Elementary Linear Algebra for Advanced Spectral Problems

  title={Elementary Linear Algebra for Advanced Spectral Problems},
  author={M. Zworski},
The purpose of this article is to discuss a simple linear algebraic tool which has proved itself very useful in the mathematical study of spectral problems arising in elecromagnetism and quantum mechanics. Roughly speaking it amounts to replacing an operator of interest by a suitably chosen invertible system of operators. That approach has a very long tradition and appears constantly under different names and guises in many works of pure and applied mathematics. Our purpose here is not to… CONTINUE READING
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