Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. (English) Zbl 0307.46024

Die Grundlehren der mathematischen Wissenschaften. Band 205. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 420 p. DM 108.00; $44.30 (1975).


46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46F05 Topological linear spaces of test functions, distributions and ultradistributions
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
46E25 Rings and algebras of continuous, differentiable or analytic functions
33B10 Exponential and trigonometric functions
35C10 Series solutions to PDEs
40B05 Multiple sequences and series
41A50 Best approximation, Chebyshev systems
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
42A24 Summability and absolute summability of Fourier and trigonometric series
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
44A40 Calculus of Mikusiński and other operational calculi