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Pointwise characterization of smooth functions within the dunkl-type segal-bargmann space |
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| รหัสดีโอไอ | |
| Title | Pointwise characterization of smooth functions within the dunkl-type segal-bargmann space |
| Creator | Sasikarn Yeepo |
| Contributor | Keng Wiboonton |
| Publisher | Chulalongkorn University |
| Publication Year | 2559 |
| Keyword | Hilbert space, Holomorphic functions, ปริภูมิฮิลเบิร์ต, ฟังก์ชันฮอลอมอร์ฟิก |
| Abstract | The Dunkl-type Segal-Bargmann space is the Hilbert space of holomorphic functions on ℂ of which even parts and odd parts are square-integrable with respect to certain measures related to the modified Bessel functions of the second kind. The Dunkl-type Segal-Bargmann space is then the (internal) direct sum of the even and odd subspaces. In this work, we characterize smooth functions in the Dunkl-type Segal-Bargmann space associated with the Dunkl operator. |
| URL Website | cuir.car.chula.ac.th |
