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Expansions in eigenfunctions of selfadjoint operators. Translated from the Russian by R. Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman. (English) Zbl 0157.16601

Translations of Mathematical Monographs, Vol. 17. Providence, R.I.: American Mathematical Society 1968. ix, 809 p. (1968).
Translation of the Russian original (Kiev: Naukova Dumka) (1965; Zbl 0142.37203).

MSC:

35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
47-02 Research exposition (monographs, survey articles) pertaining to operator theory
35J40 Boundary value problems for higher-order elliptic equations
35P05 General topics in linear spectral theory for PDEs
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
47B25 Linear symmetric and selfadjoint operators (unbounded)

Citations:

Zbl 0142.37203