## Remarks on restriction eigenfunctions in Cn

Gabriela Putinar and Mihai Putinar

### Abstract

An elementary inquiry, based on examples and counterexamples, of some qualitative properties of doubly orthogonal systems of analytic functions on domains in $\mathbf C^n$ leads to a better understanding of the deviation from the classical Hardy space of the disk setting. The main results relay on Hilbert space with reproducing kernel techniques.

Full Text (PDF) [215 KB]

### Key words

Hilbert space with reproducing kernel, restriction operator, doubly orthogonal system, min-max principle

### AMS subject classifications

47A75, 32A25, 65F15

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