GAUSS FORMULA AND SYMMETRIC EXTENSIONS OF THE LAPLACIAN ON CONFIGURATION SPACES-Reference-Cited by-同舟云学术

GAUSS FORMULA AND SYMMETRIC EXTENSIONS OF THE LAPLACIAN ON CONFIGURATION SPACES

Published:2001-12 Issue:04 Volume:04 Page:489-509
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

FINKELSHTEIN D. L.¹,KONDRATIEV YU. G.²,RÖCKNER M.²,KONSTANTINOV A. YU.³

Affiliation:

1. Institute of Mathematics, Ukrainian National Science Academy, 3 Tereshchenkivs'ka St, MSP, Kyiv, 01601, Ukraine

2. Department of Mathematics, Bielefeld University, D-33501, Bielefeld, Germany

3. Department of Mathematics, Kyiv University, 64 Volodymyrs'ka St, 252033, Kyiv, Ukraine

Abstract

We prove an analogue of the classical Gauss formula for the configuration space ΓΛ over a domain Λ of ℝd and study symmetric extensions of the corresponding Laplacian on ΓΛ.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025701000656

Reference10 articles.

1. Analysis and Geometry on Configuration Spaces

2. Analysis and Geometry on Configuration Spaces: The Gibbsian Case

3. A divergence theorem for Hilbert space

4. Scattering Problem for Local Perturbations\newline of the Free Quantum Gas

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stokes Formula for Banach Manifolds;Ukrainian Mathematical Journal;2021-04

2. Banach Manifolds with Bounded Structure and the Gauss–Ostrogradskii Formula;Ukrainian Mathematical Journal;2013-03

3. Applications;Lecture Notes in Mathematics;2003