Global well‐posedness of space‐time fractional diffusion equation with Rockland operator on graded lie group
A Dasgupta, M Ruzhansky… - Mathematical Methods in …, 2024 - Wiley Online Library
In this article, we examine the general space‐time fractional diffusion equation for left‐
invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers …
invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers …
Non-harmonic analysis of the wave equation for Schr\"{o} dinger operators with complex potential
This article investigates the wave equation for the Schr\"{o} dinger operator on $\mathbb
{R}^{n} $, denoted as $\mathcal {H} _0:=-\Delta+ V $, where $\Delta $ is the standard …
{R}^{n} $, denoted as $\mathcal {H} _0:=-\Delta+ V $, where $\Delta $ is the standard …
Linear Canonical Jacobi-Dunkl Transform: Theory and Applications
RQ Linghua, BZ Li - arXiv preprint arXiv:2409.18979, 2024 - arxiv.org
This paper aims to develop an innovative method for harmonic analysis by introducing the
linear canonical Jacobi-Dunkl transform (LCJDT), which integrates both the Jacobi-Dunkl …
linear canonical Jacobi-Dunkl transform (LCJDT), which integrates both the Jacobi-Dunkl …