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Mihar Putinar and Harold S. Shapiro - The Friedrichs operator of a planar domain
| MIHAR PUTINAR AND HAROLD S. SHAPIRO, Royal Institute of Technology, S-10044 Stockholm, Sweden and Mathematics Department, University of California at Santa Barbara, Santa Barbara, California 93106, USA, | |
| The Friedrichs operator of a planar domain |
K. Friedrichs has interpreted some basic problems in plane elasticity theory into spectral problems of an antilinear operator (now called the Friedrichs operator), acting on the Bergman space of a bounded planar domain. We will discuss how the spectrum of the Friedrichs operator reflects the geometry of the domain; the corresponding inverse spectral problem will be shown to have incomplete data. Some related aspects of function theory and operator theory in the Bergman space of a planar domain will be also presented.
eo@camel.math.ca
