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.) |
