[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b150355

HERMITIAN ALGEBRA ON GENERALIZED LEMNISCATES

Putinar, Mihai (Department of Mathematics University of California at Santa Barbara, Newcastle University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.3, 2016 , pp. 821-831 More about this Journal

Abstract

A case study is added to our recent work on Quillen phenomenon. Pointwise positivity of polynomials on generalized lemniscates of the complex plane is related to sums of hermitian squares of rational functions, and via operator quantization, to essential subnormality.

Keywords

generalized lemniscate; positive polynomial; hermitian square; quadrature domain; subnormal operator;

Citations & Related Records

Reference

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