A. Khrennikov

most citedp-Adic Schrödinger-Type Operator with Point Interactions

12 citations · 12 across the 2 of their papers we have counts for

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math-ph2007★ 12 cited

p-Adic Schrödinger-Type Operator with Point Interactions

S. Albeverio, S. Kuzhel, S. Torba

A $p$ -adic Schrödinger-type operator $D^{α} + V_{Y}$ is studied. $D^{α}$ ( $α > 0$ ) is the operator of fractional differentiation and $V_{Y} = \sum_{i, j = 1}^{n} b_{ij} < δ_{x_{j}}, \cdot > δ_{x_{i}}$ $(b_{ij…

math-ph2005

p-Adic analysis in the Lizorkin type spaces: fractional operators, pseudo-differential equations and Tauberian theorems

S. Albeverio, A. Yu. Khrennikov, V. M. Shelkovich

In this paper the p -adic Lizorkin spaces of test functions and distributions are introduced, and multidimensional Vladimirov's and Taibleson's fractional operators are studied on…