Interaction Measures on the Space of Distributions over the Field of p-Adic Numbers

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dc.creatorKochubei, Anatoly N.
dc.creatorSait-Ametov, Mustafa R.
dc.date2003-08-29
dc.date.accessioned2026-07-07T04:30:30Z
dc.date.available2026-07-07T04:30:30Z
dc.descriptionWe construct measures on the space $\mathcal D'(Q_p^n)$, $n\le 4$, of Bruhat-Schwartz distributions over the field of $p$-adic numbers, corresponding to finite volume polynomial interactions in a $p$-adic analog of the Euclidean quantum field theory. In contrast to earlier results in this direction, our choice of the free measure is the Gaussian measure corresponding to an elliptic pseudo-differential operator over $Q_p^n$. Analogs of the Euclidean $P(ϕ)$-theories with free and half-Dirichlet boundary conditions are considered.
dc.descriptionTo appear in "Infinite Dimensional Analysis, Quantum Probability and Related Topics"
dc.identifierhttps://arxiv.org/abs/math-ph/0308042
dc.identifierhttp://arxiv.org/abs/math-ph/0308042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57487
dc.subjectMathematical Physics
dc.subject81T08; 11S80; 11Z05; 28C20; 60B11
dc.titleInteraction Measures on the Space of Distributions over the Field of p-Adic Numbers
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