Results 21 to 30 of about 12,491,734 (263)
Unified Theory of Zeta-Functions Allied to Epstein Zeta-Functions and Associated with Maass Forms
Mathematics, 2023 In this paper, we shall establish a hierarchy of functional equations (as a G-function hierarchy) by unifying zeta-functions that satisfy the Hecke functional equation and those corresponding to Maass forms in the framework of the ramified functional ...
Nianliang Wang +2 more
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Dirichlet forms and critical exponents on fractals [PDF]
Transactions of the American Mathematical Society, 2017 Let $B^{\sigma}_{2, \infty}$ denote the Besov space defined on a compact set $K \subset {\Bbb R}^d$ which is equipped with an $\alpha$-regular measure $\mu$. The {\it critical exponent} $\sigma^*$ is the supremum of the $\sigma$ such that $B^{\sigma}_{2,
Qingsong Gu, K. Lau
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Dirichlet forms and convergence of Besov norms on self-similar sets
Annales Academiae Scientiarum Fennicae: Mathematica, 2020 . Let B σ 2 , ∞ , B σ 2 , 2 denote the Besov spaces defined on a compact set K ⊂ R d that is equipped with an α -regular measure µ ( K is called an α -set). The critical exponent σ ∗ is the supremum of the σ such that B σ 2 , 2 ∩ C ( K ) is dense in C ( K
Qingsong Gu, K. Lau
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Local and non-local Dirichlet forms on the Sierpiński carpet [PDF]
Transactions of the American Mathematical Society, 2017 We give a purely analytic construction of a self-similar local regular Dirichlet form on the Sierpiński carpet using approximation of stable-like non-local closed forms which gives an answer to an open problem in analysis on fractals.
A. Grigor’yan, Meng Yang
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On the decomposition principle and a Persson type theorem for general regular Dirichlet forms [PDF]
Journal of Spectral Theory, 2017 We present a decomposition principle for general regular Dirichlet forms satisfying a spatial local compactness condition. We use the decomposition principle to derive a Persson type theorem for the corresponding Dirichlet forms.
D. Lenz, P. Stollmann
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Some Historical Aspects of Error Calculus by Dirichlet Forms [PDF]
, 2013 We discuss the main stages of development of the error calculation since the beginning of XIX-th century by insisting on what prefigures the use of Dirichlet forms and emphasizing the mathematical properties that make the use of Dirichlet forms more ...
Bouleau, Nicolas
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Boundary representation of Dirichlet forms on discrete spaces [PDF]
Journal des Mathématiques Pures et Appliquées, 2017 We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is purely analytical and uses form methods.
M. Keller +3 more
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Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms [PDF]
, 2016 In this paper, we establish stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms on metric measure spaces under general volume doubling condition.
Zhen-Qing Chen, T. Kumagai, Jian Wang
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Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms [PDF]
Journal des Mathématiques Pures et Appliquées, 2017 The subject of this paper is the study of convolution semigroups of states on a locally compact quantum group, generalising classical families of distributions of a Levy process on a locally compact group.
Adam G. Skalski, Ami Viselter
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On Recovering Sturm--Liouville-Type Operator with Delay and Jump Conditions [PDF]
Sahand Communications in Mathematical AnalysisIn this manuscript, the second order differential operators with constant delay and transmission boundary conditions are studied. The asymptotic forms of the characteristic functions and eigenvalues of the operators are obtained.
Mohammad Shahriari, Vladimir Vladicic
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