Positive Integral Kernels for Polar Derivatives

Putinar, Mihai; Shimorin, Serguei

doi:10.1007/978-3-030-14640-5_10

Mihai Putinar^5,6 &
Serguei Shimorin⁷

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The non-negativity on the unit disk of the real part of the polar derivative of a polynomial is proved via an integral representation with a positive kernel, or as a consequence of a weighted sum of hermitian squares decomposition.

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Authors and Affiliations

Department of Mathematics, University of California at Santa Barbara, Santa Barbara, CA, USA
Mihai Putinar
Mathematics Department, Newcastle University, Newcastle upon Tyne, UK
Mihai Putinar
Mathematics Department, The Royal Institute of Technology, Stockholm, Sweden
Serguei Shimorin

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Mihai Putinar
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Serguei Shimorin
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Correspondence to Mihai Putinar .

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Editors and Affiliations

Mathematics Department, Lund University, Lund, Sweden
Alexandru Aleman
Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden
Haakan Hedenmalm
Department of Mathematics, University of South California, Tampa, FL, USA
Dmitry Khavinson
Mathematics Department, University of California, Santa Barbara, CA, USA
Mihai Putinar

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Putinar, M., Shimorin, S. (2019). Positive Integral Kernels for Polar Derivatives. In: Aleman, A., Hedenmalm, H., Khavinson, D., Putinar, M. (eds) Analysis of Operators on Function Spaces. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-14640-5_10

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DOI: https://doi.org/10.1007/978-3-030-14640-5_10
Published: 31 May 2019
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-14639-9
Online ISBN: 978-3-030-14640-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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