Abstract
In this chapter, differentiation and integration of operators defined on a Banach space into another Banach space are introduced. Basic concepts of distribution theory and Sobolev spaces are discussed, both concepts play very significant role in the theory of partial differential equations. A lucid presentation of these two topics is given.
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Siddiqi, A.H. (2018). Differential and Integral Calculus in Banach Spaces. In: Functional Analysis and Applications. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3725-2_5
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DOI: https://doi.org/10.1007/978-981-10-3725-2_5
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3724-5
Online ISBN: 978-981-10-3725-2
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