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Titlebook: Introduction to Pseudodifferential and Fourier Integral Operators; Pseudodifferential O Fran?ois Treves Book 1980 Springer Science+Business

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發(fā)表于 2025-3-21 17:01:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Introduction to Pseudodifferential and Fourier Integral Operators
副標(biāo)題Pseudodifferential O
編輯Fran?ois Treves
視頻videohttp://file.papertrans.cn/475/474080/474080.mp4
叢書名稱University Series in Mathematics
圖書封面Titlebook: Introduction to Pseudodifferential and Fourier Integral Operators; Pseudodifferential O Fran?ois Treves Book 1980 Springer Science+Business
描述I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters usually begin with a section in which the construction of special solutions of linear partial differential equations is carried out, constructions from which the subsequent theory has emerged and which continue to motivate it: parametrices of elliptic equations in Chapter I (introducing pseudodifferen- tial operators of type 1, 0, which here are called standard), of hypoelliptic equations in Chapter IV (devoted to pseudodifferential operators of type p, 8), fundamental solutions of strongly hyperbolic Cauchy problems in Chap- ter VI (which introduces, from a "naive" standpoint, Fourier integral operators), and of certain nonhyperbolic forward Cauchy problems in Chapter X (Fourier integral operators with complex phase). Several chapters-II, I
出版日期Book 1980
關(guān)鍵詞Cauchy problem; differential equation; differential operator; equation; partial differential equation; pr
版次1
doihttps://doi.org/10.1007/978-1-4684-8780-0
isbn_softcover978-1-4684-8782-4
isbn_ebook978-1-4684-8780-0
copyrightSpringer Science+Business Media New York 1980
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沙發(fā)
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板凳
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https://doi.org/10.1007/978-1-4684-8780-0Cauchy problem; differential equation; differential operator; equation; partial differential equation; pr
地板
發(fā)表于 2025-3-22 06:43:27 | 只看該作者
Special Topics and Applications,sts (J. J. Kohn and L. Nirenberg [1], L. Schwartz, A. Unterberger, and J. Bokobza [1, 2], Calderon himself, R. Seeley [1], L. H?rmander [4]) of the timeliness of a comprehensive and more precise theory.
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發(fā)表于 2025-3-22 10:52:44 | 只看該作者
Pseudodifferential Operators of Type (,,,), and given the name .. classes. Roughly speaking the properties of pseudodifferential operators of type (1, 0), our “standard” pseudodifferential operators (Chapter I), generalize well to type (., .) as long as we keep 0 ≤ . < ? < ., as shown in Section 2.
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發(fā)表于 2025-3-22 13:42:06 | 只看該作者
Book 1980, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters u
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Fran?ois Trevesnd craft knowledge. ? This book stands at the crossroads of different disciplines and combinestheir approaches – particularly the history of science, the history of philosophy, contemporary philosophy of science, and intellectual and cultural history. It brings together over 100 philosophers, histor
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