Quantizations and symbolic calculus over the \(p\)-adic numbers

DOI10.5802/aif.1363zbMath0974.22009OpenAlexW2317148399MaRDI QIDQ1318004

Shai M. J. Haran

Publication date: 21 February 1996

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_4_997_0

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) General mathematical topics and methods in quantum theory (81Q99) Analysis on (p)-adic Lie groups (22E35) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (16)

Besov space and trace theorem on a local field and its application ⋮ \({\mathfrak p}\)-adic pseudodifferential calculus ⋮ Quasi-Banach modulation spaces and localization operators on locally compact abelian groups ⋮ Quantization of the affine group of a local field ⋮ Pseudo-differential operators with semi-quasielliptic symbols over \(p\)-adic fields ⋮ Totally disconnected and locally compact Heisenberg-Weyl groups ⋮ On Fréchet-Hilbert algebras ⋮ Heat Traces and Spectral Zeta Functions for $p$-adic Laplacians ⋮ Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields ⋮ A lift of spatially inhomogeneous Markov process to extensions of the field of \(p\)-adic numbers ⋮ Fractal theoretic aspects of local field ⋮ \(p\)-adic analogue of the porous medium equation ⋮ Hörmander classes of pseudo-differential operators over the compact group of \(p\)-adic integers ⋮ Boundedness for Pseudo-differential Calculus on Nilpotent Lie Groups ⋮ Quantum mechanics on ${\mathbb Q}/{\mathbb Z}$Q/Z ⋮ Local well-posedness of the Cauchy problem for a \(p\)-adic Nagumo-type equation

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