Abstract
The theory of reproducing kernels goes back 100 years. Key players were Bochner, Bergman, and Szegö. Their ideas are still studied today.
Indeed, the Bergman kernel plaid a key role in the Fields-Medal-winning work of Charles Fefferman. Bergman’s kernel, metric, and representative coordinates continue to be areas of intense study.
Here we introduce the reader to this circle of ideas, and especially to the multiple-variable theory.
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Krantz, S.G. (2017). Reproducing Kernels. In: Harmonic and Complex Analysis in Several Variables. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-63231-5_5
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DOI: https://doi.org/10.1007/978-3-319-63231-5_5
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