The Function P+λ for Polynomials of Second-degree and its Application in the Construction of Fundamental Solutions

  • Yu. V. Egorov
  • M. A. Shubin
Part of the Encyclopaedia of Mathematical Sciences book series (volume 31)

Abstract

In this chapter we first study in § 1 and § 2 the analytic continuation of the function P + λ for polynomials P(x) of the second (and first) degree. Then using this analytic continuation we contruct in § 3–§5 fundamental solutions for second-order equations with non-degenerate quadratic form having arbitrary signature and arbitrary number of independent variables.

Keywords

Manifold Resi 

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© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Yu. V. Egorov
  • M. A. Shubin

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