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Band 157 - 11%

Integration and Probability

Aus der Reihe Graduate Texts in Mathematics
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84,99 € UVP 96,29 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.06.1995

Abbildungen

XXII, 326 p.

Verlag

Springer Us

Seitenzahl

326

Maße (L/B/H)

24/16,1/2,5 cm

Gewicht

695 g

Auflage

1995

Übersetzt von

L. Kay

Sprache

Englisch

ISBN

978-0-387-94409-8

Beschreibung

Rezension

"If I were asked to recommend texts to research students who need a grounding in integration theory this book would be on the list...The book is excellent" - C. Barnett, Imperial College of Science, Technology and Medicine, London

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.06.1995

Abbildungen

XXII, 326 p.

Verlag

Springer Us

Seitenzahl

326

Maße (L/B/H)

24/16,1/2,5 cm

Gewicht

695 g

Auflage

1995

Übersetzt von

L. Kay

Sprache

Englisch

ISBN

978-0-387-94409-8

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Integration and Probability
  • Produktbild: Integration and Probability
  • Produktbild: Integration and Probability
  • I Measurable Spaces and Integrable Functions.- 1 ?-algebras.- 2 Measurable Spaces.- 3 Measures and Measure Spaces.- 4 Negligible Sets and Classes of Measurable Mappings.- 5 Convergence in Mµ ((X,A);(Y,BY)).- 6 The Space of Integrable Functions.- 7 Theorems on Passage to the Limit under the Integral Sign.- 8 Product Measures and the Fubini-Lebesgue Theorem.- 9 The Lp Spaces.- II Borel Measures and Radon Measures.- 1 Locally Compact Spaces and Partitions of Unity.- 2 Positive Linear Functionals onCK(X) and Positive Radon Measures.- 3 Regularity of Borel Measures and Lusin’s Theorem.- 4 The Lebesgue Integral on R and on Rn.- 5 Linear Functionals on CK(X) and Signed Radon Measures.- 6 Measures and Duality with Respect to Spaces of Continuous Functions on a Locally Compact Space.- III Fourier Analysis.- 1 Convolutions and Spectral Analysis on Locally Compact Abelian Groups.- 2 Spectral Synthesis on Tn and Rn.- 3 Vector Differentiation and Sobolev Spaces.- 4 Fourier Transform of Tempered Distributions.- 5 Pseudo-differential Operators.- IV Hilbert Space Methods and Limit Theorems in Probability Theory.- 1 Foundations of Probability Theory.- 2 Conditional Expectation.- 3 Independence and Orthogonality.- 4 Characteristic Functions and Theorems on Convergence in Distribution.- 5 Theorems on Convergence of Martingales.- 6 Theory of Differentiation.- V Gaussian Sobolev Spaces and Stochastic Calculus of Variations.- 1 Gaussian Probability Spaces.- 2 Gaussian Sobolev Spaces.- 3 Absolute Continuity of Distributions.- Appendix I. Hilbert Spectral Analysis.- 1 Functions of Positive Type.- 2 Bochner’s Theorem.- 3 Spectral Measures for a Unitary Operator.- 4 Spectral Decomposition Associated with a Unitary Operator.- 5 Spectral Decomposition for Several Unitary Operators.- AppendixII. Infinitesimal and Integrated Forms of the Change-of-Variables Formula.- 1 Notation.- 2 Velocity Fields and Densities.- Exercises for Chapter I.- Exercises for Chapter II.- Exercises for Chapter III.- Exercises for Chapter IV.- Exercises for Chapter V.