Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$

Sneha B; Jaydeb Sarkar; Michio Seto

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arXiv · 2605.25575

Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$

Sneha B·Jaydeb Sarkar·Michio Seto

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Abstract

It is known that invariant subspaces of classical Jordan blocks of the Hardy space over the open unit disc are described by factorizations of inner functions. In the polydisc setting, Jordan blocks are tensor products of one-variable Jordan blocks. We provide representations of their doubly commuting invariant subspaces.

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Sneha B, Jaydeb Sarkar, Michio Seto. 2026-05-25. Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$. https://arxiv.org/abs/2605.25575

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