Generalized eigenfunctions and eigenvalues: A unifying framework for Shnol-type theorems

Author:

Beckus Siegfried,Devyver Baptiste

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Reference53 articles.

1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, U.S. Government Printing Office, 1964.

2. S. Agmon, On positivity and decay of solutions of second order elliptic equations on Riemannian manifolds, in Methods of Functional Analysis and Theory of Elliptic Equations (Naples, 1982), Liguori, Naples, 1983, pp. 19–52.

3. A. Ancona, Some results and examples about the behavior of harmonic functions and Green’s functions with respect to second order elliptic operators, Nagoya Math. J. 165 (2002), 123–158.

4. S. Beckus and Y. Pinchover, Shnol-type theorem for the Agmon ground state, J. Spectr. Theory 10 (2020), 355–377.

5. M. Biroli and U. Mosco, A Saint-Venant type principle for Dirichlet forms on discontinuous media, Ann. Mat. Pura Appl. (4) 169 (1995), 125–181.

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