We demonstrate an efficient noise dithering procedure for measuring the power spectrum of a weak spectral doublet with a Fourier-transform spectrometer in which the subthreshold interferogram is measured by a 1-bit analog-to-digital converter without oversampling. In the absence of noise, no information is obtained regarding the doublet spectrum because the modulation term s(x) of its interfero...

The odd dimensional quantum sphere S q is a homogeneous space for the quantum group SUq(l + 1). A generic equivariant spectral triple for S 2l+1 q on its L2 space was constructed by Chakraborty & Pal in [4]. We prove regularity for that spectral triple here. We also compute its dimension spectrum and show that it is simple. We give detailed construction of its smooth function algebra and some r...

Abstract Holomorphic functions play a crucial role in operator theory and the Cauchy formula is very important tool to define of operators. The Fueter–Sce–Qian extension theorem two-step procedure extend holomorphic hyperholomorphic setting. first step gives class slice functions; their allows so-called S -functional calculus for noncommuting operators based on -spectrum. In second this generat...

We present a 5–37 μm infrared spectrum obtained with the Spitzer Space Telescope toward the southeastern lobe of the young protostellar outflow HH211. The spectrum shows an extraordinary sequence of OH emission lines arising in highly excited rotational levels up to an energy E/ k ≈ 28200K above the ground level. This is, to our knowledge, by far the highest rotational excitation of OH observed...