Bull. Korean Math. Soc. 2016; 53(3): 821-831
Printed May 31, 2016
https://doi.org/10.4134/BKMS.b150355
Copyright © The Korean Mathematical Society.
Mihai Putinar
Newcastle University
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
MSC numbers: 11E25, 47B20, 30C20
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