On the transfer of the Wiener measure to the set of continuous trajectories in the Heisenberg group

DOI10.1134/S1061920819040046zbMath1452.28008OpenAlexW2996246720WikidataQ126530667 ScholiaQ126530667MaRDI QIDQ2304177

Sergeĭ Vladimirovich Mamon

Publication date: 6 March 2020

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920819040046

zbMATH Keywords

Heisenberg groupWiener measurecontact structure

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Cites Work

• The spectrum of the sub-Laplacian on the Heisenberg group
• Gaussian measures in Banach spaces
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Sub-Riemannian balls on the Heisenberg groups: an invariant volume
• Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
• INTEGRATION IN INFINITE DIMENSIONAL SPACES AND THE WIENER INTEGRAL
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