Idioma:

Sampling of vector-valued transforms associated with Green's matrix of Dirac systems

Abd-Alla, M.Z. ; Annaby, M.H.

Journal of mathematical analysis and applications, 2003-08, Vol.284 (1), p.104-117 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Sampling of vector-valued transforms associated with Green's matrix of Dirac systems
Autor: Abd-Alla, M.Z. ; Annaby, M.H.
Assuntos: Algebra ; Exact sciences and technology ; Kramer's sampling theorem ; Lagrange interpolations ; Linear and multilinear algebra, matrix theory ; Mathematical analysis ; Mathematics ; Ordinary differential equations ; Regular Dirac's system ; Sciences and techniques of general use
É parte de: Journal of mathematical analysis and applications, 2003-08, Vol.284 (1), p.104-117
Descrição: Recently a sampling theorem associated with regular one-dimensional Dirac systems has been developed. Integral transforms whose kernels are solutions of the systems have been reconstructed from their values at the eigenvalues. In the present article the situation is considered where the kernels are replaced by Green's matrix of the problem. Thus a vector-valued sampling theorem is established for vector-valued transforms. A family of examples where the systems have variable coefficients and a vector-valued Kramer-type sampling lemma are given at the end of the paper.
Editor: San Diego, CA: Elsevier Inc
Idioma: Inglês

Links

Voltar para lista de resultados