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A BEURLING-HELSON TYPE THEOREM FOR MODULATION SPACES
Beurling-Helson theorem changes of variables Feichtinger algebra Fourier multipliers modulation spaces Sjostrand algebra
2015/12/10
We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only C1 changes of variables that leave invariant themodulation spaces Mp,q(Rd) are affine functions on R...
LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES
Fourier multiplier weighted modulation space short-time Fourier transform nonlinear Schrodinger equation nonlinear wave equation nonlinear Klein-Gordon equation conservation of energy
2015/12/10
By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
DILATION PROPERTIES FOR WEIGHTED MODULATION SPACES
Modulation spaces Besov spaces Dilation Inclusion Wave equations
2015/12/10
In this paper we give a sharp estimate on the norm of the scaling operator Uλf(x) = f(λx) acting on the weighted modulation spaces Mp,q s,t (Rd). In particular, we recover and extend recent results by...
ORTHOGONAL POLYNOMIALS ON THE SIERPINSKI GASKET
Jacobi matrix Laplacian Sierpinski Gasket Orthogonal Polynomials Recursion Relation
2015/12/10
The construction of a Laplacian on a class of fractals which includes the Sierpinski gasket (SG) has given rise to an intensive research on analysis on fractals. For instance, a complete theory of pol...
MULTI-WINDOW GABOR FRAMES IN AMALGAM SPACES
Wiener amalgam space Gabor frame Wiener’s Lemma
2015/12/10
We show that multi-window Gabor frames with windows in the Wiener algebra W(L∞, `1) are Banach frames for all Wiener amalgam spaces. As a by-product of our results we prove thecanonical dual of a Gabo...
Laplacian pyramid based Laurent polynomial (LP2) matrices are generated by Laurent polynomial column vectors and have long been studied in connection with Laplacian pyramidal algorithms in Signal Proc...
Several results point to deep relations between noncommutative geometry and class eld theory ([3],
[10], [20], [22]). In [3] a quantum statistical mechanical system (BC) is exhibited, with partition...
INVERTIBILITY OF THE GABOR FRAME OPERATOR ON THE WIENER AMALGAM SPACE
Wiener amalgam space Gabor frame Walnut representation Wiener’s Lemma
2015/12/10
We use a generalization of Wiener’s 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L∞, `1 )(Rd), the corresponding frame operator is invertible on this s...
BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...
The de Rham-Witt and Zp-cohomologies of an algebraic variety
algebraic variety Zp-cohomologies
2015/12/10
According to the standard philosophy (cf. Deligne 1994, 3.1), a cohomology theory X 7→
Hi
(X, r) on the algebraic varieties over a fixed field k should arise from a functor RΓ
taking va...
具有代数结构的拓扑空间
$k$-gentle仿拓扑群 Lindelö f $\Sigma$-空间 可度量
2018/2/6
本文证明了: 如果rectifiable空间$G$是局部Lindelöf $\Sigma$-空间, 则$G$是强仿紧空间, 该结论改进了文[{Topology Appl., 2015, 193: 182-191]的一个结果; 如果rectifiable 空间$G$ 的 某个紧化剩余是局部$\sigma$-空间, 则$G$是局部紧空间或可分的度量空间, 该结论推广了文[{Topology ...
On the barotropic compressible Navier-Stokes equations
barotropic compressible Navier-Stokes equations
2015/10/15
We consider barotropic compressible Navier-Stokes equations with density dependent viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in periodic domain Ω = T...
CAPILLARY DROPS:CONTACT ANGLE HYSTERESIS AND STICKING DROPS
CAPILLARY DROPS CONTACT ANGLE HYSTERESIS STICKING DROPS
2015/10/15
This paper is concerned with the homogenization of a capillary equation for liquid drops lying on an in homogeneous solid plane. We show in particular that the homogenization of the Young-Laplacelaw l...
Homogenization of a nonlinear transport equation
Boltzmann Equation Semiconductor Homogenization
2015/10/15
In this paper, we investigate the homogenization of a nonlinearkinetic equation modeling electron transport in semiconductors. We compute effective scattering coefficients for medium with periodic inh...
We study the qualitative properties of the generalized transition fronts for the reaction diffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transitio...