Bergman space $$A^2_{\alpha } (\Omega )$$ A α 2 ( Ω ) on a bounded symmetric domain $$\Omeg
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Publikováno v:
Monatshefte für Mathematik
Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces $$\dot{\textbf{F}}^{\alpha }_{p,q}$$ F ˙ p , q α for the endpoint case of $$p = \infty $$ p = ∞ and the full scale of parameters $$\alp
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Publikováno v:
Journal of Functional Analysis, 283(6)
This paper provides sufficient density conditions for the existence of smooth vectors generating a frame or Riesz sequence in the lattice orbit of a square-integrable projective representation of a nilpotent Lie group. The conditions involve the prod
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df1e43ac2af55b51e025fda7db9fdb41
Publikováno v:
Journal of Functional Analysis. 280:108963
We show that sampling or interpolation formulas in reproducing kernel Hilbert spaces can be obtained by reproducing kernels whose dual systems form molecules, ensuring that the size profile of a function is fully reflected by the size profile of its
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https://explore.openaire.eu/search/publication?articleId=doi_________::d8f530ae7f152a282d0c45b8623ea0ea
https://doi.org/10.1016/j.jfa.2021.108963
https://doi.org/10.1016/j.jfa.2021.108963
Autor:
Jordy Timo van Velthoven
This paper considers the local integrability condition for generalised translation-invariant systems and its relation to the Calder\'on integrability condition, the temperateness condition and the uniform counting estimate. It is shown that sufficien
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Autor:
Jordy Timo van Velthoven, Jakob Lemvig
Publikováno v:
Lemvig, J & van Velthoven, J T 2019, ' Criteria for generalized translation-invariant frames ', Studia Mathematica, vol. 251, pp. 31-63 . https://doi.org/10.4064/sm180302-30-12
This paper provides new sufficient and necessary conditions for the frame property of generalized translation-invariant systems. The conditions are formulated in the Fourier domain and consists of estimates involving the upper and lower frame bound.
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