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Measure and Integration
ISBN-13:
9783319290461
Veröffentl:
2016
Seiten:
300
Autor:
Hari Bercovici
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult problems. ¿
Rings of sets.- Measurability.- Integrals and Measures.- Convergence Theorems for Lebesgue Integrals.- Existence and Uniqueness of Measures.- Signed Measures, Complex Measures and Absolute Continuity.- Measure and Topology.- Product Measures.- The Lp Spaces.- Fourier Analysis.- Standard Measure Spaces.
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