Invariant subspaces on KPC-hypergroups
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 1, pp. 122-130 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, we study translation invariant function spaces and spectral analysis on KPC-hypergroups and describe a correspondence between ideals in the algebra of compactly supported measures and varieties of continuous functions on a KPC-hypergroup.
@article{JMAG_2019_15_1_a4,
     author = {L\'asz\'o Sz\'ekelyhidi and Seyyed Mohammad Tabatabaie},
     title = {Invariant subspaces on {KPC-hypergroups}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {122--130},
     year = {2019},
     volume = {15},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2019_15_1_a4/}
}
TY  - JOUR
AU  - Lászó Székelyhidi
AU  - Seyyed Mohammad Tabatabaie
TI  - Invariant subspaces on KPC-hypergroups
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2019
SP  - 122
EP  - 130
VL  - 15
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2019_15_1_a4/
LA  - en
ID  - JMAG_2019_15_1_a4
ER  - 
%0 Journal Article
%A Lászó Székelyhidi
%A Seyyed Mohammad Tabatabaie
%T Invariant subspaces on KPC-hypergroups
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2019
%P 122-130
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2019_15_1_a4/
%G en
%F JMAG_2019_15_1_a4
Lászó Székelyhidi; Seyyed Mohammad Tabatabaie. Invariant subspaces on KPC-hypergroups. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 1, pp. 122-130. http://geodesic.mathdoc.fr/item/JMAG_2019_15_1_a4/

[1] W.R. Bloom, H. Heyer, Harmonic Analysis of Probability Measures on Hypergroups, De Gruyter, Berlin, 1995 | MR | Zbl

[2] J.B. Conway, A Course in Point Set Topology, Springer, Cham, 2014 | MR | Zbl

[3] C.F. Dunkl, “The measure algebra of a locally compact hypergroup”, Trans. Amer. Math. Soc., 179 (1973), 331–348 | DOI | MR | Zbl

[4] R.I. Jewett, “Spaces with an abstract convolution of measures”, Adv. Math., 18 (1975), 1–101 | DOI | MR | Zbl

[5] A.A. Kalyuzhnyi, G.B. Podkolzin, Yu.A. Chapovski, “Harmonic analysis on a locally compact hypergroup”, Methods Funct. Anal. Topology, 16 (2010), 304–332 | MR | Zbl

[6] R. Spector, “Measures invariantes sur les hypergroups”, Trans. Amer. Math. Soc., 239 (1978), 147–165 | DOI | MR | Zbl

[7] L. Székelyhidi, “Spectral analysis and spectral synthesis on polynomial hypergroups”, Monats. Math., 141 (2004), 33–43 | DOI | MR | Zbl

[8] L. Székelyhidi, “Spectral synthesis on multivariate polynomial”, Monats. Math., 153 (2008), 145–152 | DOI | MR | Zbl

[9] L. Székelyhidi, “Spectral synthesis problems on locally compact groups”, Monats. Math., 161 (2010), 223–232 | DOI | MR | Zbl

[10] L. Székelyhidi, “Exponential polynomials on commutative hypergroups”, Arch. Math., 101:4 (2013), 341–347 | DOI | MR | Zbl

[11] L. Székelyhidi, “Spectral synthesis problems on hypergroups”, Annales Univ. Sci. Budapest., Sect. Comp., 39 (2013), 439–447 | MR | Zbl

[12] L. Székelyhidi, “Characterization of exponential polynomials on hypergroups”, Ann. Funct. Anal., 5:2 (2014), 53–60 | DOI | MR | Zbl

[13] S.M. Tabatabaie, F. Haghighifar, “The weighted KPC–hypergroups”, Gen. Math. Notes, 34 (2016), 29–38

[14] S.M. Tabatabaie, F. Haghighifar, “The associated measure on locally compact cocommutative KPC-hypergroups”, Bull. Iran. Math. Soc., 43 (2017), 1–15 | MR | Zbl

[15] S.M. Tabatabaie, F. Haghighifar, “Translation invariant mappings on KPC-hypergroups”, Int. J. Nonlinear Anal. Appl., 8:2 (2017), 99–107 | Zbl