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Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators
Symmetric operator Defect subspace Self-adjoint extension
2011/2/22
Let H be a Hilbert space and let A be a simple symmetric operator in H with equal deficiency indices d := n±(A) < 1. We show that if, for all in an open interval I R, the dimension of defect subsp...
Generalized Dunkl-Sobolev Spaces of Exponential Type and Applications
Dunkl operators Dunkl-Bessel-Laplace operator Generalized Dunkl-Sobolev spaces of exponential type Pseudo differential-difference operators Reproducing kernels
2010/1/22
We study the Sobolev spaces of exponential type associated with the Dunkl-Bessel Laplace operator. Some properties including completeness and the imbedding theorem are proved. We next introduce a clas...