## Spectral theory and problems in diffraction |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

The Asymptotic Behavior of QuasiEigenvalues of | iv |

Stieltjes DoubleIntegral Operators II | 19 |

Wave Propagation near the Curved Surface of an Inhomogeneous | 47 |

Copyright | |

3 other sections not shown

### Common terms and phrases

Airy function analogous approximation arc length assertion assume asymptotic behavior asymptotic formulas belongs to class Borel measure boundary condition boundary layer bounded calculations classes Wp coefficients constant continuum integrals contour converges coordinate corresponding cube curve defined denote derivatives differential operator diffraction Doklady Akad double-integral operator eigenfunctions eigenvalues estimate finite Fourier transformation function U(z geodesic Green's function half-plane Helmholtz equation Hilbert space infinite number infinitely differentiable integral operator integral sums interval kernel Lemma Let us introduce Matem multiplicative representation Nauk SSSR nonself-adjoint norm obtain p(Xk parabolic equation partitioning polynomials potential q(x present paper problem real axis respect ring r(R s. i. operator s. n. ideals saddle-point method satisfying the condition smooth solution of Eq space spectral spectral theory sufficiently Theorem 6.3 theory tion transformer 2.2 upper half-plane V. S. Buldyrev variable Weyl function zero