Relative Oscillation Theory for Jacobi Matrices - Mathematics > Spectral TheoryReport as inadecuate




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Abstract: We develop relative oscillation theory for Jacobi matrices which, rather thancounting the number of eigenvalues of one single matrix, counts the differencebetween the number of eigenvalues of two different matrices. This is done byreplacing nodes of solutions associated with one matrix by weighted nodes ofWronskians of solutions of two different matrices.



Author: Kerstin Ammann, Gerald Teschl

Source: https://arxiv.org/



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