A local two radii theorem on the Chébli–Trimèche hypergroup

详细信息    查看全文

• 作者：B. Selmi ; M.M. Nessibi
• 关键词：Ché ; bli– ; Trim&#xe8 ; che hypergroup ; Bessel– ; Kingmann hypergroup ; Jacobi hypergroup ; Generalized convolution ; Mean-periodic-functions ; Pompeiu problem ; Two radii theorem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2007
• 出版时间：1 May 2007
• 年：2007
• 卷：329
• 期：1
• 页码：163-190
• 全文大小：253 K

文摘

Let <a name=""mml1""><a style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4KFV3R7-4&_mathId=mml1&_user=10&_cdi=6894&_rdoc=13&_acct=C000050221&_version=1&_userid=10&md5=097ed3e360977e218dbbcae200acb4a5"" title=""Click to view the MathML source"">0<r₁<r₂<r₁+r₂<R. It is given a necessary and sufficient condition so that the null function is the unique solution <a name=""mml2""> of the system

argin-left: 25 !important; width: 600px !important"">

able width=""100 % "" border=""0"">align=""center"">align=""center"" width=""95 % ""><a name=""fd001""><a name=""mml3"">align: right; vertical-align:middle;"" width=""5 % "">(1)able>

argin-left: 25 !important; width: 600px !important""> where <a name=""mml4""> is the Haar measure and <a name=""mml5""><a style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4KFV3R7-4&_mathId=mml5&_user=10&_cdi=6894&_rdoc=13&_acct=C000050221&_version=1&_userid=10&md5=9b0b570621482638743b98c18f1cf8cc"" title=""Click to view the MathML source"">T_x is the x-translation operator on the Chébli–Trim&#xe8;che hypergroup. The result obtained is especially available for Bessel–Kingmann and Jacobi hypergroups.