The Experts below are selected from a list of 2565 Experts worldwide ranked by ideXlab platform
Parthasarathy Aprameyan - One of the best experts on this subject based on the ideXlab platform.
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Domains of Holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups
2016Co-Authors: Liu Gang, Parthasarathy AprameyanAbstract:In this note, we address a question raised by Kr\"otz on the classification of domains of Holomorphy of irreducible admissible Banach representations for connected non-compact simple real Lie groups G. When G is not of Hermitian type, we give a complete description of the domains of Holomorphy for irreducible admissible uniformly bounded representations on uniformly convex uniformly smooth Banach spaces and, in particular, for all irreducible uniformly bounded Hilbert representations. When the group G is Hermitian, we determine the domains of Holomorphy only when the representations considered are highest or lowest weight representations.Comment: Revised version, 7 page
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Domains of Holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups
HAL CCSD, 2015Co-Authors: Liu Gang, Parthasarathy AprameyanAbstract:7 pagesIn this note, we address a question asked by Kr\"otz on the classification of domains of Holomorphy of irreducible admissible Banach representations for simple real Lie groups. When $G$ is not of Hermitian type, and the representation is either irreducible uniformly bounded Hilbert or irreducible admissible isometric on a certain class of Banach spaces, we give a full answer. When the group $G$ is Hermitian, our results are only partial
Mirotin A. R. - One of the best experts on this subject based on the ideXlab platform.
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On multidimensional Bochner-Phillips functional calculus
2019Co-Authors: Mirotin A. R.Abstract:The functional calculus of semigroup generators, based on the class of Bernstein functions in several variables is developed, the condition for Holomorphy of semigroups, generated by operators which arisen in the calculus is given, and in the one-dimensional case the moment inequality for such operators is proved.Comment: in Russia
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On some properties of multidimensional Bochner-Phillips functional calculus
2019Co-Authors: Mirotin A. R.Abstract:The multidimensional functional calculus of semigroup generators, based on the class of Bernstein functions in several variables is developed, the spectral mapping theorems for joint spectra have been stated, the condition for Holomorphy of semigroups, generated by operators which arises in the calculus is given, and the moment inequality for such operators is proved.Comment: in Russia
Liyang Yang - One of the best experts on this subject based on the ideXlab platform.
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a coarse jacquet zagier trace formula for gl n with applications
arXiv: Number Theory, 2020Co-Authors: Liyang YangAbstract:In this paper we establish a coarse Jacquet-Zagier trace identity for GL$(n).$ We prove the absolute convergence when $\Re(s)>1$ and $0<\Re(s)<1;$ and obtain holomorphic continuation under almost all character twist. Moreover, as an application, we prove that Holomorphy of certain adjoint $L$-functions for GL$(n)$ implies Dedekind conjecture of degree $n$. Some nonvanishing results are also discussed.
Liu Gang - One of the best experts on this subject based on the ideXlab platform.
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Domains of Holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups
2016Co-Authors: Liu Gang, Parthasarathy AprameyanAbstract:In this note, we address a question raised by Kr\"otz on the classification of domains of Holomorphy of irreducible admissible Banach representations for connected non-compact simple real Lie groups G. When G is not of Hermitian type, we give a complete description of the domains of Holomorphy for irreducible admissible uniformly bounded representations on uniformly convex uniformly smooth Banach spaces and, in particular, for all irreducible uniformly bounded Hilbert representations. When the group G is Hermitian, we determine the domains of Holomorphy only when the representations considered are highest or lowest weight representations.Comment: Revised version, 7 page
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Domains of Holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups
HAL CCSD, 2015Co-Authors: Liu Gang, Parthasarathy AprameyanAbstract:7 pagesIn this note, we address a question asked by Kr\"otz on the classification of domains of Holomorphy of irreducible admissible Banach representations for simple real Lie groups. When $G$ is not of Hermitian type, and the representation is either irreducible uniformly bounded Hilbert or irreducible admissible isometric on a certain class of Banach spaces, we give a full answer. When the group $G$ is Hermitian, our results are only partial
Yang Liyang - One of the best experts on this subject based on the ideXlab platform.
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A Coarse Jacquet-Zagier Trace Formula for GL(n) with Applications
2021Co-Authors: Yang LiyangAbstract:In this thesis we establish a coarse Jacquet-Zagier trace identity fo GL(n). This formula connects adjoint L-functions on GL(n) with Artin L-functions attached to certain induced Galois representations. We prove the absolute convergence when Re(s) > 1, and obtain holomorphic continuation under almost all character twists. Moreover, as an application, we obtain that Holomorphy of certain adjoint L-functions for GL(n) implies Dedekind conjecture of degree n. Some nonvanishing results are also proved.