159 research outputs found
Analyticity spaces and trajectory spaces based on a pair of commuting holomorphic semigroups with applications to continuous linear mappings
The matrices of the differential operators and with respect to orthonormal bases of Jacobi polynomials
A construction of generalized eigenprojections based on geometric measure theory
Let M denote a -compact locally compact metric space which satisfies certain geometrical conditions. Then for each -additive projection valued measure P on M there can be constructed a canonical Radon-Nikodym derivative , , with respect to a suitable basic measure on M. The family consists of generalized eigenprojections related to the commutative von Neumann algebra generated by the projections , a Borel set of M
A theory of generalized functions based on one parameter groups of unbounded self-adjoint operators
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