𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the invertibility of “rectangular” bi-infinite matrices and applications in time–frequency analysis

✍ Scribed by Götz E. Pfander

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
252 KB
Volume
429
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

Finite dimensional matrices with more columns than rows have no left inverses while those with more rows than columns have no right inverses. We give generalizations of these simple facts to bi-infinite matrices. Our results are then used to obtain density results for p-frames of time-frequency molecules in modulation spaces and identifiability results for operators with bandlimited Kohn-Nirenberg symbols.

📜 SIMILAR VOLUMES

A comparison of infinite Timoshenko and
A comparison of infinite Timoshenko and Euler–Bernoulli beam models on Winkler foundation in the frequency- and time-domain
✍ P. Ruge; C. Birk 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 390 KB

This paper deals with the dynamic analysis of infinite beam models. The translational and the rotational dynamic stiffness of both Timoshenko and Euler–Bernoulli beams on Winkler foundation are derived and compared in the frequency-domain. The situation of vanishing elastic foundation is included as

Inferring Effects on Tumor Frequencies a
Inferring Effects on Tumor Frequencies and Times to Observation in the Analysis of Tumor Multiplicity Data
✍ Ralph L. Kodell; James J. Chen 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB 👁 2 views

A sequential likelihood-ratio strategy for analyzing tumor multiplicity data from animal bioassays is described and illustrated. The likelihood function is composed of a negative binomial component for the number of induced tumors per animal and a Weibull component for the time to observation of suc