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Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. Transl. from the Russian by F. A. Cezus. Ed. by Lev J. Leifman. (English) Zbl 0426.46020


MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47Gxx Integral, integro-differential, and pseudodifferential operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47A50 Equations and inequalities involving linear operators, with vector unknowns
35S99 Pseudodifferential operators and other generalizations of partial differential operators
35B25 Singular perturbations in context of PDEs
45C05 Eigenvalue problems for integral equations
35P05 General topics in linear spectral theory for PDEs
47-02 Research exposition (monographs, survey articles) pertaining to operator theory
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis