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On PovznerWienholtzType SelfAdjointness Results For MatrixValued SturmLiouville Operators
 Proc. Math. Soc. Edinburgh 133A
, 2003
"... We derive PovznerWienholtztype selfadjointness results for m m matrixvalued SturmLiouville operators T = R dx + Q in ((a; b); Rdx) , m 2 N, for (a; b) a halfline or R. ..."
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Cited by 7 (3 self)
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We derive PovznerWienholtztype selfadjointness results for m m matrixvalued SturmLiouville operators T = R dx + Q in ((a; b); Rdx) , m 2 N, for (a; b) a halfline or R.
ftp ejde.math.txstate.edu (login: ftp) A PROPERTY OF SOBOLEV SPACES ON COMPLETE RIEMANNIAN MANIFOLDS
"... Abstract. Let (M, g) be a complete Riemannian manifold with metric g and the Riemannian volume form dν. We consider the R kvalued functions T ∈ [W −1,2 (M) ∩ L 1 loc (M)]k and u ∈ [W 1,2 (M)] k on M, where [W 1,2 (M)] k is a Sobolev space on M and [W −1,2 (M)] k is its dual. We give a sufficient c ..."
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Abstract. Let (M, g) be a complete Riemannian manifold with metric g and the Riemannian volume form dν. We consider the R kvalued functions T ∈ [W −1,2 (M) ∩ L 1 loc (M)]k and u ∈ [W 1,2 (M)] k on M, where [W 1,2 (M)] k is a Sobolev space on M and [W −1,2 (M)] k is its dual. We give a sufficient condition for the equality of 〈T, u 〉 and the integral of (T · u) over M, where 〈·, · 〉 is the duality between [W −1,2 (M)] k and [W 1,2 (M)] k. This is an extension to complete Riemannian manifolds of a result of H. Brézis and F. E. Browder. 1. Introduction and
Twobody quantum mechanical problem on spheres
, 2005
"... The quantum mechanical twobody problem with a central interaction on the sphere S n is considered. Using recent results in representation theory an ordinary differential equation for some energy levels is found. For several interactive potentials these energy levels are calculated in explicit form. ..."
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The quantum mechanical twobody problem with a central interaction on the sphere S n is considered. Using recent results in representation theory an ordinary differential equation for some energy levels is found. For several interactive potentials these energy levels are calculated in explicit form.