Essentials of integration theory for analysis /
Stroock, Daniel W.
Essentials of integration theory for analysis / Integration theory for analysis Daniel W. Stroock. - 2nd ed. - New York : Springer, c2011. - xi, 243 p. ; 24 cm. - Graduate texts in mathematics ; 262 .
"A substantial revision of ... [the author's] A concise introduction to the theory of integration ... appropriate as a text for a one-semester graduate course in integration theory"--Back cover.
Includes bibliographical references and index.
The classical theory -- Measures -- Lebesgue integration -- Products of measures -- Changes of variable -- Basic inequalities and Legesgue spaces -- Hilbert space and elements of Fourier analysis -- The Radon-Nikodym theorem, Daniell integration, and Carathéodory's extension theorem.
9783030584801
Integrals, Generalized.
Measure theory.
Fourier analysis.
Integration, Functional.
Mathematical analysis.
515.42 / STE
Essentials of integration theory for analysis / Integration theory for analysis Daniel W. Stroock. - 2nd ed. - New York : Springer, c2011. - xi, 243 p. ; 24 cm. - Graduate texts in mathematics ; 262 .
"A substantial revision of ... [the author's] A concise introduction to the theory of integration ... appropriate as a text for a one-semester graduate course in integration theory"--Back cover.
Includes bibliographical references and index.
The classical theory -- Measures -- Lebesgue integration -- Products of measures -- Changes of variable -- Basic inequalities and Legesgue spaces -- Hilbert space and elements of Fourier analysis -- The Radon-Nikodym theorem, Daniell integration, and Carathéodory's extension theorem.
9783030584801
Integrals, Generalized.
Measure theory.
Fourier analysis.
Integration, Functional.
Mathematical analysis.
515.42 / STE