We present a new K-band survey covering 623 arcmin 2 in the VVDS 0226-0430 deep field down to a limiting magnitude KVega 20.5. We use the spectroscopic sample extracted from this new K-band catalogue to assess the effectiveness of optical-near infrared color selections in identifying extreme classes of objects at high redshift. 1. The VVDS F02 K-selected sample Near-infrared (NIR) selected samp...

We propose a definition of admissible Dirichlet series as the analog of Hayman’s [6] 1956 definition of admissible power series.

We derive eigenvalue asymptotics for Sturm–Liouville operators with singular complex-valued potentials from the space W 2 (0, 1), α ∈ [0, 1], and Dirichlet or Neumann–Dirichlet boundary conditions. We also give application of the obtained results to the inverse spectral problem of recovering the potential by these two spectra.

The VIMOS-VLT Deep Survey (VVDS) currently offers a unique combination of depth, angular size and number of measured galaxies among surveys of the distant Universe: ∼ 11, 000 spectra over 0.5 deg to IAB = 24 (VVDS-Deep), 35, 000 spectra over ∼ 7 deg 2 to IAB = 22.5 (VVDS-Wide). The current “First Epoch” data from VVDS-Deep already allow investigations of galaxy clustering and its dependence on ...

the purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of sturm-liouville problem with equation of the form w??=(?2f(x)?r(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in c2(a,b which has a single zero (so called turning point) at point 0x=x and r(x) is a continuously differentiable function. ...

In this article, we briefly describe nearly $$T^{-1}$$ invariant subspaces with finite defect for a shift operator T having multiplicity acting on separable Hilbert space $${\mathcal {H}}$$ as generalization of introduced by Liang and Partington in Complex Anal. Oper. Theory 15(1) (2021) 17 pp. other words, characterize terms backward vector-valued Hardy spaces using Theorem 3.5 Int. Equations ...