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OCoLC
20210517053725.2
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964384097
9783037196595
(electronic bk.)
3037196599
(electronic bk.)
3037191597
9783037191590
3037196599
3037191597
9783037191590
10.4171/159
doi
9783037191590
(OCoLC)958277713
(OCoLC)964384097
ocm00000001wrldshrocn958277713
LLB
eng
pn
LLB
OCLCQ
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OCLCF
OCLCQ
OCLCO
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DKU
AUW
BTN
IGB
D6H
STF
VTS
TXI
AGLDB
G3B
S8J
S9I
OCLCQ
TXMM
QA312
515.43
22
28xx
msc
Salamon, D.
(Dietmar),
author.
Measure and integration /
Dietmar A. Salamon.
Zürich, Switzerland :
European Mathematical Society Publishing House,
2016.
1 online resource (363 pages)
text
txt
rdacontent
computer
c
rdamedia
online resource
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rdacarrier
text file
PDF
rda
EMS textbooks in mathematics
Includes bibliographical references (pages 347394), and index.
Abstract measure theory  The Lebesgue measure  Borel measures  L [superscript p] spaces  The RadonNikodým theorem  Differentiation  Product measures  The Haar measure  Appendices.
The book is intended as a companion to a one semester introductory lecture course on measure and integration. After an introduction to abstract measure theory it proceeds to the construction of the Lebesgue measure and of Borel measures on locally compact Hausdorff spaces, $L̂p$ spaces and their dual spaces and elementary Hilbert space theory. Special features include the formulation of the Riesz Representation Theorem in terms of both inner and outer regularity, the proofs of the Marcinkiewicz Interpolation Theorem and the CalderonZygmund inequality as applications of Fubini's theorem and Lebesgue differentiation, the treatment of the generalized RadonNikodym theorem due to Fremlin, and the existence proof for Haar measures. Three appendices deal with Urysohn's Lemma, product topologies, and the inverse function theorem. The book assumes familiarity with first year analysis and linear algebra. It is suitable for second year undergraduate students of mathematics or anyone desiring an introduction to the concepts of measure and integration.
EBSCO eBook Academic Comprehensive Collection North America
Measure theory.
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EMS textbooks in mathematics.
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