Rempel, Stephan; Schulze, Bert-Wolfgang Index theory of elliptic boundary problems. (English) Zbl 0504.35002 Mathematische Lehrbücher und Monographien, II. Abteilung: Mathematische Monographien, Bd. 55. Berlin: Akademie-Verlag. 393 p. M 75.00 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 71 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35S05 Pseudodifferential operators as generalizations of partial differential operators 58J10 Differential complexes 58J20 Index theory and related fixed-point theorems on manifolds 58J40 Pseudodifferential and Fourier integral operators on manifolds 47F05 General theory of partial differential operators 47A53 (Semi-) Fredholm operators; index theories Keywords:index theory; transmission condition; Bott periodicity; k-theory; oscillating integrals; compact manifold without boundary; symbolic calculus; Wiener-Hopf operator; homotopy classification; Green formula; vector bundles; Atiyah-Singer theory; regularity in Sobolev spaces PDF BibTeX XML OpenURL