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19 Result(s)
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English
Mathematics
**an-Wei Li
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Article
On traceable iterated line graph and hamiltonian path index
**ong and Liu [21] gave a characterization of the graphs G for which the n-iterated line graph Ln(G) is hamiltonian, for n ≥ 2. In this paper, we study the existence of a hamiltonian path in Ln(G), and give a cha...
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Article
Nearly optimal stochastic approximation for online principal subspace estimation
Principal component analysis (PCA) has been widely used in analyzing high-dimensional data. It converts a set of observed data points of possibly correlated variables into a set of linearly uncorrelated variab...
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Chapter
A Pedestrian-Level Strategy to Minimize Outdoor Sunlight Exposure
Too much sunlight exposure would cause heat stress for people during the hot summer, although a minimum amount of sunlight is required for humans. Unprotected exposure to ultraviolet (UV) radiation in the sunl...
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Article
Stable conjugacy and epipelagic L-packets for Brylinski–Deligne covers of \({\text {Sp}}(2n)\)
Let F be a local field of characteristic not 2. We propose a definition of stable conjugacy for all the covering groups of $$\text {Sp}(2n,F)$...
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Article
Bias Free Threshold Estimation for Jump Intensity Function
In this paper, combining the threshold technique, we reconstruct Nadaraya-Watson estimation using Gamma asymmetric kernels for the unknown jump intensity function of a diffusion process with finite activity ju...
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Book
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Chapter
The Doubling Method
In order to reconcile our framework with that of Braverman and Kazhdan (Mosc Math J 2:533–553, 2002), two Conjectures 7.1.5 and 7.3.4 will be postulated.
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Chapter
Convergence of Some Zeta Integrals
We will need Hypothesis 5.2.2 on the existence of eigenmeasures. This is always met in practice.
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Chapter
Introduction
Zeta integrals are indispensable tools for studying automorphic representations and their L-functions. In broad terms, it involves integrating automorphic forms (global case) or “coefficients” of representations ...
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Chapter
Geometric Background
The main purpose of this section is to fix notation. We refer to Knop (The Luna-Vust theory of spherical embeddings. In: Proceedings of the Hyderabad conference on algebraic groups, Hyderabad, 1989, pp 225–249...
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Chapter
Speculation on the Global Integrals
The constructions of basic vectors (also known as “basic functions”) and 𝜗-distributions stem from Sakellaridis (Algebra Number Theory 6:611–667, 2012, §3), to which we refer for further examples.
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Chapter
Analytic Background
Let F be a local field of characteristic zero and G be an affine F-group. Consider a smooth G-variety Y over F, so that Y (F) becomes an F-analytic manifold with right G(F)-action. The constructions below can be ...
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Chapter
Schwartz Spaces and Zeta Integrals
Throughout this chapter, we fix
a local field F of characteristic zero,
a split connected reductive F-group G,
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Chapter
Prehomogeneous Vector Spaces
Unless otherwise specified, F will denote a local field of characteristic zero. We also fix a nontrivial continuous unitary character ...
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Chapter
Towards Generalized Prehomogeneous Zeta Integrals
Let X be a prehomogeneous vector space under a connected reductive group G over ℝ ...
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Article
Basic functions and unramified local L-factors for split groups
According to a program of Braverman, Kazhdan and Ngô, for a large class of split unramified reductive groups G and representations ρ of the dual group Ĝ, the unramified local L-factor L(s, π, ρ) can be expressed ...
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Article
On Spectral Analysis and a Novel Algorithm for Transmission Eigenvalue Problems
The transmission eigenvalue problem, besides its critical role in inverse scattering problems, deserves special interest of its own due to the fact that the corresponding differential operator is neither ellip...
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Article
An oscillating multiplier on Herz type spaces
In this paper, the boundedness of an oscillating multiplier m γ,β for different β on the Herz type spaces is obtained. This operator was initially studi...
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Article
System of vector quasi-equilibrium problems and its applications
A new system of vector quasi-equilibrium problems is introduced and its existence of solution is proved. As applications, some existence results of weak Pareto equilibrium for both constrained multicriteria ga...
