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Some spectral results for the Laplace operator with potential on the n- sphere. (English) Zbl 0433.35052


MSC:

35P05 General topics in linear spectral theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:

[1] Duistermaat, J. J.; Hormander, L., Fourier integral operators II, Acta Math., 128, 183-269 (1972) · Zbl 0232.47055
[2] V. GuilleminAdvances in Math.; V. GuilleminAdvances in Math. · Zbl 0441.58012
[3] V. GuilleminAdvances in Math.; V. GuilleminAdvances in Math. · Zbl 0441.58012
[4] Guillemin, V.; Sternberg, S., Geometric Asymptotics, (AMS Survey Publications (1977), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · Zbl 0503.58018
[5] Kohn, J. J.; Nirenberg, L., An algebra of pseudodifferential operators, Comm. Pure Appl. Math., 18, 269-305 (1965) · Zbl 0171.35101
[6] M. Kac and T. Spencer; M. Kac and T. Spencer
[7] M. Taylor; M. Taylor · Zbl 0733.47044
[8] A. Weinstein; A. Weinstein
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