This book will enable researchers and students of analysis to more easily understand research papers in which probabilistic methods are used to prove theorems of analysis, many of which have no other known proofs. The book assumes a course in measure and integration theory but requires little or no background in probability theory. It emplhasizes topics of interest to analysts, including random series, martingales and Brownian motion.
FREE Two-Day Shipping for Students. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
(1.1) Definition. For d N and p R with p > 0, let Lp(Rd) be the set of all Borel measurable functions f : Rd C such that f p := (Rd f(x) pdx) 1/p <. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
projective family, sure inequalities, real random variables, complex random variables, tight sequences, independent sequence, projective limit, convergence theorem, probability space, miscellaneous notes, outer measure, countable base, standard normal variable Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lebesgue's Dominated Convergence Theorem, New York, Monotone Convergence Theorem, Fubini's Theorem, Gaussian Hilbert, Schwarz's Inequality, Cambridge Univ, Hopf's Extension Theorem, Tonelli's Theorem, Academic Press, Wadsworth International Group, Central Limit Theorem, Lebesgue's Differentiation Theorem, Classical Real Analysis, Stochastic Processes, Distributions of Random Biased Dyadic Expansions, Lecture Notes, Apply Case, Characterization of Normal Distributions, Directed Filtrations, Kolmogorov's Existence Theorem, Pointwise Convergence of Submartingales, Series Having Centered Terms, Some Random Series of Functions, The Paley-Zygmund Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
(1.1) Definition. For d N and p R with p > 0, let Lp(Rd) be the set of all Borel measurable functions f : Rd C such that f p := (Rd f(x) pdx) 1/p <. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
projective family, sure inequalities, real random variables, complex random variables, tight sequences, independent sequence, projective limit, convergence theorem, probability space, miscellaneous notes, outer measure, countable base, standard normal variable Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lebesgue's Dominated Convergence Theorem, New York, Monotone Convergence Theorem, Fubini's Theorem, Gaussian Hilbert, Schwarz's Inequality, Cambridge Univ, Hopf's Extension Theorem, Tonelli's Theorem, Academic Press, Wadsworth International Group, Central Limit Theorem, Lebesgue's Differentiation Theorem, Classical Real Analysis, Stochastic Processes, Distributions of Random Biased Dyadic Expansions, Lecture Notes, Apply Case, Characterization of Normal Distributions, Directed Filtrations, Kolmogorov's Existence Theorem, Pointwise Convergence of Submartingales, Series Having Centered Terms, Some Random Series of Functions, The Paley-Zygmund Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 26
books:
See all 26 books this book cites
- Probability Theory (De Gruyter Studies in Mathematics) by Heinz Bauer on 5 pages
- Introduction to Classical Real Analysis (Wadsworth & Brooks/Cole Mathematics Series) by Karl R. Stromberg on 5 pages
- Probability Theory and Elements of Measure Theory (Probability and Mathematical Statistics) by Heinz Bauer on 5 pages
- Real and Abstract Analysis (Graduate Texts in Mathematics) (v. 25) by Edwin Hewitt on 4 pages
- Probability and Measure, 3rd Edition by Patrick Billingsley on 4 pages
See all 26 books this book cites
Books on Related Topics
(learn more)
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
