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A multiplicative convolution on the spectra of algebras of symmetric analytic functions

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Abstract

We introduce a multiplicative convolution operation in the spectrum of the algebra of symmetric analytic functions of bounded type on the space \(\ell _1\) that allows us to solve an open question concerning its representation in terms of entire functions of exponential type.

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Acknowledgments

We thank the referees for their useful comments.

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Authors and Affiliations

  1. Institute for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences,  3 B, Naukova str., Lviv, 79060, Ukraine

    Irina Chernega

  2. Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, Burjasot, 46100 , Valencia, Spain

    Pablo Galindo

  3. Vasyl Stefanyk Precarpathian National University, 57 Shevchenka Str., Ivano-Frankivsk, 76000, Ukraine

    Andriy Zagorodnyuk

Authors
  1. Irina Chernega
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  2. Pablo Galindo
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  3. Andriy Zagorodnyuk
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Corresponding author

Correspondence to Pablo Galindo.

Additional information

Chernega and Zagorodnuyk supported by Grant F35/531-2011 of DFFD of Ukraine. Galindo supported partially by Project MEC2011-22457.

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Chernega, I., Galindo, P. & Zagorodnyuk, A. A multiplicative convolution on the spectra of algebras of symmetric analytic functions. Rev Mat Complut 27, 575–585 (2014). https://doi.org/10.1007/s13163-013-0128-0

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  • DOI: https://doi.org/10.1007/s13163-013-0128-0

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