WIENER MEASURE FOR H-TYPE GROUP

DOI10.1142/S0129167X13500602zbMath1276.28030OpenAlexW1966886738MaRDI QIDQ2855480

Yingzhan Wang, He Ping Liu

Publication date: 25 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500602

zbMATH Keywords

Wiener measureFeynman-Kac formulaH-type groupsub-Laplacian operator

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Quasi-invariance of the Wiener measure on the path space over a complete Riemannian manifold
• Geometric properties of Heisenberg-type groups
• \(H\)-type groups and Iwasawa decompositions
• A restriction theorem for the H-type groups
• INTEGRATION WITH RESPECT TO ANALOGUE OF WIENER MEASURE OVER PATHS IN WIENER SPACE AND ITS APPLICATIONS
• Wiener and integration in function spaces
• The heat kernel on H-type groups