Results 31 to 40 of about 2,291 (82)

Iterations of the generalized Gram-Schmidt procedure for generating Parseval frames [PDF]

, 2016
In this paper we describe some properties of the generalized Gram-Schmidt procedure (GGSP) for generating Parseval frames which was first introduced by Casazza and Kutyniok [A generalization of Gram-Schmidt orthogonalization generating all Parseval ...
Berić, Tomislav
core   +2 more sources

A Hilbert C*-module admitting no frames

, 2009
We show that every infinite-dimensional commutative unital C*-algebra has a Hilbert C*-module admitting no frames. In particular, this shows that Kasparov's stabilization theorem for countably generated Hilbert C*-modules can not be extended to arbitrary
Li, Hanfeng
core   +1 more source

Angular multiselectivity with spherical wavelets

, 2018
We construct spherical wavelets based on approximate identities that are directional, i.e. not rotation-invariant, and have an adaptive angular selectivity.
Iglewska-Nowak, Ilona
core   +1 more source

Counterexamples to the B-spline conjecture for Gabor frames

, 2015
The frame set conjecture for B-splines $B_n$, $n \ge 2$, states that the frame set is the maximal set that avoids the known obstructions. We show that any hyperbola of the form $ab=r$, where $r$ is a rational number smaller than one and $a$ and $b ...
Lemvig, Jakob, Nielsen, Kamilla Haahr
core   +1 more source

Partitions of Unity and New Obstructions for Gabor Frames [PDF]

arXiv, 2015
We derive new obstructions for Gabor frames. This note explains and proves the computer generated observations of Lemvig and Nielsen in arXiv:1507.03982.
arxiv  

A Weyl type formula for Fourier spectra and frames [PDF]

arXiv, 2003
We prove qualitative and quantitative results concerning the asymptotic density in dilates of centered convex bodies of the frequency vectors of orthogonal exponential bases and frames associated to bounded domains in Euclidean space.
arxiv  

A fundamental identity for Parseval frames [PDF]

arXiv, 2005
In this paper we establish a suprising fundamental identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss the derived results.
arxiv  

A deconvolution estimate and localization in spline-type spaces [PDF]

arXiv, 2008
In this article some explicit estimates on the decay of the convolutive inverse of a sequence are proved. They are derived from the functional calculus for Sobolev algebras. Applications include localization in spline-type spaces and oversampling schemes.
arxiv  

Topics on Meixner families [PDF]

arXiv, 2008
We shed the light on the inter-connections between different characterizations leading to the classical, free and quantum Meixner families.
arxiv  

Frame Constants of Gabor Frames near the Critical Density [PDF]

arXiv, 2009
We consider Gabor frames generated by a Gaussian function and describe the behavior of the frame constants as the density of the lattice approaches the critical value.
arxiv