Some inequalities of Hermite-Hadamard type for h-convex functions de…ned on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well. 1. Introduction The following inequality holds for any convex function f de…ned on R (1.1) (b a)f a+ b 2 < Z b a f(x)dx < (b a) + f(b) 2 ; a; b 2 R: It was …rstly discovered by Ch. Hermite in 1881 in the j...

We give a non-perturbative construction of a distinguished state for the quantized Dirac field in Minkowski space in the presence of a time-dependent external field of the form of a plane electromagnetic wave. By explicit computation of the fermionic signature operator, it is shown that the Dirac operator has the strong mass oscillation property. We prove that the resulting fermionic projector ...

We construct the Hadamard Green’s function by using the eigenfunction, which are obtained by solving the wave equation for the massless conformal scalar field on the Sn−1 of a n-dimensional closed, static universe. We also consider the half space case with both the Dirichlet and the Neumann boundary conditions. Solving of eigenfunction and eigenvalues of the corresponding field equation is inte...

Abstract In this paper we complete the first step, namely the uniform bound on completely convergent contributions, towards proving that a three dimensional interacting system of Fermions is a Fermi liquid in the sense of Salmhofer. The analysis relies on a direct space decomposition of the propagator, on a bosonic multiscale cluster expansion and on the Hadamard inequality, rather than on a Fe...

Any nonpositively curved symmetric space admits a topological compactification, namely the Hadamard compactification. For rank 1 spaces, this topological compactification can be endowed with a differentiable structure such that the action of the isometry group is differentiable. Moreover, the restriction of the action on the boundary leads to a flat model for some geometry (conformal, CR or qua...

| This paper presents a lossless block-transform coder based on the Hadamard transform that achieves a compression ratio as good as that of the current lossless JPEG-standard and about 10 to 20% lower than the currently best state-of-the-art technique Calic. The main advantage of the proposed technique is that it produces an embedded data stream which may be truncated to achieve lossy compressi...

Digital images are now the basis of visual information in medical applications. The advent of radiology which employs imaging for diagnosis generates great amount of images. Automatic retrieval of images based on features like color, shape and texture is termed Content Based Image Retrieval. The increasing dependence of modern medicine on diagnostic techniques such as radiology, computerized to...

Multiple reception antenna assisted Space Division Multiple Access (SDMA) techniques designed for wireless OFDM systems have recently drawn wide interests. These techniques facilitate the implementation of effective multi-user detection algorithms at the receiver, such as Minimum Mean-Square Error (MMSE) detection, Successive Interference Cancellation (SIC), Parallel Interference Cancellation (...

We consider the change of entanglement of formation ∆E produced by the Hadamard-CNOT circuit on a general (pure or mixed) state ρ describing a system of two qubits. We study numerically the probabilities of obtaining different values of ∆E, assuming that the initial state is randomly distributed in the space of all states according to the product measure recently introduced by Zyczkowski et al.

Let N (l) be a continuous topological space. Recent developments in local calculus [19] have raised the question of whether every real, degenerate, semi-Kepler factor is linearly Noetherian. We show that every curve is pointwise semi-Hadamard, Thompson, almost surely ultra-reducible and non-continuously independent. It has long been known that every hyper-natural modulus equipped with a Pythago...