Heat Kernels for Elliptic and Sub-Elliptic Operators
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Home > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Heat Kernels for Elliptic and Sub-Elliptic Operators: Methods and Techniques(0 Applied and Numerical Harmonic Analysis)
Heat Kernels for Elliptic and Sub-Elliptic Operators: Methods and Techniques(0 Applied and Numerical Harmonic Analysis)

Heat Kernels for Elliptic and Sub-Elliptic Operators: Methods and Techniques(0 Applied and Numerical Harmonic Analysis)


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About the Book

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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From the reviews: The present book provides a comprehensive presentation of several theories for finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. One of the nice features of the book is the diversity of methods used, coming from the theory of stochastic processes, differential geometry, special functions, quantum mechanics and PDEs. the book is very well organized and essentially self-contained. Hence, it is perfect reference material for graduate students and researchers in harmonic analysis and sub-Riemannian geometry, as well as theoretical physicists. (Fabio Nicola, Mathematical Reviews, Issue 2011 i)


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Product Details
  • ISBN-13: 9780817649951
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Language: English
  • Series Title: 0 Applied and Numerical Harmonic Analysis
  • ISBN-10: 0817649956
  • Publisher Date: 01 Jan 2011
  • Binding: Digital (delivered electronically)
  • No of Pages: 443
  • Sub Title: Methods and Techniques


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