Duke Mathematical Journal

The Campbell-Hausdorff theorem for elliptic operators and a related trace formula

Kate Okikiolu
Source: Duke Math. J. Volume 79, Number 3 (1995), 687-722.
First Page: Show Hide
Primary Subjects: 58G26
Secondary Subjects: 47G30, 58G15
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285354
Mathematical Reviews number (MathSciNet): MR1355181
Zentralblatt MATH identifier: 0854.35137
Digital Object Identifier: doi:10.1215/S0012-7094-95-07918-6

References

[1] M. Hausner and J. Schwartz, Lie Groups; Lie Algebras, Gordon and Breach Science Publishers, New York, 1968.
Mathematical Reviews (MathSciNet): MR38:3377
Zentralblatt MATH: 0192.35902
[2] N. Jacobson, Lie Algebras, Interscience Tracts in Pure and Appl. Math., vol. 10, Wiley and Sons, New York-London, 1962.
Mathematical Reviews (MathSciNet): MR26:1345
Zentralblatt MATH: 0121.27504
[3] K. Okikiolu, The multiplicative anomaly for determinants of elliptic operators, Duke Math. J. 79 (1995), no. 3, 723–750.
Mathematical Reviews (MathSciNet): MR96j:58176
Zentralblatt MATH: 0851.58048
Digital Object Identifier: doi:10.1215/S0012-7094-95-07919-8
Project Euclid: euclid.dmj/1077285355
[4] R. Seeley, Complex powers of an elliptic operator, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966), Proc. Sympos. Pure Math., vol. 10, Amer. Math. Soc., Providence, 1967, pp. 288–307.
Mathematical Reviews (MathSciNet): MR38:6220
Zentralblatt MATH: 0159.15504
[5] R. Strichartz, The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations, J. Funct. Anal. 72 (1987), no. 2, 320–345.
Mathematical Reviews (MathSciNet): MR89b:22011
Zentralblatt MATH: 0623.34058
Digital Object Identifier: doi:10.1016/0022-1236(87)90091-7
[6] F. Treves, Introduction to pseudodifferential and Fourier integral operators. Vol. 1, Plenum Press, New York, 1980.
Mathematical Reviews (MathSciNet): MR82i:35173
Zentralblatt MATH: 0453.47027

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