Abstract
where is the natural inner product on Cr. We extend (u, v) to a pairing between u in Cc? (Q), the space of C?? r-vector functions with compact support in X, and v in i)'(Q), the space of r-vector distributions on Q. Let T be a closed densely defined linear operator in L2 (p) which is self-adjoint, i. e. T =T*. If T has a compact resolvent (TI)-1 for some AX C' with In1(A) / 0 (and hence for all such A), then T has a complete orthonormal sequence of eigenfunctions { j} with
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
