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arXiv · 2603.21472

Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type

Ryosuke Nakahama
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Abstract

We consider a tensor product of two spaces of holomorphic functions on a Hermitian symmetric space of tube type. Then generically this is decomposed into a direct sum of irreducible subrepresentations. In this manuscript, we construct the intertwining operator (holographic operator) from each irreducible summand to the tensor product as an integral operator. This gives a generalization of the result by Kobayashi--Pevzner (2020).

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BibTeXRIS

Ryosuke Nakahama. 2026-03-23. Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type. https://arxiv.org/abs/2603.21472

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