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Analytic Pseudodifferential Operators

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Louis Boutet de Monvel, Selected Works

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Abstract

The theory of analytic pseudo-differential operators (hereafter abbreviated as ψDOs) started with [BKr67]. The interest of Professor Boutet de Monvel in analyticity is characteristic in his research, and it is remarkable as “regularity” normally meant C in 1960s. The results of this paper are effectively used in his thesis [B69] to construct the parametrix for the elliptic boundary value problem in C ω-framework.

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References

  1. Louis Boutet de Monvel and Paul Krée, Pseudo-differential operators and Gevrey classes, Ann. Inst. Fourier (Grenoble) 17 (1967), no. 1, 295–323.

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    Google Scholar 

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    Google Scholar 

  13. L. Boutet de Monvel, Formal norms and star-exponentials, Lett. Math. Phys. 83 (2008), no. 3, 213–216.

    Article  MathSciNet  MATH  Google Scholar 

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Kawai, T. (2017). Analytic Pseudodifferential Operators. In: Guillemin, V., Sjöstrand, J. (eds) Louis Boutet de Monvel, Selected Works. Contemporary Mathematicians. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27909-1_5

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