| Admissible wavelets on the generalized Weyl Heisenberg group |
| کد مقاله : 1005-SHAA |
| نویسندگان |
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فاطمه اسمعیل زاده * دانشگاه آزاد اسلامی واحد بجنورد |
| چکیده مقاله |
| Let $H$ and $K$ be locally compact groups and $K$ be abelian, $tau:H rightarrow Aut(K)$ be a continuous homomorphism, let $G_tau=H times_tau K$ be semi direct product group of $H$ and $K$ with respect to the continuous homomorphism $tau$. Consider the generalized Weyl Heisenberg group $mathbb{H}(G_tau)$ associated with the semi direct product group $G_tau$. We obtain two square integrable representations on $mathbb{H}(G_tau)$ which are unitarily equivalent. |
| کلیدواژه ها |
| Generalized Weyl Heisenberg, square integrable representation, irreducible representation, admissible wavelets. |
| وضعیت: پذیرفته شده برای ارائه شفاهی |