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2015 | OriginalPaper | Buchkapitel

1. Function spaces and distributions

verfasst von : Sabir Umarov

Erschienen in: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Verlag: Springer International Publishing

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Abstract

This chapter is devoted to function and distribution spaces. We first recall definitions of some well-known classical function and distribution spaces, simultaneously introducing the terminology and notations used in this book. Then we introduce (see Section 1.10) a new class of test functions and the corresponding space of distributions (generalized functions), which play an important role in the theory of pseudo-differential operators with singular symbols introduced in Chapter 2 By singular symbols we mean, if not otherwise assumed, symbols singular in dual variables.

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Nächstes Kapitel Pseudo-differential operators with singular symbols (ΨDOSS)

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Titel: Function spaces and distributions
verfasst von: Sabir Umarov
Verlag: Springer International Publishing
Buch: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Print ISBN: 978-3-319-20770-4

Electronic ISBN: 978-3-319-20771-1

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-20771-1_1

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