This paper deals with precise mapping properties of the Bergman and Szegö projections of pseudo-convex domains of finite type in C whose Levi form are locally diagonalizable at every point of the boundary (see Section 2 for a precise definition). We obtain sharp estimates for these operators for usual Lpk Sobolev spaces, classical Lipschitz spaces Λα and nonisotropic Lipschitz spaces Γα related...

In the study of pattern formation in symmetric physical systems, a three-dimensional structure in thin domains is often modelled as a two-dimensional one. This paper is concerned with functions in {\bb R}^{3} that are invariant under the action of a crystallographic group and the symmetries of their projections into a function defined on a plane. A list is obtained of the crystallographic group...

We present several Orientifolds of M-Theory on K 3 × S 1 by additional projections with respect to the finite abelian automorphism groups of K 3. The resulting models correspond to anomaly free theories in six dimensions. We construct explicit examples which can be interpreted as models with eight, four, two and one vector multiplets and N = 1 supersymmetry in six dimensions.

We use spectral methods of automorphic forms to establish a holomorphic projection operator for tensor products of vector-valued harmonic weak Maass forms and vector-valued modular forms. We apply this operator to discover simple recursions for Fourier series coefficients of Ramanujan's mock theta functions.

The accuracy performance of fringe projection profilometry (FPP) depends on accurate phase-to-height (PTH) mapping and system calibration. The existing PTH mapping is derived based on the condition that the plane formed by axes of camera and projector is perpendicular to the reference plane, and measurement error occurs when the condition is not met. In this paper, a new geometric model for FPP...

We introduce tests for finite-sample linear regressions with heteroskedastic errors. The tests are exact, i.e., they have guaranteed type I error probabilities when bounds are known on the range of the dependent variable, without any assumptions about the noise structure. We provide upper bounds on probability of type II errors, and apply the tests to empirical data.

It is the object of this paper to study the existence and the form of minimal projections in some spaces of tensor products of Banach spaces. We answer a question of Franchetti and Cheney for finitely codimensional subspaces in C(K ) [1].

OBJECTIVES To assess prospectively the effects of perceived non-reciprocity of exchange in three different types of social engagement on health functioning in early old age. METHODS In the frame of the prospective French GAZEL cohort study, data on reciprocity in three types of role-related social engagement (principal regular activity in everyday life, marital role relationship, trusting rel...