A characterization of the spaces $S^{k/k+1}_{1/k+1}$ by means of holomorphic semigroups
Copyright policy )A characterization of the spaces $S^{k/k+1}_{1/k+1}$ by means of holomorphic semigroups
The Gel’fand–Shilov spaces $\mathfrak{S}_\alpha ^\beta ,{\alpha = 1}/ {(k + 1)},{\beta = k} /{(k + 1)}$, are special cases of a general type of test function spaces introduced by de Graaf. We give a self-adjoins operator so that the test functions in those $\mathfrak{S}_\alpha ^\beta $ spaces can be expanded in terms of the eigenfunctions of that self-adjoins operator.
- Technical University Eindhoven Netherlands
Linear symmetric and selfadjoint operators (unbounded), Groups and semigroups of linear operators, Topological linear spaces of test functions, distributions and ultradistributions, General theory of ordinary differential operators, Initial value problems for second-order parabolic equations, analyticity domain, positive self-adjoint operator
Linear symmetric and selfadjoint operators (unbounded), Groups and semigroups of linear operators, Topological linear spaces of test functions, distributions and ultradistributions, General theory of ordinary differential operators, Initial value problems for second-order parabolic equations, analyticity domain, positive self-adjoint operator
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