# The Maslov index for Lagrangian pairs on R2n

@article{Howard2017TheMI, title={The Maslov index for Lagrangian pairs on R2n}, author={Peter Howard and Yuri Latushkin and Alim Sukhtayev}, journal={Journal of Mathematical Analysis and Applications}, year={2017}, volume={451}, pages={794-821} }

Abstract We discuss a definition of the Maslov index for Lagrangian pairs on R 2 n based on spectral flow, and develop many of its salient properties. We provide two applications to illustrate how our approach leads to a straightforward analysis of the relationship between the Maslov index and the Morse index for Schrodinger operators on [ 0 , 1 ] and R .

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