My Account
Log in Registration
All
Cart
Highlights
Fiction Books
Non-Fiction Books
Children's Books
Rare Books
Music
DVD & Blu-Ray
Video Games
Category
Wishlists
Cart
All
Free US shipping over $10
Trustpilot
Proud to be B-Corp

Heat Kernels for Elliptic and Sub-elliptic Operators Ovidiu Calin

Heat Kernels for Elliptic and Sub-elliptic Operators By Ovidiu Calin

Heat Kernels for Elliptic and Sub-elliptic Operators by Ovidiu Calin

Reviews:
$144.49
Condition - New
Only 2 left
New

Summary

This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators.

Heat Kernels for Elliptic and Sub-elliptic Operators Summary

Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques by Ovidiu Calin

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.

Heat Kernels for Elliptic and Sub-elliptic Operators Reviews

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)

Authors of the present monograph devote themselves to finding the explicit formulas of heat kernels for elliptic and sub-elliptic operators. ... there are plenty of exact formulas of the heat kernels for elliptic and sub-elliptic operators in this work. Most of them are represented by means of elementary functions. ... Those results in this book are important to the experts for further studying the diffusion phenomena or the properties of solutions of parabolic equations with initial data. ... this is also a good reference book. (Jun-Qi Hu, Zentralblatt MATH, Vol. 1207, 2011)

Table of Contents

Part I. Traditional Methods for Computing Heat Kernels.- Introduction.- Stochastic Analysis Method.- A Brief Introduction to Calculus of Variations.- The Path Integral Approach.- The Geometric Method.- Commuting Operators.- Fourier Transform Method.- The Eigenfunctions Expansion Method.- Part II. Heat Kernel on Nilpotent Lie Groups and Nilmanifolds.- Laplacians and Sub-Laplacians.- Heat Kernels for Laplacians and Step 2 Sub-Laplacians.- Heat Kernel for Sub-Laplacian on the Sphere S^3.- Part III. Laguerre Calculus and Fourier Method.- Finding Heat Kernels by Using Laguerre Calculus.- Constructing Heat Kernel for Degenerate Elliptic Operators.- Heat Kernel for the Kohn Laplacian on the Heisenberg Group.- Part IV. Pseudo-Differential Operators.- The Psuedo-Differential Operators Technique.- Bibliography.- Index.

Additional information

NPB9780817649944
9780817649944
0817649948
Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques by Ovidiu Calin
Ovidiu Calin
Applied and Numerical Harmonic Analysis
New
Hardback
Birkhauser Boston Inc
2010-10-21
436
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Heat Kernels for Elliptic and Sub-elliptic Operators