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Titlebook: A Course on Integration Theory; including more than Nicolas Lerner Textbook 2014 Springer Basel 2014 Fourier transformation.L^p spaces.Leb

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發(fā)表于 2025-3-21 19:47:10 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱A Course on Integration Theory
期刊簡稱including more than
影響因子2023Nicolas Lerner
視頻videohttp://file.papertrans.cn/141/140521/140521.mp4
發(fā)行地址Includes over 150 exercises with detailed solutions.Requires no prior knowledge of advanced mathematics although the results proven in the book are not elementary.Is self-contained, providing detailed
圖書封面Titlebook: A Course on Integration Theory; including more than  Nicolas Lerner Textbook 2014 Springer Basel 2014 Fourier transformation.L^p spaces.Leb
影響因子This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young‘s inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz‘s theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. ? A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measu
Pindex Textbook 2014
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Front Matterenten mit gest?rtem Schlaf oder beeintr?chtigender Tagesschl?frigkeit konsultiert werden, für Studenten der Medizin und Psychologie, sowie für interessierte Angeh?rige der Pflegeberufe und des medizinisch-technischen Dienstes..978-3-540-28840-4
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around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measu978-3-0348-0693-0978-3-0348-0694-7
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Textbook 2014 provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measu
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Integration on a Product Space,rg turn over in his grave. The incentives for the methodology in this book came from the rigorous demands of quantitative histochemistry and cytochemistry. These demands are specificity, simplicity, flexibility, and, of course, sensitivity—all likewise desirable attributes of methods for other purpo
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Convolution, this century. Reaction mechanisms were elucidated at a growing pace, and extremely powerful spectroscopic tools, such as infrared, nuclear magnetic resonance and mass spectrometry were introduced as everyday tools for a practising organic chemist. By the 1950s, many practitioners were ready to agree that alm978-94-010-4269-7978-94-011-0611-5
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