{"product_id":"heat-kernels-for-elliptic-and-sub-elliptic-operators-methods-and-techniques-9780817649944","title":"Heat Kernels for Elliptic and Sub-Elliptic Operators: Methods and Techniques","description":"\u003cp\u003e • Author(s): Ovidiu Calin\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Differential Equations - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eThis 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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. \u003cp\u003e\u003c\/p\u003e Topics and features: \u003cp\u003e\u003c\/p\u003e -comprehensive treatment from the point of view of distinct branches of mathematics, such as stochastic processes, differential geometry, special functions, quantum mechanics, and PDEs; \u003cp\u003e\u003c\/p\u003e -novelty of the work is in the diverse methods used to compute heat kernels for elliptic and sub-elliptic operators; \u003cp\u003e\u003c\/p\u003e -most of the heat kernels computable by means of elementary functions are covered in the work; \u003cp\u003e\u003c\/p\u003e -self-contained material on stochastic processes and variational methods is included. \u003cp\u003e\u003c\/p\u003e \u003cem\u003eHeat Kernels for Elliptic and Sub-elliptic Operators\u003c\/em\u003e 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.\u003cbr\u003e \u003cbr\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45279811928215,"sku":"9780817649944","price":7277.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817649944.webp?v=1769294618","url":"https:\/\/atlanticbooks.com\/products\/heat-kernels-for-elliptic-and-sub-elliptic-operators-methods-and-techniques-9780817649944","provider":"Atlantic Books","version":"1.0","type":"link"}