Abstract Raman spectroscopy is a well established tool for the analysis of vibration spectra, which then allow determination individual substances in chemical sample, or their phase transitions. In time-resolved-Raman-sprectroscopy spectra sample are recorded sequentially over time interval, such that conclusions intermediate products (transients) can be drawn within process. The observed data-...

We prove that the results in scattering theory involve resonances are still valid for non-analytic potentials, even if notion of resonance is not defined this setting. More precisely, we show potential a semiclassical Schrödinger operator supposed to be smooth and decrease at infinity, usual formulas relating quantities hold. The main ingredient proofs resolvent estimate new type, an with its c...

Dynamic system fault diagnosis is often faced with a large number of possible faults. The purpose this paper to propose an efficient method for such situations. To avoid intractable combinatorial problems, sparse estimation techniques appear be powerful tool isolating faults, under the assumption that only small faults can simultaneously active. However, studied in framework <italic xmlns:mml="...