J. L. Doob - Measure Theory (1994) [978-1-4612-0877-8].pdf

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Graduate Texts in Mathematics
143
S. Axler
Editorial Board
FW. Gehring P.R. Halmos
Springer Science+Business Media, LLC
Graduate Texts in Mathematics
TAKEUTI/ZARING. Introduetion to
Axiomatic Set Theory. 2nd ed.
OXTOBY. Measure and Category. 2nd ed.
SCHAEFER. Topological Vector Spaces.
HILTON/STAVIMBACH. A Course in
Homological Algebra. 2nd ed.
MAC LANE. Categories for the Working
Mathematician.
HUGIIES/PIPER. Projective Planes.
SERRE. A Course in Arithmetic.
TAKEUTI/ZARING. Axiomatic Set Thcory.
HUVlPHREYS. Introduction to Lie Algebras
and Reprcsentation Theory.
COHEN. A Course in Simple Homotopy
Theory.
CONWAY. Functions of One Complex
Variable
I.
2nd ed.
BEALS. Advanced Mathematical Analysis.
ANDERSON/FuLLER. Rings and Categories
of Modules. 2nd cd.
GOLUBITSKY/GUILl.EMIN. Stable Mappings
and Their Singularities.
BERBERIAN. Lectures in Functional
Analysis and Operator Theory.
WINTER. The Structure of Fields.
ROSENBLATI. Random Processes. 2nd ed.
HAl.MOS. Measurc Theory.
HALMOS. A Hilben Space Problem Book.
2nd cd.
HUSEMOLLER. Fibre Bund1es. 3rd ed.
HCMPHREYS. Linear Algebraic Groups.
BARNES/MACK. An Algebraic Introduction
to Mathematical Logie.
GREUB. Linear Algebra. 4th ed.
HOLMES. Geometrie Functional Analysis
and Its Applications.
HEWITT/STROMBERG. Real and Abstract
Analysis.
MANES. Algebraic Theories.
KELLEY. General Topology.
ZARlSKilSAMUEL. Commutative Algebra.
Vol.1.
ZARISKI/SAMUEL. Commutative Algcbra.
Vol.ll.
JACOBSON. Lcctures in Abstract Algebra
I.
Basic Concepts.
JACOBSON. Lectures in Abstract Algebra
11.
Linear Algebra.
JACOBSON. Lectures in Abstract Algebra
111. Theory of Fields and Galois Theory.
HIRSCH. Differential Topology.
SPIlLER. Principles of Random Walk.
2nd ed.
35 WERMER. Banach Algebras and Several
Complex Variables. 2nd ed.
36 KELLEY/NAVlIOKA et al. Linear
Topological Spaces.
37 MONK. Mathematical Logic.
38 GRAUERT/FRITLSCHE. Several Complex
Variables.
39
ARVESO~·i.
An Invitation to C*-Algebras.
40 KEVlENy/SNELLIKNAPP. Denumerable
Markov Chains. 2nd ed.
41 ApOSTOL. Modular Functions and
Dirichlet Series in Number Theory.
2nd cd.
42 SERRE. Linear Representations of Finite
Groups.
43 GILLMAN/JERISON. Rings of Continuous
Functions.
44 KENDIG. Elementary Algebraic Geometry.
45 LoEvE. Probability Theory
I.
4th ed.
46
LOEVE. Probability Theory
11.
4th ed.
47 MOISE. Geometrie Topology in
Dimensions 2 and 3.
48 SACHS/Wu. General Relativity for
Mathematicians.
49 GRUENBERG/WEIR. Linear Geometry.
2nd ed.
50 EDWARDS. Fermat's Last Theorem.
51 KUNGENBERG. A Course in Differential
Geometry.
52 HARTSHORNE. Algebraic Geometry.
53 MANIN. A Course in Mathematical Logic.
54 GRA VERlW ATKINS. Combinatorics with
Emphasis on the Theory of Graphs.
55 BROWN/PEARCY. Introduction to Operator
Theory I: Elcments of Functional
Analysis.
56 MASSEY. Algebraic Topology: An
Introduction.
57
CRowEuJFox.
Introduction to Knot
Theory.
58 KOBLITL p-adic Numbers, p-adic
Analysis, and Zeta-Functions. 2nd ed.
59 LANG. Cyc1otomic Fields.
60 ARNOLD. Mathematical Methods in
Classical Mcchanics. 2nd ed.
33
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continued after index
IL. Doob
Measure Theory
Springer
J.L.
Doob
101 West Windsor Road
Urbana,
IL
61801
USA
Editorial Board
S. Axler
Department of
Mathematics
Michigan State University
East Lansing,
MI
48824
USA
F.w.
Gehring
Department of
Mathematics
University of Michigan
Ann Arbor,
MI
48 \09
USA
P.R. Halmos
Department of
Mathematics
Santa Clara University
Santa Clara, CA 95053
USA
Mathematics Subject Classitication (1991 ): 28-0 I, 60A I 0, 60Bxx. 60Gxx
Library of Congress Cataloging-in-Publication Data
Doob.
J.
L.
Measure theory /
J.
L.
Doob
p.
cm. - <Graduate texts in mathematics ; 143)
Includes bibliographical references and index.
ISBN 978-1-4612-6931-1
ISBN 978-1-4612-0877-8 (eBook)
DOI 10.1007/978-1-4612-0877-8
I. Measure theory.
QA325.D66 1993
515 '.42-dc20
Printed on acid-free paper.
2. Probabilities.
I.
Title.
11. Series.
93-17497
©
1994 Springer Science+Business Media New York
Originally published by Springer-Verlag New YOlk, Inc. in 1994
Softcover reprint ofthe hardcover Ist edition 1994
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Production managed by Henry KreH: manufacturing supervised by Jacqui Ashri.
Camera-ready copy prepared from author's Microsoft Word files.
9876543
ISBN 978-1-4612-6931-1
SPIN 10636463

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