Heat Kernels for Elliptic and Sub-elliptic Operators

Released on by Ovidiu Calin
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  • Heat Kernels for Elliptic and Sub-elliptic Operators Book Detail

  • Author : Ovidiu Calin
  • Release Date : 2010-10-10
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 444
  • ISBN 13 : 0817649956
  • File Size : 41,41 MB
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Heat Kernels for Elliptic and Sub-elliptic Operators by Ovidiu Calin PDF Summary

Book Description: This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.

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Heat Kernels and Dirac Operators

Heat Kernels and Dirac Operators

File Size : 52,52 MB
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In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations