Abstract
In this chapter, we study basic properties of the index function theory for elements in Pτ(2n)defined in Chapter 5, study its relation with the Morse indices of the reduced functional of corresponding linear Hamiltonian systems, and derive its axiom characterization. These results form the basis for our later study of the iteration theory and Morse theoretical applications to nonlinear Hamiltonian systems.
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© 2002 Springer Basel AG
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Long, Y. (2002). Properties of index functions. In: Index Theory for Symplectic Paths with Applications. Progress in Mathematics, vol 207. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8175-3_6
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DOI: https://doi.org/10.1007/978-3-0348-8175-3_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9466-1
Online ISBN: 978-3-0348-8175-3
eBook Packages: Springer Book Archive