000			04073nam a22004215i 4500
001			281355
003			MX-SnUAN
005			20160429154102.0
007			cr nn 008mamaa
008			150903s2011 xxu| o |||| 0|eng d
020			_a9780817649951 _99780817649951
024	7		_a10.1007/9780817649951 _2doi
035			_avtls000333695
039		9	_a201509030217 _bVLOAD _c201404130516 _dVLOAD _c201404092305 _dVLOAD _y201402041117 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aCalin, Ovidiu. _eautor _9306339
245	1	0	_aHeat Kernels for Elliptic and Sub-elliptic Operators : _bMethods and Techniques / _cby Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki.
250			_a1.
264		1	_aBoston : _bBirkhäuser Boston, _c2011.
300			_axviii, 436 páginas 25 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aApplied and Numerical Harmonic Analysis
500			_aSpringer eBooks
505	0		_aPart 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.
520			_aThis 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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aChang, Der-Chen. _eautor _9306340
700	1		_aFurutani, Kenro. _eautor _9306969
700	1		_aIwasaki, Chisato. _eautor _9306970
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817649944
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4995-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c281355 _d281355