Large-radius excitons in polar crystals are considered. It is shown that translation invariant description of interacting with a phonon field leads to nonzero contribution phonons into the exciton ground state energy only case weak or intermediate electron-phonon coupling. A conclusion made self-trapped cannot exist limit strong Peculiarities absorption and emission spectra discussed. Condition...

We will show that the factorization condition for the Fourier integral operators I (X; Y ;) leads to a parametrized parabolic Monge-Amp ere equation. In case of an analytic operator the bration by the kernels of the Hessian of phase function is shown to be analytic in a number of cases by considering more general continuation problem for the level sets of a holomorphic mapping. The results are ...

A new method of constructing translation invariant continuous valuations on convex subsets of the quaternionic space Hn is presented. In particular new examples of Sp(n)Sp(1)-invariant translation invariant continuous valuations are constructed. This method is based on the theory of plurisubharmonic functions of quaternionic variables developed by the author in two previous papers [5] and [6].

A new method of constructing translation invariant continuous valuations on convex subsets of the quaternionic space Hn is presented. In particular new examples of Sp(n)Sp(1)-invariant translation invariant continuous valuations are constructed. This method is based on the theory of plurisubharmonic functions of quaternionic variables developed by the author in two previous papers [5] and [6].

We propose an improved shape matching algorithm that extends the work of Felzenszwalb [3]. In this approach, we use triangular meshes to represent deformable objects and use dynamic programming to find the optimal mapping from the source image to the target image which minimizes a new energy function. Our energy function includes a new cost term that takes into account the center of mass of an ...

This paper is a review of works about the use of the logpolar image model for pattern recognition purposes. Particular attention is paid to the rotationand scale-invariant pattern recognition problem, which is simplified by the log-polar mapping. In spite of this advantage, ordinary translations become a complicated image transform in the logpolar domain. Two approaches addressing the estimatio...