The groundbreaking aspects of this proposal are as follows: (1) development of a unique setup where electrical transport, angle-resolved photoemission (ARPES) and optical spectroscopy is measured in-situ on the same sample, (2) large-area deterministic layer-by-layer growth by chemical vapour deposition (CVD) and molecular beam epitaxy, (3) the effects of mechanical strain and hence large pseudomagnetic fields on the electronic band structure will be investigated using ARPES, (4) the effects of alkali metal doping on the superconducting transition temperature and the spectral function
will be investigated using transport, ARPES and optical spectroscopies shining light onto the superconducting pairing mechanisms in different classes of materials.
In our case, the path of integration always stays on the real axis, and the spectral function
component behavior at the poles is compensated by the subtraction of the specially designed function  given by
The aim of the present article is to improve one of the results in , where we discussed the asymptotic behavior of the spectral function
of a generalized second-order differential operator.
Thus for -point N sequence the resolution in the spectrum is equal to 1/N The n-th point in the spectral function
corresponds to the frequency f = n/N.
The function [omega] is called a spectral function
for problem (1.
Here [rho], which is called the spectral function
, is right continuous, has jumps at the eigenvalues only, and increases over the continuous spectrum.
To define the singular spectral function
associated with the problem (1.
In this paper we suggest a new numerical algorithm for solving the inverse problem of recovering a singular Sturm- Liouville operator on the half-line from its spectral function
Figure 2 also shows the relative spectral function
, s[lambda]), of the emitted (fluorescence) radiation when the excited state returns to the ground state.
In this method, the test functions are selected to be identical as the spectral functions
These optimal tapers belong to a family of spectral functions
termed discrete prolate spheroidal sequences (DPSS) .
2]([xi],[zeta]) are unknown spectral functions
, and indexes 1 and 2 correspond to the TE and TM beams, respectively.