搜索结果: 1-15 共查到“泛函分析 functions”相关记录33条 . 查询时间(0.296 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
Linear independence of time-frequency translates of functions with faster than exponential decay
Gabor system exponential decay HRT conjecture linear independence timefrequency translates analytic zero divisor conjecture
2012/6/29
We establish the linear independence of time-frequency translates for functions $f$ having one sided decay $\lim_{x\to \infty} |f(x)| e^{cx \log x} = 0$ for all $c>0$. We also prove such results for f...
On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices
First-order symmetric system decomposing boundary triplet Nevanlinna boundary conditions m-function
2012/6/19
We study general (not necessarily Hamiltonian) first-order symmetric systems $J y'(t)-B(t)y(t)=\D(t) f(t)$ on an interval $[a,b> $ with the regular endpoint $a$. The deficiency indices $n_\pm$ of the ...
Entire Functions of Exponential-Type with Given Zeros
Entire functions Exponential-type Zeros the Growth
2011/10/20
In this paper, we consider some entire functions of exponential-type with given zeros, a kind of sequences of complex numbers in the right half-plane, and discuss the growth of the functions on the im...
On approximation by ∆- convex polyhedron support functions
Weierstrass theorem function approximation weakly continuous function weakly compact set normed semigroup ∆ convex polyhedron support function
2011/10/20
The classical Weierstrass theorem states that every continuous function f defined ona compact set K▲Rn can be uniformly approximated by polynomials. In this paper we show firstthat it is again valid i...
On the Properties of Special Functions on the linear-type lattices
q-hypergeometric functions difference equations recurrence relations q-polynomials
2011/9/23
Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Sampling bandlimited functions reproducing kernel Hilbert spaces Gelfand pairs commutative spaces representation theory
2011/9/19
Abstract: A connected homogeneous space X=G/K is called commutative if G is a connected Lie group, $K$ is a compact subgroup and the B*-algebra L^1(X)^K of K-invariant integrable function on X is comm...
$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions
Nemytskii operators Sobolev-type spaces of periodic functions C1-smoothness Functional Analysis
2011/9/19
Abstract: We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main res...
On the Coordinated Convex Functions
Hadamard’s inequality co-ordinates convexity Holder’s inequality Power mean inequality
2011/9/15
Abstract: In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.
On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions
Quasi-convex functions Holder Inequality Power Mean Inequality co-ordinates Lipschitzian function
2011/9/15
Abstract: In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some propertie...
Square functions for Ritt operators on noncommutative $L^p$-spaces
noncommutative Lp-space Ritt operator square function Stolz domain functional calculus
2011/9/14
Abstract: For any Ritt operator $T$ acting on a noncommutative $L^p$-space, we define the notion of \textit{completely} bounded functional calculus $H^\infty(B_\gamma)$ where $B_\gamma$ is a Stolz dom...
On distance distribution functions-valued submeasures related to aggregation functions
submeasure distribution function probabilistic metric space triangular norm aggregation function semi-copula lattice
2011/9/13
Abstract: Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is pai...
Spectral comparisons between networks with different conductance functions
Dirichlet form graph energy discrete potential theory graph Laplacian weighted graph trees spectral graph theory resistance network
2011/9/6
Abstract: For a network consisting of a graph with edge weights prescribed by a given conductance function $c$, we consider the effects of replacing these weights with a new function $b$ that satisfie...
Higher order Glaeser inequalities and optimal regularity of roots of real functions
Glaeser inequality absolutely continuous functions roots of real functions Holder continuous functions
2011/9/6
Abstract: We prove a higher order generalization of Glaeser inequality, according to which one can estimate the first derivative of a function in terms of the function itself, and the Holder constant ...
Some integrals and series involving the Gegenbauer polynomials and the Legendre functions on the cut (-1,1)
Special functions Legendre functions Gegenbauer polynomials Fourier expansions
2011/9/6
Abstract: We use the recent findings of Cohl [arXiv:1105.2735] and evaluate the principal and the residual values of the integral $\int_{-1}^{1}\mathrm{d}t\:(1-t^{2})^{\lambda-1/2}(x-t)^{-\kappa-1/2}C...