We study the link between Ψdos and Wick operators via Bargmann transform. deduce a formula for symbol of operator in terms short-time Fourier transform Weyl symbol. This gives characterizations symbols Shubin type infinite order, results on composition. prove series expansion anti-Wick which leads to sharp Gårding inequality transition hypoellipticity symbols. Finally we show continuity operato...

introduction: an efficient method of tomographic imaging in nuclear medicine is positron emission tomography (pet). compared to spect, pet has the advantages of higher levels of sensitivity, spatial resolution and more accurate quantification. however, high noise levels in the image limit its diagnostic utility. noise removal in nuclear medicine is traditionally based on fourier decomposition o...

there are two methods for identifying formation interface in oil wells: core analysis, which is a precise approach but costly and time consuming, and well logs analysis, which petrophysists perform, which is subjective and not completely reliable. in this paper, a novel coupled method was proposed to detect the formation interfaces using gr logs. second approximation level (a2) of gr log gained...

Using laser-ablation molecular-beam Fourier transform microwave (LA-MB-FTMW) spectroscopy two new conformers of proline have been identified together with the two previously observed (Angew. Chem. Int. Ed., 2002, 41, 4673).

The paper presents a fast algorithm for the calculation of a multiresolution discrete Fourier transform. The presented approach is based on the realization of the Fast Fourier Transform for each frequency resolution level. This algorithm allows reducing the number of complex multiplications and additions compared to the method consisting in the multiplication between the input signal expressed ...

In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.