Spectral theory and partial differential equations : conference in honor of James Ralston's 70th birthday, spectral theory and partial differential equations, June 17-21, 2013, University of California, Los Angeles, Los Angeles, California

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Spectral theory and partial differential equations : conference in honor of James Ralston's 70th birthday, spectral theory and partial differential equations, June 17-21, 2013, University of California, Los Angeles, Los Angeles, California

Gregory Eskin, Leonid Friedlander, John Garnett, editors

(Contemporary mathematics, 640)

American Mathematical Society, c2015

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the Conference on Spectral Theory and Partial Differential Equations, held from June 17-21, 2013, at the University of California, Los Angeles, California, in honor of James Ralston's 70th Birthday. Papers in this volume cover important topics in spectral theory and partial differential equations such as inverse problems, both analytical and algebraic; minimal partitions and Pleijel's Theorem; spectral theory for a model in Quantum Field Theory; and beams on Zoll manifolds.

Table of Contents

Algebras in reconstruction of manifolds by M. I. Belishev Spectral theory of a mathematical model in quantum field theory for any spin by J.-C. Guillot A review on large $k$ minimal spectral $k$-partitions and Pleijel's theorem by B. Helffer and T. Hoffmann-Ostenhof Increasing stability for near field from the scattering amplitude by V. Isakov Inverse scattering on multi-dimensional asymptotically hyperbolic orbifolds by H. Isozaki, Y. Kurylev, and M. Lassas Error estimates of the Bloch band-based Gaussian beam superposition for the Schrodinger equation by H. Liu and M. Pryporov On random weighted Sobolev inequalities on $\mathbb{R}^4$ and applications by D. Robert and L. Thomann Calderon problem for Maxwell's equations in the waveguide by O. Y. Imanuvilov and M. Yamamoto Gaussian beams on Zoll manifolds and maximally degenerate Laplacians by S. Zelditch

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