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).
MSC:
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 |