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Pseudo-differential operators acting on the sheaf of microfunctions

  • Part I: Hyperfunctions
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Hyperfunctions and Theoretical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 449))

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References

  1. Boutet de Monuel, L. and P. Krée: Pseudo-differential operators and Gevrey classes, Ann. Inst. Fourier, 17(1967) 295–323.

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  2. Egorov, Yu. V.: On canonical transformations of pseudo-differential operators, Uspehi Mat. Nauk, 25(1969) 235–236.

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  3. Hörmander, L.: Fourier integral operators, I, Acta Math. 127(1971) 79–183.

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  4. Lewy, H.: An example of a smooth linear partial differential equation without solution, Ann. of Math. 66(1957) 155–158.

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  5. Maslov, V.: Theory of Perturbation and Asymptotic Method, Moscow State Univ. 1965 (Russian, also translated into French by Lascoux and Seneor (Dunod-Ga thier-Villars, 1972).

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  6. Sato, M: Hyperfunctions and partial differential equations, Proc. Intern. Conf. on Functional Analysis and Related Topics, Univ. of Tokyo Press, 1969, pp.91–94.

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  7. Sato, M., T. Kawai and M. Kashiwara: Microfunctions and pseudo-differential equations, Proc. Katata Conf., Lecture Notes in Math. No.287, Springer, 1973, pp.263–529.

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  8. __: On the structure of single linear pseudo-differential equations, Proc. Japan Acad. 48(1972) 643–646.

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Author information

Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Japan

    Takahiro Kawai

  2. Département de Mathématiques, Nice

    Takahiro Kawai

Authors
  1. Takahiro Kawai
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Frédéric Pham

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© 1975 Springer-Verlag

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Kawai, T. (1975). Pseudo-differential operators acting on the sheaf of microfunctions. In: Pham, F. (eds) Hyperfunctions and Theoretical Physics. Lecture Notes in Mathematics, vol 449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062915

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  • DOI: https://doi.org/10.1007/BFb0062915

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07151-8

  • Online ISBN: 978-3-540-37454-1

  • eBook Packages: Springer Book Archive

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