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A Simple Manifold-Based Construction of Surfaces of Arbitrary Smoothness     Geometric modeling  manifolds       font style='font-size:12px;'> 2015/7/14
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
We consider the rate of piecewise constant approximation to a locally stationary process $X(t),t\in [0,1]$, having a variable smoothness index $\alpha(t)$. Assuming that $\alpha(\cdot)$ attains its un...
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
Abstract: This note studies an issue relating to essential smoothness that can arise when the theory of large deviations is applied to a certain option pricing formula in the Heston model. The note id...
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...
Abstract: We discuss the connection between the smooth and metric structure on quotient spaces, prove smoothness of isometries in special cases and discuss an application to a conjecture of Molino.
Let d ≥ 2 and T be the convolution operator T f(x) = R Rd−1 f(x′ − t, xd − |t|2) dt, which is is bounded from L(d+1)/d(Rd) to Ld+1(Rd). We show that any critical point f ∈ L(d+1)/d o...
Weak convergence of the empirical copula process is shown to hold under the assumption that the first-order partial derivatives of the copula exist and are continuous on certain subsets of the unit hy...
For solving linear ill-posed problems regularization methods are required when the right hand side is with some noise. In the present paper regularized solutions are obtained by implicit iteration met...
The elastic wave equation of limited smoothness      elastic wave equation  limited smoothness        font style='font-size:12px;'> 2010/11/30
We establish a decoupling result for the P and S waves of linear, isotropic elasticity, in the setting of twice-differentiable Lam´e parameters.
Smoothness of sets in Euclidean spaces      Smoothness  Euclidean spaces        font style='font-size:12px;'> 2010/12/10
We study some properties of smooth sets in the sense defined by Hungerford ([2]). We prove a sharp form of Hungerford’s Theorem on the Hausdorff dimension of their boundaries on Euclidean spaces and s...
Let  = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and  = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
On the Smoothness of Centralizers in Reductive Groups      Smoothness of Centralizers  Reductive Groups        font style='font-size:12px;'> 2010/11/29
Let G be a connected reductive algebraic group over an algebraically closed field k. In a recent paper, Bate, Martin, R¨ohrle and Tange show that every (smooth) subgroup of G is separable provided th...
Fractional smoothness and applications in finance     Fractional smoothness  finance       font style='font-size:12px;'> 2010/4/28
This overview article concerns the notion of fractional smoothness of random variables of the form $g(X_T)$, where $X=(X_t)_{t\in [0,T]}$ is a certain diffusion process. We review the connection to th...
The Hardy-Landau-Littlewood Inequalities with Less Smoothness.

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