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Rigidity for Matrix-Valued Hardy Functions

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Abstract

This note presents a matricial generalization of the concept of rigid functions in the Hardy space H 1, and a spectral characterization of complete non-determinacy for multivariate stationary processes.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0811, Japan

    Yukio Kasahara

  2. Department of Mathematics, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    Akihiko Inoue

  3. Department of Statistics, Texas A&M University, College Station, TX, 77843, USA

    Mohsen Pourahmadi

Authors
  1. Yukio Kasahara
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  2. Akihiko Inoue
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  3. Mohsen Pourahmadi
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Corresponding author

Correspondence to Yukio Kasahara.

Additional information

Mohsen Pourahmadi was supported by the NSF Grant DMS-1309586.

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Kasahara, Y., Inoue, A. & Pourahmadi, M. Rigidity for Matrix-Valued Hardy Functions. Integr. Equ. Oper. Theory 84, 289–300 (2016). https://doi.org/10.1007/s00020-015-2265-y

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  • DOI: https://doi.org/10.1007/s00020-015-2265-y

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