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Representation of Generalized Analytic Vectors in Matrix Form

✍ Scribed by Bernd Goldschmidt

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
360 KB
Volume
130
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES

Regularity Properties of Generalized Ana
Regularity Properties of Generalized Analytic Vectors in Rn
✍ Bernd Goldschmidt πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 335 KB

The aim of this paper is to describe regularity properties of the solutions of a certain class of first order elliptic systems of partial differential equations in the EucLIDian space R". These systems have many important applications in mathematical physics (for instance equations in elasticity, MA

Series expansions and maximum principles
Series expansions and maximum principles for generalized analytic vectors in the space Rn
✍ Bernd Goldschmidt πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 426 KB

In a few preceding papers we discussed the existence and representation of solutions of a certain class of linear elliptic systems of partial differential equations of first order in the space Kn. Here w'c construct a complete set of solutions of these systems and prove maximum principles.

A Determinant Representation for the Dis
A Determinant Representation for the Distribution of a Generalised Quadratic Form in Complex Normal Vectors
✍ Peter J Smith; Hongsheng Gao πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 186 KB

Consider the quadratic form Z=Y H (XL X H ) &1 Y where Y is a p\_m complex Gaussian matrix, X is an independent p\_n complex Gaussian matrix, L is a Hermitian positive definite matrix, and m p n. The distribution of Z has been studied for over 30 years due to its importance in certain multivariate s

Compact Matrix Expressions for Generaliz
Compact Matrix Expressions for Generalized Wald Tests of Equality of Moment Vectors
✍ Albert Satorra; Heinz Neudecker πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 388 KB

Asymptotic chi-squared test statistics for testing the equality of moment vectors are developed. The test statistics proposed are generalized Wald test statistics that specialize for different settings by inserting an appropriate asymptotic variance matrix of sample moments. Scaled test statistics a

A Determinant Representation for the Dis
A Determinant Representation for the Distribution of Quadratic Forms in Complex Normal Vectors
✍ Hongsheng Gao; Peter J Smith πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 161 KB

Let the column vectors of X: M\_N, M<N, be distributed as independent complex normal vectors with the same covariance matrix 7. Then the usual quadratic form in the complex normal vectors is denoted by Z=XLX H where L: N\_N is a positive definite hermitian matrix. This paper deals with a representat