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On a class of shifts and shift semigroups of finite multiplicities

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Abstract

A new construction of unilateral discrete shifts of finite multiplicities is presented. This then leads to the generation of a class of shift semigroups of finite multiplicities, in particular, Laguerre shift semigroups over the function spaceL 2 (0, ∞). Moreover, it will be shown that a shift semigroup always has an associated abstract potential operator.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of California, 56-125B ENGR.IV, 90024-1594, Los Angeles, CA, USA

    Nhan Levan

  2. Department of Applied Mathematics, Faculty of Engineering, Kobe University, Nada, 657, Kobe, Japan

    Takao Nambu

Authors
  1. Nhan Levan
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  2. Takao Nambu
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Levan, N., Nambu, T. On a class of shifts and shift semigroups of finite multiplicities. Japan J. Indust. Appl. Math. 13, 93–105 (1996). https://doi.org/10.1007/BF03167300

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  • DOI: https://doi.org/10.1007/BF03167300

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