Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Karlheinz Gröchenig"'
Autor:
Martin Ehler, Karlheinz Gröchenig
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
In analogy to classical spherical t-design points, we introduce the concept of t-design curves on the sphere. This means that the line integral along a t-design curve integrates polynomials of degree t exactly. For low degrees, we construct explicit
Externí odkaz:
https://doaj.org/article/d1669e2b495144ad814fa480a67d196f
Autor:
Karlheinz Gröchenig, Georg Zimmermann
Publikováno v:
Journal of Function Spaces and Applications, Vol 2, Iss 1, Pp 25-53 (2004)
We characterize several classes of test functions, among them Björck's ultra-rapidly decaying test functions and the Gelfand-Shilov spaces of type S, in terms of the decay of their short-time Fourier transform and in terms of their Gabor coefficient
Externí odkaz:
https://doaj.org/article/af8ec0528b1c412383975289b67bffbf
Publikováno v:
Studia Math. 192(1) (2009), 61 - 77
We study the notion of molecules in coorbit spaces. The main result states that if an operator, originally defined on an appropriate space of test functions, maps atoms to molecules, then it can be extended to a bounded operator on coorbit spaces. Fo
Externí odkaz:
http://arxiv.org/abs/0808.0643
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38:139-173
In this paper we develop a new way to study the global existence and uniqueness for the Navier-Stokes equation (NS) and consider the initial data in a class of modulation spaces E p , q s with exponentially decaying weights ( s 0 , 1 p , q ∞ ) for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::109ba50b358661c877629263640d7d6c
https://doi.org/10.1016/j.anihpc.2020.06.002
https://doi.org/10.1016/j.anihpc.2020.06.002
Publikováno v:
Analysis Mathematica. 46:483-515
We prove strict necessary density conditions for coherent frames and Riesz sequences on homogeneous groups. Let N be a connected, simply connected nilpotent Lie group with a dilation structure (a homogeneous group) and let (π,Hπ) be an irreducible,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41026a6f3682f6f6965d618ddd0c1646
https://doi.org/10.1007/s10476-020-0051-9
https://doi.org/10.1007/s10476-020-0051-9
Autor:
Karlheinz Gröchenig
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030971267
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bce4e41fb7ea0006794b113d833f3d5
https://doi.org/10.1007/978-3-030-97127-4_2
https://doi.org/10.1007/978-3-030-97127-4_2
Publikováno v:
Transactions of the American Mathematical Society, Series B
Transactions of the American Mathematical Society, Series B, American Mathematical Society, 2019, 6 (11), pp.346-364. ⟨10.1090/btran/42⟩
Transactions of the American Mathematical Society, Series B, American Mathematical Society, 2019, 6 (11), pp.346-364. ⟨10.1090/btran/42⟩
We prove general kernel theorems for operators acting between coorbit spaces. These are Banach spaces associated to an integrable representation of a locally compact group and contain most of the usual function spaces (Besov spaces, modulation spaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c82e1212b10ea6d8207570921160409
https://doi.org/10.1090/btran/42
https://doi.org/10.1090/btran/42
Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames
Autor:
Yurii Lyubarskii, Karlheinz Gröchenig
Publikováno v:
Complex Variables and Elliptic Equations. 65:1717-1735
We give a general construction of entire functions in $d$ complex variables that vanish on a lattice of the form $L = A (Z + i Z )^d$ for an invertible complex-valued matrix. As an application we exhibit a class of lattices of density >1 that fail to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98d12ceb917c89507760e9fe7f191153
https://doi.org/10.1080/17476933.2019.1681415
https://doi.org/10.1080/17476933.2019.1681415
Publikováno v:
Wavelets ISBN: 9781003210450
This chapter presents methods for the reconstruction of bandlimited functions from irregular samples. The first part discusses algorithms for a constructive solution of the irregular sampling problem. An important aspect of these algorithms is the ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8184b1c0682ea43e51f57ad059f9c080
https://doi.org/10.1201/9781003210450-10
https://doi.org/10.1201/9781003210450-10
Publikováno v:
Dipòsit Digital de la UB
Universidad de Barcelona
Universidad de Barcelona
We study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz-Zygmund inequalities in subspaces of polynomials. We focus on the study of the Hardy space and the Bergman space in on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00eecb12519ec81131b4895195e6fe56
http://hdl.handle.net/2445/179504
http://hdl.handle.net/2445/179504