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Bundles of Pseudodifferential Operators and Modular Forms

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Abstract

We describe connections between pseudodifferential operators and modular forms in terms of vector bundles over a Riemann surface whose fibers are the spaces of certain pseudodifferential operators.

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References

  1. Carroll, R.: Topics in Soliton Theory, North-Holland, Amsterdam, 1991.

    Google Scholar 

  2. Cohen, P., Manin, Y. and Zagier, D.: Automorphic pseudodifferential operators, In: Algebraic Aspects of Nonlinear Systems, Birkhäuser, Boston, 1997, pp. 17-47.

    Google Scholar 

  3. Dickey, L.: Soliton Equations and Hamiltonian Systems, World Scientific, Singapore, 1991.

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  4. Miyake, T.: Modular forms, Springer-Verlag, Heidelberg, 1989.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Northern Iowa, Cedar Falls, IA, 50614, U.S.A

    Min Ho Lee

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  1. Min Ho Lee
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Lee, M.H. Bundles of Pseudodifferential Operators and Modular Forms. Letters in Mathematical Physics 50, 301–307 (1999). https://doi.org/10.1023/A:1007611219395

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  • DOI: https://doi.org/10.1023/A:1007611219395

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