×

zbMATH — the first resource for mathematics

The Weyl calculus of pseudo-differential operators. (English) Zbl 0388.47032

MSC:
47Gxx Integral, integro-differential, and pseudodifferential operators
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Atiyah, Ann. Math. 87 pp 484– (1968)
[2] Atiyah, Ann. Math. 87 pp 546– (1968)
[3] Beals, Commun. Pure Appl. Math. 27 pp 1– (1974)
[4] Beals, Commun. Pure Appl. Math. 27 pp 161– (1974)
[5] Beals, Duke Math. J. 42 pp 1– (1975)
[6] Square roots of non-negative systems and the sharp Gårding inequality, mimeographed manuscript.
[7] and , Symbols of operators and quantization, Coll. Math. Soc. Janos Bolyai 5, Hilbert Space Operators, Tihany, 1970, pp. 21–52.
[8] Calderón, J. Math. Soc. Jpn. 23 pp 374– (1971)
[9] Ching, J. Differential Equations 11 pp 436– (1972)
[10] Egorov, Uspekhi Mat. Nauk. 25 pp 235– (1969)
[11] Fedosov, Funktional. Anal. i. Prilozhen 4 pp 83– (1970)
[12] Functional Anal. Appl. 4 pp 339– (1970)
[13] Fedosov, Trudy Moskov. Mat. Obshch. 30 pp 159– (1974)
[14] Trans. Moscow Math. Soc. 30 pp 159– (1974)
[15] Grossman, Ann. Inst. Fourier 18 pp 343– (1969) · Zbl 0176.45102 · doi:10.5802/aif.305
[16] Hörmander, Ann. Math. 83 pp 129– (1966)
[17] Hörmander, Proc. Symp. Pure Math. 10 pp 138– (1966) · doi:10.1090/pspum/010/0383152
[18] Hörmander, J. Analyse Math. 32 pp 118– (1977)
[19] Hörmander, Commun. Pure Appl. Math. 24 pp 529– (1971)
[20] On the index of pseudo-differential operators, in Elliptische Differential-gleichungen, Band II, Akademie-Verlag, Berlin, 1971, pp. 127–146.
[21] Hörmander, Acta Math. 127 pp 79– (1971)
[22] Hörmander, Ann. math. 108 pp 569– (1978)
[23] Kohn, Commun. Pure Appl. Math. 18 pp 269– (1965)
[24] Lax, Commun. Pure Appl. Math. 19 pp 473– (1966)
[25] Melin, Ark. Mat. 9 pp 117– (1971)
[26] Segal, Math. Scand. 13 pp 31– (1963) · Zbl 0208.39002 · doi:10.7146/math.scand.a-10686
[27] An algebra of pseudo-differential operators and the asymptotics of quantum mechanics, mimeographed report, Saclay, 1976.
[28] Weil, Acta. Math. 111 pp 143– (1964)
[29] Gruppentheorie und Quantenmechanik, Verlag von S. Hirzel, Leipzig, 1928.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.