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The Cosine-Sine Functional Equation on Semigroups Cover

The Cosine-Sine Functional Equation on Semigroups

By: Bruce Ebanks  
Open Access
|Oct 2021

References

  1. [1] J.K. Chung, Pl. Kannappan, and C.T. Ng, A generalization of the cosine-sine functional equation on groups, Linear Algebra Appl. 66 (1985), 259–277.10.1016/0024-3795(85)90137-5
  2. [2] B. Ebanks, Some trigonometric functional equations on monoids generated by their squares, Aequationes Math. 95 (2021), 383–391.10.1007/s00010-020-00730-5
  3. [3] B. Ebanks, The cosine and sine addition and subtraction formulas on semigroups, Acta Math. Hungar. (2021). DOI: 10.1007/s10474-021-01167-110.1007/s10474-021-01167-1
  4. [4] B. Ebanks, C.T. Ng, Levi-Civita functional equations and the status of spectral synthesis on semigroups, Semigroup Forum 103 (2021), 469–494.10.1007/s00233-021-10211-z
  5. [5] H. Stetkær, Functional Equations on Groups, World Scientific, Singapore, 2013.10.1142/8830
  6. [6] H. Stetkær, A Levi-Civita functional equation on semigroups, (manuscript received July 30, 2020).
  7. [7] L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific, Singapore, 1991.10.1142/1406
DOI: https://doi.org/10.2478/amsil-2021-0012 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 30 - 52
Submitted on: May 14, 2021
Accepted on: Aug 19, 2021
Published on: Oct 5, 2021
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2021 Bruce Ebanks, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.