000			01372nmm a2200205Ia 4500
008			230302s9999||||xx |||||||||||||||||und||
020			_a9781470417505 (online)
050			_aQA377
100			_aGrigoryan, A.
245		0	_aHeat kernel and analysis on manifolds _h: AMSIP volume 47
260			_aProvidence, R.I. :;[Somerville, Mass.] : _bAmerican Mathematical Society : International Press, _cc2009.
300			_a1 online resource (xvii, 482 p. : ill.)
490			_aAMS/IP Studies in Advanced Mathematics, _vv. 47 _x2472-5153
505			_tLaplace operator and the heat equation in _\mathbb {R}^n _ ; Function spaces in _\mathbb {R}^n _ ; Laplace operator on a Riemannian manifold ; Laplace operator and heat equation in _L^{2}(M) _ ; Weak maximum principle and related topics ; Regularity theory in _\mathbb {R}^n _ ; The heat kernel on a manifold ; Positive solutions ; Heat kernel as a fundamental solution ; Spectral properties ; Distance function and completeness ; Gaussian estimates in the integrated form ; Green function and Green operator ; Ultracontractive estimates and eigenvalues ; Pointwise Gaussian estimates I ; Pointwise Gaussian estimates II ; Appendix A. Reference material
650			_aGaussian processes
650			_aHeat equation
650			_aKernel functions
650			_aRiemannian manifolds
856			_uhttp://www.ams.org/amsip/047
999			_c28351 _d28351