44,437 research outputs found
De Branges spaces and Krein's theory of entire operators
This work presents a contemporary treatment of Krein's entire operators with
deficiency indices and de Branges' Hilbert spaces of entire functions.
Each of these theories played a central role in the research of both renown
mathematicians. Remarkably, entire operators and de Branges spaces are
intimately connected and the interplay between them has had an impact in both
spectral theory and the theory of functions. This work exhibits the
interrelation between Krein's and de Branges' theories by means of a functional
model and discusses recent developments, giving illustrations of the main
objects and applications to the spectral theory of difference and differential
operators.Comment: 37 pages, no figures. The abstract was extended. Typographical errors
were corrected. The bibliography style was change
Binary open clusters in the Milky Way: photometric and spectroscopic analysis of NGC 5617 and Trumpler 22
Using photometry and high resolution spectroscopy we investigate for the
first time the physical connection between the open clusters NGC 5617 and
Trumpler 22. Based on new CCD photometry we report their spatial proximity and
common age of ~70 Myr. Based on high resolution spectra collected using the
HERMES and UCLES spectrographs on the Anglo-Australian telescope, we present
radial velocities and abundances for Fe, Na, Mg, Al, Si, Ca and Ni. The
measured radial velocities are -38.63 +/-2.25 km/s for NGC 5617 and -38.46
+/-2.08 km/s for Trumpler 22. The mean metallicity of NGC 5617 was found to be
[Fe/H] =-0.18 +/-0.02 and for Trumpler 22 was found to be [Fe/H] = -0.17
+/-0.04. The two clusters share similar abundances across the other elements,
indicative of a common chemical enrichment history of these clusters. Together
with common motions and ages we confirm that NGC 5617 and Trumpler 22 are a
primordial binary cluster pair in the Milky Way.Comment: 7 pages, 3 figure, accepted by MNRA
DiagnĂłstico da agricultura familiar no municĂpio de Moju, Pará.
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