6 papers
On Complex Analytic tools, and the Holomorphic Rotation methods
Ronald R. Coifman, Jacques Peyrière, Guido Weiss
We describe recent nonlinear analytic approximation tools in the classical setting of Hardy spaces in the upper half plane and show how to transfer them to the higher dimensional r…
Constructing an orthonormal wavelet from an MRA
Kwok Hao Lee, Guido L. Weiss
In this article, we follow closely the approach in Hernandez and Weiss's seminal text in describing the construction of an orthonormal wavelet from a multi-resolution analysis. We…
An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet
Netanel Friedenberg, Peter M. Luthy, Guido L. Weiss
In this article, we present a simple criterion for checking whether a one-parameter matrix group of dilations admits a continuous wavelet. This criterion involves only checking tha…
Projections and Dyadic Parseval Frame MRA Wavelets
Peter M. Luthy, Guido L. Weiss, Edward N. Wilson
A classical theorem attributed to Naimark states that, given a Parseval frame in a Hilbert space , one can embed in a larger Hilbert space…
A survey on subideals of operators and an introduction to subideal-traces
S. Patnaik, G. Weiss
Operator ideals in B(H) are well understood and exploited but ideals inside them have only recently been studied starting with the 1983 seminal work of Fong and Radjavi and continu…
Subideals of operators
S. Patnaik, G. Weiss
A subideal is an ideal of an ideal of B(H) and a principal subideal is a principal ideal of an ideal of B(H). We determine necessary and sufficient conditions for a principal subid…