Volume 25, pp. 393-408, 2006.

Remarks on restriction eigenfunctions in ${\mathbf{C}}^n$

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.

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Key words

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

AMS subject classifications

47A75, 32A25, 65F15