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Titlebook: Analysis and Partial Differential Equations; Thomas Alazard Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive

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Yali Chen,Zhenxi Gong,Qiyan XingWe will focus on the function spaces introduced in the period 1935-1938 by Sobolev [174], and which have since played an absolutely central role in the study of partial differential equations.
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Yuji Chiba,Airi Tsuji,Kaori FujinamiIn this chapter, we aim to provide an introduction to microlocal analysis, which is the study of singularities of functions of several real variables.
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Topological Vector SpacesIn 1850,Weierstrass gave the first precise (“epsilon-delta”) definition of the concept of the limit of a function at a point. He used the notion of arbitrarily small numbers and the notation lim introduced by L’Huilier and used by Cauchy in his Analysis course.
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