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Some problems in integral geometry and some related problems in micro- local analysis. (English) Zbl 0446.58019

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
53C65 Integral geometry
47Gxx Integral, integro-differential, and pseudodifferential operators
35P20 Asymptotic distributions of eigenvalues in context of PDEs
53D50 Geometric quantization
35A22 Transform methods (e.g., integral transforms) applied to PDEs
58J40 Pseudodifferential and Fourier integral operators on manifolds
44A99 Integral transforms, operational calculus
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