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We study the decomposition as an -module of the multiplicity space corresponding to the branching from to . Here, (resp. ) is considered embedded in in the upper left-hand block (resp. lower right-hand block). We show that when the highest weight of the irreducible representation of interlaces the highest weight of the irreducible representation of , then the multiplicity space decomposes as a tensor product of reducible representations of . 相似文献
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Abdallah Derbal 《Comptes Rendus Mathematique》2005,340(4):255-258
Let the functions and be number of unitary divisors (see below) and number of divisors n in arithmetic progressions ; k and l are integers relatively prime such that and let, for where is Euler's totient. The function has been studied in [A. Derbal, A. Smati, C. A. Acad. Sci. Paris, Ser. I 339 (2004) 87–90]. In this Note we study the functions and . We give explicitly their maximal orders and we compute effectively the maximum of for and that of for . To cite this article: A. Derbal, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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Tommaso Leonori Alessio Porretta 《Journal of Mathematical Analysis and Applications》2018,457(2):1492-1501
We prove a comparison principle for unbounded weak sub/super solutions of the equation where is a bounded coercive matrix with measurable ingredients, and has a super linear growth and is convex at infinity. We improve earlier results where the convexity of was required to hold globally. 相似文献
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《Discrete Mathematics》2007,307(17-18):2226-2234
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Let be an L-function which appears in the Langlands–Shahidi theory. We give a lower bound for when using Eisenstein series. This method is applicable even when is not known to be absolutely convergent for . To cite this article: S.S. Gelbart et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004). 相似文献
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《Discrete Mathematics》2006,306(19-20):2314-2326
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This work establishes and exploits a connection between the invariant measure of stochastic partial differential equations (SPDEs) and the law of bridge processes. Namely, it is shown that the invariant measure of , where is a space–time white-noise, is identical to the law of the bridge process associated to , provided that a and f are related by , . Some consequences of this connection are investigated, including the existence and properties of the invariant measure for the SPDE on the line, . To cite this article: M.G. Reznikoff, E. Vanden-Eijnden, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献