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《Discrete Mathematics》2021,344(12):112618
For a finite group G and an inverse closed subset , the Cayley graph has vertex set G and two vertices are adjacent if and only if . Two graphs are called cospectral if their adjacency matrices have the same spectrum. Let be a prime number and be the dicyclic group of order 4p. In this paper, with the help of the characters from representation theory, we construct a large family of pairwise non-isomorphic and cospectral Cayley graphs over the dicyclic group with , and find several pairs of non-isomorphic and cospectral Cayley graphs for . 相似文献
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《Journal of Functional Analysis》2023,284(5):109798
We establish distributional estimates for noncommutative martingales, in the sense of decreasing rearrangements of the spectra of unbounded operators, which generalises the study of distributions of random variables. Our results include distributional versions of the noncommutative Stein, dual Doob, martingale transform and Burkholder-Gundy inequalities. Our proof relies upon new and powerful extrapolation theorems. As an application, we obtain some new martingale inequalities in symmetric quasi-Banach operator spaces and some interesting endpoint estimates. Our main approach demonstrates a method to build the noncommutative and classical probabilistic inequalities in an entirely operator theoretic way. 相似文献
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ON HILBERT BOUNDARY VALUE PROBLEMS WITH RADICAL 总被引:2,自引:1,他引:1
路见可 《数学物理学报(B辑英文版)》2005,25(4):755-760
The Hilbert boundary value problemRe{λ(t) P√ψ (t)} = c(t), t ∈ Lof normal type with Holder continuous coefficients is discussed, where Lis the unit circle |t| = 1,p ≥ 2 is any definite integer, Ψ (t) is the boundary value of the unknown function Ψ (z) holomorphic in |z| < 1 with single-valued continuous P√ψ (t)} on L. 相似文献
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The Ramanujan Journal - In 1985, Bressoud and Goulden derived the formula for the constant term in $$\prod _{(i,j)\in T} \frac{x_j}{x_i} \prod _{0\le i 相似文献
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We investigate the family of vertex-transitive graphs with diameter 2. Let Γ be such a graph.Suppose that its automorphism group is transitive on the set of ordered non-adjacent vertex pairs. Then either Γ is distance-transitive or Γ has girth at most 4. Moreover, if Γ has valency 2, then Γ≌ C4 or C5; and for any integer n ≥ 3, there exist such graphs Γ of valency n such that its automorphism group is not transitive on the set of arcs. Also, we determine this family of grap... 相似文献
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Science China Mathematics - We give characterizations of (quasi-)plurisubharmonic functions in terms of Lp-estimates of $\overline{\partial}$ and Lp-extensions of holomorphic functions. 相似文献