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On fractional resolvent operator functions

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Abstract

In this paper we introduce three kinds of resolvent families defined by purely algebraic equations, which extend the classical semigroup property and Cosine functional equation. We give their basic properties and analyticity criteria. Moreover, the relations between integrated resolvent families and resolvent families are discussed as well.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Chuang Chen & Miao Li

Authors
  1. Chuang Chen
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  2. Miao Li
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Corresponding author

Correspondence to Chuang Chen.

Additional information

Communicated by Jerome A. Goldstein.

This project was supported by the NSFC-RFBR programm (No. 108011120015) and the NSF of China (Grant No. 10971146).

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Chen, C., Li, M. On fractional resolvent operator functions. Semigroup Forum 80, 121–142 (2010). https://doi.org/10.1007/s00233-009-9184-7

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  • DOI: https://doi.org/10.1007/s00233-009-9184-7

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