Ratios of harmonic functions with the same zero set-Reference-Cited by-同舟云学术

Ratios of harmonic functions with the same zero set

Published:2016-06 Issue:3 Volume:26 Page:909-925
ISSN:1016-443X
Container-title:Geometric and Functional Analysis
language:en
Short-container-title:Geom. Funct. Anal.

Author:

Logunov Alexander,Malinnikova Eugenia

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00039-016-0369-4.pdf

Reference14 articles.

1. M. Agranovsky. Ruled nodal surfaces of Laplace eigenfunctions and injectivity sets for the spherical mean Radon transform in $${\mathbb{R}^3}$$ R 3 Journal of Spectral Theory (to appear). arXiv:1504.01250 .

2. Armitage D. H., Gardiner S. J.: Classical Potential Theory. Springer, Berlin (2001)

3. Bourgain J., Rudnick Z.: On the nodal sets of toral eigenfunction. Inventiones Mathematicae 185, 199–237 (2011)

4. D. A. Brannan, W. H. J. Fuchs, W. K. Hayman and Ü. Kuran. A characterization of harmonic polynomials in the plane. Proceedings of London Mathematical Society, (3)32 (1976), 213–229.

5. Han Q.: Nodal sets of harmonic functions. Pure and Applied Mathematics Quarterly 3, 647–688 (2007)

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