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The reproducing kernel method. I

par Devooght, Jacques
Référence Journal of mathematical physics, 13, 8, page (1253-1259)
Publication Publié, 1972

Article révisé par les pairs

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Résumé :

The use of operator-valued reproducing kernels is introduced in order to solve Cauchy problems, ∂N/∂t = HN. A series development of the solution is obtained in terms of the orthogonal functions φ ν(z) in a domain G containing the spectrum of the bounded operator H. The optimal character of the approximate solution is stressed.