PreprintCC BY-NC-SA 4.0arXiv
A Pseudo-Differential Operator of the p-Adic Multiplicative Calculus
Abstract
We introduce and study a pseudo-differential operator Wα, defined via the p-adic Mellin transformation, acting on real- or complex-valued functions on the multiplicative group of the field of p-adic numbers. The operator Wα is maximally dissipative. An estimate of its heat kernel is given.
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BibTeX
@misc{antoniouk2026pseudodifferential,
title = {{A Pseudo-Differential Operator of the $p$-Adic Multiplicative Calculus}},
author = {Alexandra V. Antoniouk and Anatoly N. Kochubei and Mariia V. Serdiuk},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.23256},
eprint = {2607.23256},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.23256},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - A Pseudo-Differential Operator of the p-Adic Multiplicative Calculus
AU - Alexandra V. Antoniouk
AU - Anatoly N. Kochubei
AU - Mariia V. Serdiuk
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2607.23256
UR - https://arxiv.org/abs/2607.23256
AB - We introduce and study a pseudo-differential operator W^α, defined via the p-adic Mellin transformation, acting on real- or complex-valued functions on the multiplicative group of the field of p-adic numbers. The operator W^α is maximally dissipative. An estimate of its heat kernel is given.
ER -