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Integrable Systems and Riemann Surfaces of Infinite Genus Book PDF Summary

This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.

Detail Book of Integrable Systems and Riemann Surfaces of Infinite Genus PDF

Integrable Systems and Riemann Surfaces of Infinite Genus
  • Author : Martin Ulrich Schmidt
  • Release : 20 September 1996
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821804605
  • Genre : Mathematics
  • Total Page : 127 pages
  • Language : English
  • PDF File Size : 9,6 Mb

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