Spectral Theory and Nonlinear Functional Analysis

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This Research Note introduces a new Morse (index) theory that is easie r to use, less technical, and more flexible than existing theories. Un til now, these results have appeared only in scattered journals. The a uthor provides a self-contained treatment with full proofs of the majo r results and complete with applications of the theory to Hamiltonian systems and other areas of current research, including wave equations, Chern-Simon functionals, and Lorentzian geometry