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Volume 14, Issue 1 (2022) , Pages [1] - [119]

ON PERFECT HYPERGROUPS 

[1] W. R. Bloom and H. Heyer, Harmonic Analysis of Probability Measures on Hypergroups, de Gruyter, Berlin, 1995.

 

DOI: https://doi.org/10.1515/9783110877595

 

[2] C. F. Dunkl, The measure algebra of a locally compact hypergroup, Transactions of the American Mathematical Society 179 (1973), 331-348.

 

DOI: https://doi.org/10.1090/S0002-9947-1973-0320635-2

 

[3] R. I. Jewett, Spaces with an abstract convolution of measures, Advances in Mathematics 18(1) (1975), 1-101.

 

DOI: https://doi.org/10.1016/0001-8708(75)90002-X

 

[4] R. Spector, Apercu de la Theorie des Hypergroups: in Analyse Harmonique sur les Groups de Lie, Lecture Notes in Mathematics, 497, Springer-Verlag, New York, 1975.

 

DOI: https://doi.org/10.1007/BFb0078026

 

[5] H. A. Ghany, Harmonic analysis in the product of commutative hypercomplex systems, Journal of Computational Analysis and Applications 25(5) (2018), 875-888.

 

[6] A. S. Okb El Bab and H. A. Ghany, Harmonic analysis on hypergroups, AIP Conference Proceedings 1309 (2010), 312-320.

 

DOI: https://doi.org/10.1063/1.3525130

 

[7] C. Berg, J. P. R. Christensen and P. Ressel, Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions, Graduated Texts in Mathematics, 100, Springer-Verlag, Berlin-Heidelberg-New-York, 1984.

 

DOI: https://doi.org/10.1007/978-1-4612-1128-0

 

[8] A. S. Okb El Bab and H. A. Ghany, The moment problem on perfect hypergroups, Physics Essays 29(2) (2016), 232-236.

 

DOI: https://doi.org/10.4006/0836-1398-29.2.232

 

[9] Zheng Kou, Saeed Kosari, Mohammadsadegh Monemrad, Maryam Akhoundi and Saber Omidi, A note on the connection between ordered semihyperrings, Symmetry 13(11) (2021); Article 2035.

 

DOI: https://doi.org/10.3390/sym13112035

 

[10] Yongsheng Rao, Peng Xu, Zehui Shao, Saeed Kosari and Saber Omidi, Some properties of relative bi-(int-)G-hyperideals in ordered G-semihypergroups, Frontiers in Physics 8 (2020); Article 555573.

 

DOI: https://doi.org/10.3389/fphy.2020.555573

 

[11] Z. Shao, X. Chen, S. Kosari and S. Omidi, On some properties of right pure (bi-quasi-)hyperideals in ordered semihyperrings, University Politehnica of Bucharest Scientific Bulletin, Series A: Applied Mathematics and Physics 83(4) (2021), 95-104.