The Legendre equation and its self-adjoint operators
The Legendre equation has interior singularities at -1 and +1. The celebrated classical Legendre polynomials are the eigenfunctions of a particular self-adjoint operator in $L^2(-1,1)$. We characterize all self-adjoint Legendre operators in $L^2(-1,1)$ as well as those in $L^2(-infty,-1)$ and in...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/69/abstr.html |