Tatsuro Hikawa

collaborators

3 papers

math.RT2026

The Schwartz space for the $(k, a)$ -generalized Fourier transform and the minimal representation of the conformal group

Tatsuro Hikawa

This paper studies an analog of the classical Schwartz space $S (R^{N})$ in the framework of $(k, a)$ -deformed harmonic analysis associated with the $(k, a)$ -…

math.RT2026

Contraction of the $sl_{2}$ -Triple Associated to the $(k, a)$ -Generalized Fourier Transform

Tatsuro Hikawa

Ben Sa\"Ä±d-Kobayashi-Orsted introduced a family of $sl_{2}$ -triples of differential-difference operators $H_{k, a}$ , $E_{k, a}^{+}$ and $ \mathbb{E}^-…

math.RT2025

$(k, a)$ -generalized Fourier transform with negative $a$

Tatsuro Hikawa

The $(k, a)$ -generalized Fourier transform $F_{k, a}$ introduced by Ben SaÃ¯d--Kobayashi--Ãrsted is a deformation family of the classical Fourier transform with a Du…

The Schwartz space for the (k,a)-generalized Fourier transform and the minimal representation of the conformal group

Contraction of the sl2​-Triple Associated to the (k,a)-Generalized Fourier Transform

(k,a)-generalized Fourier transform with negative a

The Schwartz space for the $(k, a)$ -generalized Fourier transform and the minimal representation of the conformal group

Contraction of the $sl_{2}$ -Triple Associated to the $(k, a)$ -Generalized Fourier Transform

$(k, a)$ -generalized Fourier transform with negative $a$