Kirillov, A. A.; Gvishiani, A. D. Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). 2nd ed., rev. and compl. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie.) (Russian) Zbl 0641.46003 Moskva: Nauka. 400 p. R. 1.1 (1988). This book has been translated to English (1982; Zbl 0486.46002), French (1982; Zbl 0501.46004) and Italian (1983; Zbl 0516.46002). For a review on the first Russian edition (1979) see Zbl 0481.46002. Cited in 12 Documents MSC: 46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis 28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory 43-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to abstract harmonic analysis 46F05 Topological linear spaces of test functions, distributions and ultradistributions 46F10 Operations with distributions and generalized functions 46F12 Integral transforms in distribution spaces 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 47B25 Linear symmetric and selfadjoint operators (unbounded) 47A53 (Semi-) Fredholm operators; index theories 28A12 Contents, measures, outer measures, capacities Keywords:categories and functors; general measure theory; linear topological spaces and linear operators; test functions and generalized functions; distributions; tensor products; Fredholm operators; spectral theory of compact selfadjoint operators in Hilbert space; convolutions of functions and distributions; harmonic analysis on locally compact abelian groups; Fourier series and Fourier transforms for functions and distributions in Euclidean spaces; spectral theory of selfadjoint and normal operators in Hilbert space Citations:Zbl 0486.46002; Zbl 0501.46004; Zbl 0516.46002; Zbl 0481.46002 PDFBibTeX XMLCite \textit{A. A. Kirillov} and \textit{A. D. Gvishiani}, Teoremy i zadachi funktsional'nogo analiza. Uchebnoe posobie (Russian). 2nd ed., rev. and compl. Moskva: Nauka (1988; Zbl 0641.46003)