Stochastic integrals and stochastic differential equations over the field of \(p\)-adic numbers
From MaRDI portal
Publication:1357509
DOI10.1023/A:1017913800810zbMath0874.60047OpenAlexW39201357MaRDI QIDQ1357509
Publication date: 2 November 1997
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1017913800810
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Stochastic integrals (60H05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items
Sobolev space and Dirichlet space associated with symmetric Markov process on a local field ⋮ P-adic weak central Morrey spaces on differential forms ⋮ Weighted inequalities for commutators of \(p\)-adic Hausdorff operators on Herz spaces ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Random processes on non-Archimedean spaces ⋮ Transition semi-groups on a local field induced by Galois group and their representation ⋮ Time-inhomogeneous stochastic processes on the \(p\)-adic number field ⋮ Convergences and projection Markov property of Markov processes on ultrametric spaces ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ Removal of potential theoretic exceptional set on the field of \(p\)-adic numbers ⋮ Weak solutions of stochastic differential equations over the field of \(p\)-adic numbers ⋮ \((r, p)\)-capacity and Hausdorff measure on a local field ⋮ Ultrametric and tree potential ⋮ Stochastic \(p\)-adic equations of mathematical physics ⋮ The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces
