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Dual Integrable Representations of Hypergroups

Seyyed Mohammad Tabatabaie|Soheila Jokar
경북대학교 자연과학대학 수학과|2022.12|Kyungpook Mathematical Journal|제62권 제4호|pp. 689-697|DOI 10.5666/KMJ.2022.62.4.689

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키워드

framelocally compact grouplocally compact hypergroupdual integrable representationleft regular representation
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초록

In this paper, we study dual integrable representations of locally compact commutative hypergroups and give a sufficient and necessary condition for a dual integrable representation to have an admissible vector.

Abstract

In this paper, we study dual integrable representations of locally compact commutative hypergroups and give a sufficient and necessary condition for a dual integrable representation to have an admissible vector.

참고문헌 (9)

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  3. A. K. Chilana, "Spectral synthesis in hypergroups", Pacific J. Math, 76(2), pp.313~328 (1978)
  4. G. B. Folland, "A Course in Abstract Harmonic Analysis" (1995), CRC Press
  5. V. S. Guliyev, "On fractional maximal function and fractional integral on the Laguerre hypergroup", J. Math. Anal. Appl, 340(2), pp.1058~1068 (2008)
  6. E. Hernandez, "Cyclic subspaces for uni-tary representations of LCA groups; generalized Zak transform", Colloq. Math, 118(1), pp.313~332 (2010)
  7. J. W. Iverson, "Subspaces of L2(G) invariant under Translation by an abelian Subgroup", J. Funct. Anal, 269(3), pp.865~913 (2015)
  8. R. I. Jewett, "Spaces with an abstract convolution of measures", Advances in Math, 18(1), pp.1~101 (1975)
  9. S. M. Tabatabaie, "A characterization of admissible vectors related to representations on hypergroups", Tbilisi Math. J, 10(4), pp.143~151 (2017)

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