The comparison theorem for Hilbert spaces of entire functions |
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| Authors: | Louis de Branges |
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| Institution: | 1. Department of Mathematics, Purdue University, 47907, Lafayette, Indiana, USA
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| Abstract: | A generalization of the Sturm comparison theorem is obtained for formally self-adjoint ordinary differential operators of finite order given in canonical form. The result is stated within the vector theory of Hilbert spaces of entire functions when the coefficient space is a finite-dimensional vector space. |
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