Nearly Holomorphic Functions and Relative Discrete Series of Weighted $L^2$-Spaces on Bounded Symmetric Domains

Genkai Zhang

arxiv: math/9911131 · v1 · submitted 1999-11-17 · 🧮 math.RT · math.CV

Nearly Holomorphic Functions and Relative Discrete Series of Weighted L²-Spaces on Bounded Symmetric Domains

Genkai Zhang This is my paper

classification 🧮 math.RT math.CV

keywords boundeddiscretefunctionsholomorphicnearlyrelativeseriesspaces

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We realize the relative discrete series of a weighted $L^2$-space on a bounded symmetric doamin as kernels of invariant Cauchy-Riemann operator, and thus as the spaces of nearly holomorphic functions.

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Nearly Holomorphic Functions and Relative Discrete Series of Weighted L²-Spaces on Bounded Symmetric Domains

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