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Luke, Glenys

Pseudodifferential operators on Hilbert bundles. (English) Zbl 0238.35077

J. Differ. Equations 12, 566-589 (1972).
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Cited in 26 Documents

MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
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[1] Atiyah, M. F., \(K\)-Theory (1967), Benjamin: Benjamin New York · Zbl 0735.57001
[2] Atiyah, M. F., Bott periodicity and the index of elliptic operators, Quart. J. Math. Oxford Ser., 19, 113-140 (1960) · Zbl 0159.53501
[3] Atiyah, M. F.; Singer, I. M., The index of elliptic operators: I, Ann. of Math., 87, 484-530 (1968) · Zbl 0164.24001
[4] de Monvel, L. Boutet, Boundary problems for pseudo-differential operators, Acta Math., 126, 11-52 (1971) · Zbl 0206.39401
[5] Hormander, L., On the index of pseudo-differential operators, (Elliptische Differentialgleichung II (Aug. 1969), Schriftenreihe der Inst. für Math. Deutsch. d. Wiss. zu Berlin), Reihe A, Helf 8 · Zbl 0206.39303
[6] Kohn, J.; Nirenberg, L., An algebra of pseudo differential operators, Comm. Pure Appl. Math., 18, 269-306 (1965) · Zbl 0171.35101
[7] Nirenberg, L., Pseudo-differential operators, (Amer. Math. Soc. Proc. Symp. Pure Math., Global Analysis, 16 (1970)), 149-168 · Zbl 0218.35075
[8] Palais, R., Foundations of Global Non-Linear Analysis (1968), Benjamin: Benjamin New York · Zbl 0164.11102
[9] de Rham, G., Variétés Différentiables, Act. Sci. et Ind. 1222 (1954), Hermann: Hermann Paris
[10] Segal, G. B., Fredholm complexes, Quart. J. Math. Oxford Ser., 10, 123-125 (1970) · Zbl 0213.25403
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