Analysis. Part II: Integration, distributions, holomorphic functions, tensor and harmonic analysis. Rev. transl. of ”Analiza”. (English) Zbl 0432.46001
Dordrecht, Boston, London: D. Reidel Publishing Company. Warsaw: PWN - Polish Scientific Publishers. XVII, 829 p. (1980).
MSC:
46-02 | Research exposition (monographs, survey articles) pertaining to functional analysis |
28-02 | Research exposition (monographs, survey articles) pertaining to measure and integration |
30-02 | Research exposition (monographs, survey articles) pertaining to functions of a complex variable |
32-02 | Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces |
28C05 | Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures |
28C10 | Set functions and measures on topological groups or semigroups, Haar measures, invariant measures |
28C20 | Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) |
30F10 | Compact Riemann surfaces and uniformization |
30F15 | Harmonic functions on Riemann surfaces |
30F35 | Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) |
32A10 | Holomorphic functions of several complex variables |
32A20 | Meromorphic functions of several complex variables |
30D30 | Meromorphic functions of one complex variable (general theory) |
32A17 | Special families of functions of several complex variables |
32A27 | Residues for several complex variables |
46A13 | Spaces defined by inductive or projective limits (LB, LF, etc.) |
46A11 | Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) |
46F05 | Topological linear spaces of test functions, distributions and ultradistributions |
46F10 | Operations with distributions and generalized functions |
46F12 | Integral transforms in distribution spaces |
46J20 | Ideals, maximal ideals, boundaries |
54D20 | Noncompact covering properties (paracompact, Lindelöf, etc.) |
54D15 | Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) |