Journal article
Uniform analyticity of orthogonal projections
Transactions of the American Mathematical Society, Vol.312(2), pp.779-817
01/01/1989
DOI: 10.1090/S0002-9947-1989-0951882-6
Abstract
Let X X denote the circle T T or the interval [ − 1 , 1 ] [ - 1,1] , and let d μ d\mu denote a nonnegative, absolutely continuous measure on X X . Under what conditions does the Gram-Schmidt procedure in the weighted space L 2 ( X , ω 2 d μ ) {L^2}(X,{\omega ^2}\;d\mu ) depend analytically on the logarithm of the weight function ω \omega ? In this paper, we show that, in numerous examples of interest, log ω ∈ B M O \log \omega \in BMO is a sufficient (often necessary!) condition for analyticity of the Gram-Schmidt procedure. These results are then applied to establish the local analyticity of certain infinite-dimensional Toda flows.
Details
- Title: Subtitle
- Uniform analyticity of orthogonal projections
- Creators
- R. R. CoifmanMargaret A. M. Murray
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.312(2), pp.779-817
- DOI
- 10.1090/S0002-9947-1989-0951882-6
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 01/01/1989
- Academic Unit
- Mathematics; Rhetoric
- Record Identifier
- 9984261346302771
Metrics
6 Record Views