Scattering theory and quadratic forms: On a theorem of Schechter
β Scribed by B. Simon
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 162 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
In this paper a series representation of the joint density and the joint distribution of a quadratic form and a linear form in normal variables is developed. The expansion makes use of Laguerre polynomials. As an example the calculation of the joint distribution of the mean and the sample variance i
## Abstract Let 1 β€ __p__ < β and let __T__ be an ergodic measureβpreserving transformation of the finite measure space (__X__, __ΞΌ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ Ο΅ __L^p^__ (__X__, __ΞΌ__), equation image When __X__ = π^__n__^ (the unit spher