Results 41 to 50 of about 2,478,358 (353)

On the Diamond Bessel Heat Kernel

open access: yesJournal of Applied Mathematics, 2011
We study the heat equation in n dimensional by Diamond Bessel operator. We find the solution by method of convolution and Fourier transform in distribution theory and also obtain an interesting kernel related to the spectrum and the kernel which is ...
Wanchak Satsanit
doaj   +1 more source

Embeddings between Triebel-Lizorkin Spaces on Metric Spaces Associated with Operators

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization.
Georgiadis Athanasios G.   +1 more
doaj   +1 more source

Cones, spins and heat kernels [PDF]

open access: yesNuclear Physics B, 1997
The heat kernels of Laplacians for spin 1/2, 1, 3/2 and 2 fields, and the asymptotic expansion of their traces are studied on manifolds with conical singularities. The exact mode-by-mode analysis is carried out for 2-dimensional domains and then extended to arbitrary dimensions.
FURSAEV D. V, MIELE, GENNARO
openaire   +4 more sources

Heat Kernel of Anisotropic Nonlocal Operators [PDF]

open access: yesDocumenta Mathematica, 2017
We construct and estimate the fundamental solution of highly anisotropic space-inhomogeneous integro-differential operators. We use the Levi method. We give applications to the Cauchy problem for such operators.
K. Bogdan, Paweł Sztonyk, V. Knopova
semanticscholar   +1 more source

The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces

open access: yesMathematics, 2015
We develop isometry and inversion formulas for the Segal–Bargmann transform on odd-dimensional hyperbolic spaces that are as parallel as possible to the dual case of odd-dimensional spheres.
Brian C. Hall, Jeffrey J. Mitchell
doaj   +1 more source

Heat kernel and Weyl anomaly of Schrödinger invariant theory [PDF]

open access: yes, 2017
Author(s): Pal, Sridip; Grinstein, Benjamin | Abstract: We propose a method inspired from discrete light cone quantization (DLCQ) to determine the heat kernel for a Schr quot;odinger field theory (Galilean boost invariant with $z=2$ anisotropic scaling ...
Sridip Pal, B. Grinstein
semanticscholar   +1 more source

Heat kernel estimates for time fractional equations [PDF]

open access: yesForum mathematicum, 2017
In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations.
Zhen-Qing Chen   +3 more
semanticscholar   +1 more source

Heat Kernel and Moduli Space [PDF]

open access: yesMathematical Research Letters, 1996
The author describes a proof of the formulas of \textit{E. Witten} [Commun. Math. Phys. 141, No. 1, 153-209 (1991; Zbl 0762.53063); J. Geom. Phys. 9, No. 4, 303-368 (1992; Zbl 0768.53042)] about the symplectic volumes and the intersection numbers of the moduli spaces of principal bundles on a compact Riemann surface.
openaire   +2 more sources

Heat Kernels, Bergman Kernels, and Cusp Forms [PDF]

open access: yes, 2017
This article is a slightly elaborate version of the article arXiv:1506.08497, where certain errors have been corrected on this ...
openaire   +2 more sources

The heat kernel on AdS [PDF]

open access: yesJournal of High Energy Physics, 2011
Added references, added appendix on heat kernel in even ...
Gopakumar, R., Gupta, R.K., Lal, S.
openaire   +3 more sources

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