Wentao Teng

activity

20192025

(k, 1)

-generalized harmonic oscillator

4 citations · 4 across the 2 of their papers we have counts for

collaborators

4 papers

math.CA2025

A positive product formula of integral kernels of $k$ -Hankel transforms

Wentao Teng

The $k$ -Hankel transform $F_{k, 1}$ (or the $(k, 1)$ -generalized Fourier transform) is the Dunkl analogue of the unitary inversion operator in the minimal representation of a conform…

math.CA2021★ 4 cited

Imaginary powers of $(k, 1)$ -generalized harmonic oscillator

Wentao Teng

In this paper we will define and investigate the imaginary powers $(- △_{k, 1})^{- iσ}, σ \in R$ of the $(k, 1)$ -generalized harmonic oscillator $-\triangle_{k…

math.CA2020

Hardy inequalities for fractional $(k, a)$ -generalized harmonic oscillator

Wentao Teng

In this paper, we will define $a$ -deformed Laguerre operators $L_{a, α}$ and $a$ -deformed Laguerre holomorphic semigroups on $L^{2} ((0, \infty), d μ_{a, α})$ . Then w…

math.FA2019

Dunkl translations, Dunkl-type $B M O$ space and Riesz transforms for Dunkl transform on $L^{\infty}$

Wentao Teng

In this paper, we will give some results on the support of Dunkl translations on compactly supported functions. Then we will define Dunkl-type $B M O$ space and Riesz transforms for…

A positive product formula of integral kernels of k-Hankel transforms

Imaginary powers of (k,1)-generalized harmonic oscillator

Hardy inequalities for fractional (k,a)-generalized harmonic oscillator

Dunkl translations, Dunkl-type BMO space and Riesz transforms for Dunkl transform on L∞

A positive product formula of integral kernels of $k$ -Hankel transforms

Imaginary powers of $(k, 1)$ -generalized harmonic oscillator

Hardy inequalities for fractional $(k, a)$ -generalized harmonic oscillator

Dunkl translations, Dunkl-type $B M O$ space and Riesz transforms for Dunkl transform on $L^{\infty}$