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A Course on Integration Theory: including more than 150 exercises with detailed answers
Nicolas Lerner
€ 102.51
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Description for A Course on Integration Theory: including more than 150 exercises with detailed answers
Paperback. A Course on Integration Theory Num Pages: 492 pages, 12 black & white illustrations, 3 colour illustrations, biography. BIC Classification: PBKB; PBKL. Category: (P) Professional & Vocational. Dimension: 159 x 241 x 27. Weight in Grams: 774.
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 ... Read more
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 ... Read more
Product Details
Publisher
Birkhauser Verlag AG
Format
Paperback
Publication date
2014
Condition
New
Weight
764g
Number of Pages
492
Place of Publication
Basel, Switzerland
ISBN
9783034806930
SKU
V9783034806930
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Nicolas Lerner
Nicolas Lerner is Professor at Université Pierre and Marie Curie in Paris, France. He held professorial positions in the United States (Purdue University), and in France. His research work is concerned with microlocal analysis and partial differential equations. His recent book Metrics on the Phase Space and Non-Selfadjoint Pseudodifferential Operators was published by Birkhäuser. He was an invited section speaker ... Read more
Reviews for A Course on Integration Theory: including more than 150 exercises with detailed answers
“It is well written and the proofs are given in great detail, so that it can serve as a textbook for students as well as a reference for more advanced readers. It consists of nine chapters and an appendix devoted to making the book as self-contained as possible.” (José Rodríguez, Mathematical Reviews, October, 2016)