Volume 25, pp. 393-408, 2006.

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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