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A Levi–Civita Equation on Monoids, Two Ways Cover
By: Bruce Ebanks  
Open Access
|May 2022

References

  1. [1] B. Ebanks, Generalized sine and cosine addition laws and a Levi–Civita functional equation on monoids, Results Math. 76 (2021), no. 1, Paper No. 16, 15 pp.10.1007/s00025-020-01320-2
  2. [2] B. Ebanks, The sine addition and subtraction formulas on semigroups, Acta Math. Hungar. 164 (2021), no. 2, 533–555.
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  5. [5] B. Ebanks, C.T. Ng, Levi–Civita functional equations and the status of spectral synthesis on semigroups - II, Semigroup Forum (2022), DOI: 10.1007/s00233-021-10248-0.10.1007/s00233-021-10248-0
  6. [6] M.A. McKiernan, Equations of the form H(x ∘ y) = Σi fi(x)gi(y), Aequationes Math. 16 (1977), no. 1-2, 51–58.
  7. [7] H. Stetkær, Functional Equations on Groups, World Scientific, Singapore, 2013.10.1142/8830
  8. [8] H. Stetkær, Extensions of the sine addition law on groups, Aequationes Math. 93 (2019), no. 2, 467–484.
  9. [9] L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific, Singapore, 1991.10.1142/1406
DOI: https://doi.org/10.2478/amsil-2022-0009 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 151 - 166
Submitted on: Dec 12, 2021
Accepted on: Apr 23, 2022
Published on: May 12, 2022
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Bruce Ebanks, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.