Do the conclusions of Exercise 7.1.49(a-b) hold for the space D(2) of second order differential operators L

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Do the conclusions of Exercise 7.1.49(a-b) hold for the space D(2) of second order differential operators L = p(x) D2 + q(x) D + r(x) where p, q, r are polynomials?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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