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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 246))

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Abstract

For the convenience of the reader, we recall the main definitions and results on Sobolev spaces on intervals which are used in this monograph. For the general theory of Sobolev spaces, we refer the reader to [2]. However, in this monograph we are only concerned with Sobolev spaces on compact intervals, and therefore the particular results in [189, Chapter II] suffice, and it is some of those results which will be cited without proof here. Throughout this section we assume that a and b are real numbers with a < b.

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Möller, M., Pivovarchik, V. (2015). Sobolev Spaces and Differential Operators. In: Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications. Operator Theory: Advances and Applications, vol 246. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-17070-1_10

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