?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups
In this paper we define ?-independent (a weak-version of independence), Kronecker and dissociate sets on hypergroups and study their properties and relationships among them and some other thin sets such as independent and Sidon sets. These sets have the lacunarity or thinness property and are very u...
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| Format: | Article |
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| Language: | English |
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University of Tehran
2008-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31890_f61bf3f38bbe3c501ca3b549b5738e34.pdf |
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| collection | DOAJ |
| description | In this paper we define ?-independent (a weak-version of independence), Kronecker and dissociate sets on hypergroups and study their properties and relationships among them and some other thin sets such as independent and Sidon sets. These sets have the lacunarity or thinness property and are very useful indeed. For example Varopoulos used the Kronecker sets to prove the Malliavin theorem. In the final section we bring some examples and find ?-independent and dissociate sets on a compact countable hypergroup of Dunkle and Ramirez, the dual Chebychev polynomial hypergroup, and some other polynomial hypergroups from Lasser. |
| format | Article |
| id | doaj-art-c9220b5d48d2407d9641bdf44f75874c |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2008-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-c9220b5d48d2407d9641bdf44f75874c2025-08-20T03:08:48ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142008-09-0119231890?-Independent and Dissociate Sets on Compact Commutative Strong HypergroupsIn this paper we define ?-independent (a weak-version of independence), Kronecker and dissociate sets on hypergroups and study their properties and relationships among them and some other thin sets such as independent and Sidon sets. These sets have the lacunarity or thinness property and are very useful indeed. For example Varopoulos used the Kronecker sets to prove the Malliavin theorem. In the final section we bring some examples and find ?-independent and dissociate sets on a compact countable hypergroup of Dunkle and Ramirez, the dual Chebychev polynomial hypergroup, and some other polynomial hypergroups from Lasser.https://jsciences.ut.ac.ir/article_31890_f61bf3f38bbe3c501ca3b549b5738e34.pdf |
| spellingShingle | ?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups Journal of Sciences, Islamic Republic of Iran |
| title | ?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups |
| title_full | ?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups |
| title_fullStr | ?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups |
| title_full_unstemmed | ?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups |
| title_short | ?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups |
| title_sort | independent and dissociate sets on compact commutative strong hypergroups |
| url | https://jsciences.ut.ac.ir/article_31890_f61bf3f38bbe3c501ca3b549b5738e34.pdf |