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EXPLICIT CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS
EXPLICIT CLASS FIELD THEORY GLOBAL FUNCTION FIELDS
2015/8/26
Let F be a global function field and let F ab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ: Gal(F ab/F) → CF , where CF is the id...
HOPF MONOIDS FROM CLASS FUNCTIONS ON UNITRIANGULAR MATRICES
Unitriangular matrix class function superclass function
2015/8/14
We build, from the collection of all groups of unitriangular matrices, Hopf
monoids in Joyal’s category of species. Such structure is carried by the collection of
class function spaces on those grou...
A class of Lyapunov functionals for analyzing hybrid dynamical systems
Lyapunov functionals the hybrid system function hysteresis nonlinear system lyapunov functionals
2015/8/11
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
An ADMM algorithm for a class of total variation regularized estimation problems
Signal processing algorithms stochastic parameters parameter estimation convex optimization and regularization
2015/8/7
We present an alternating augmented Lagrangian method for convex optimization problems where the cost function is the sum of two terms, one that is separable in the variable blocks, and a second that ...
Differentiability of functions in the Zygmund class
Differentiability of functions Zygmund class
2011/2/21
Given two parameters b > 1 and 0 < 1, in 1876, Weierstrass considered the functions given by the series X1 n=0 bn cos(2bnx); x 2 R;and proved that they are continuous and nowhere di er...
A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
Asymptotically hyperbolic manifold Constraint equations Conformal method
2011/3/2
We construct solutions of the constraint equation with non constant mean curvature on an
asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
Jacob's ladders Bessel's functions the asymptotic solutions
2010/11/19
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduce...
A sharp bound on fixed points of surface symplectomorphisms in each mapping class
sharp bound fixed points of surface symplectomorphisms
2010/11/29
Given a closed, oriented surface , possibly with boundary, and a mapping class, we obtain sharp lower bounds on the number of xed points of a surface symplectomorphism (i.e. area-preserving map) in ...
Euler-Lagrange Inclusions and Existence of Minimizers for a Class of Non-Coercive Variational Problems
Calculus of variations existence Euler-Lagrange inclusions radially symmetric solutions non-coercive problems
2009/1/13
We are concerned with integral functionals of the form
J(v)\doteq \int_{B_R^n} \left[f(|x|,|\nabla v(x)|)+h(|x|,v(x))\right] dx,
defined on $W^{1,1}_0(B_R^n, \mathbb{R}^m)$, where $B_R^n$ is the b...
Invariance in the Class of Weighted Lehmer Means
Lehmer means Generalized means Invariant means Complementary means Double sequences
2010/1/22
We study invariance in the class of weighted Lehmer means. Thus we look at triples of weighted Lehmer means with the property that one is invariant with respect to the other two.
Inequalities of Maximum of Partial Sums and Weak Convergence for a Class Weak Dependent Random Variables
$\rho^{-}$-mixing $\rho^{*}$-mixing NA rosenthal type inequalities weak convergence
2007/12/12
In this paper, we establish a Rosenthal-type inequality of the maximum of partial sums for $\rho^{-}$-mixing random fields. As its applications we get the H\'{a}jeck--R\`{e}nyi inequality and weak con...
A Certain Class of Analytic and Multivalent Functions Defined by Means of a Linear Operator
Analytic function Multivalent function Linear operator Convex univalent function Hadamard product (or convolution) Subordination Integral operator
2010/1/25
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce a class of analytic and multivalent functions in the open unit disk. An inclusi...
Fisher Equilibrium Price with a Class of Concave Utility Functions.
Fisher Equilibrium Price Concave Utility Functions.
2012/11/29
In this paper we study efficient algorithms for computing equilibrium price in the Fisher model for a class of nonlinear concave utility functions, the logarithmic utility functions. We derive a duali...
On A Class of Para-Sakakian Manifolds
Para-Sasakian manifold Weyl-pseudosymmetric manifold
2010/2/26
In this study, we investigate Weyl-pseudosymmetric Para-Sasakian manifolds and Para-Sasakian manifolds satisfying the condition C \cdot S=0.