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most citedThe Sixteenth Data Release of the Sloan Digital Sky Surveys: First Release from the APOGEE-2 Southern Survey and Full Release of eBOSS Spectra

1.5k citations

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7 papers · 1 filter

math.SP2023

Inverse spectral Love problem via Weyl-Titchmarsh function

Samuele Sottile

In this paper we prove an inverse resonance theorem for the half-solid with vanishing stresses on the surface via Weyl-Titchmarsh function. Using a semi-classical approach it is po…

math.SP2022★ 1 cited

Inverse resonance problem for Love seismic surface waves

Samuele Sottile

In this paper we solve an inverse resonance problem for the half-solid with vanishing stresses on the surface: Lamb's problem. Using a semi-classical approach we are able to simpli…

math.SP2022★ 1 cited

Analysis of leaky modes or wavenumber resonances for the Rayleigh system in a half space

Maarten V. de Hoop, Alexei Iantchenko

We present a comprehensive analysis of wavenumber resonances or leaky modes associated with the Rayleigh operator in a half space containing a heterogeneous slab, being motivated b…

math.SP2014

Resonances for the radial Dirac operators

Alexei Iantchenko, Evgeny Korotyaev

We consider the radial Dirac operator with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm d…

math.SP2010★ 13 cited

Periodic Jacobi operator with finitely supported perturbations

Alexei Iantchenko, Evgeny Korotyaev

We describe the spectral properties of the Jacobi operator with where sequences $a_n^0…

math.SP2010

Resonance spectrum for one-dimensional layered media

Alexei Iantchenko

We consider the "weighted" operator on the line with a step-like coefficient which appears when propagation of waves thorough a finite slab of a pe…