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	Título: Heat Kernels For Elliptic And Sub-Elliptic Operators. (Applied And Numerical Har
	Autor: Calin, O. ; Chang, D. -C. ; Furutani, K. ; Iwasaki, C.	Precio: $1550.00
	Editorial: Birkhauser	Año: 2011
	Tema: Matematicas	Edición: 1ª
	Sinopsis	ISBN: 9780817649944
	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. The work is divided into four main parts: Part I treats the heat kernel by traditional methods, such as the Fourier transform method, paths integrals, variational calculus, and eigenvalue expansion; Part II deals with the heat kernel on nilpotent Lie groups and nilmanifolds; Part III examines Laguerre calculus applications; Part IV uses the method of pseudo-differential operators to describe heat kernels. Topics and features: ¦comprehensive treatment from the point of view of distinct branches of mathematics, such as stochastic processes, differential geometry, special functions, quantum mechanics, and PDEs; ¦novelty of the work is in the diverse methods used to compute heat kernels for elliptic and sub-elliptic operators; ¦most of the heat kernels computable by means of elementary functions are covered in the work; ¦self-contained material on stochastic processes and variational methods is included. 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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