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Pointwise bound of SO(d,C) -invariant holomorphic functions which are square-integrable with respect to a gaussian measure |
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| รหัสดีโอไอ | |
| Title | Pointwise bound of SO(d,C) -invariant holomorphic functions which are square-integrable with respect to a gaussian measure |
| Creator | Areerak Kaewthep |
| Contributor | Wicharn Lewkeeratiyutkul, Hall, Brain C. |
| Publisher | Chulalongkorn University |
| Publication Year | 2548 |
| Keyword | Holomorphic function, Gaussian measure |
| Abstract | The Segal-Bargmenn space HL[superscript2] (C[superscript d], u[subscriptt]) has been extensively studied. Here, we consider the space HL[superscript2] (C[superscriptd], u[subscriptt]) [superscrptSO(d,C) consisting of all functions F in HL[superscript2](C[superscript d, u[subscript t]) which are invariant under the action of the complex special orthogonal group SO(d,C). It is a closed subspace of HL[superscript2] (C[superscript d], u[subscript t]), and hence is a Hilbert space. In this work, we establish a pointwise bound for a function in this space. |
| ISBN | 9745325775 |
| URL Website | cuir.car.chula.ac.th |
