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Author : Ole Groth Jørsboe
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (468 download)
Download or read book Equivalence or singularity of Gaussian measures on function spaces written by Ole Groth Jørsboe and published by . This book was released on 1968 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ole Groth Jørsboe
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (734 download)
Download or read book Equivalences Or Singularity of Gaussian Measures on Function Spaces written by Ole Groth Jørsboe and published by . This book was released on 1968 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ole Groth Jørsboe
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.3/5 (91 download)
Download or read book Equivalence Or Singularity of Gaussian Measures on Function Spaces written by Ole Groth Jørsboe and published by . This book was released on 1968 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Kuelbs
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (3 download)
Download or read book On the Equivalence of Gaussian Measures Related to Banach Space-Valued Processes written by James Kuelbs and published by . This book was released on 1972 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the theory of operator-valued reproducing kernels a necessary and sufficient condition for equivalence or singularity of two Gaussian measures corresponding to a Banach space-valued stochastic processes is given. The characterization is in terms of operator-valued covariance kernels associated with these measures. The result is applied to the Wiener process with a Banach state space and an infinite dimensional extension of a result of Shepp is obtained. (Author).
Author : Ole Groth Jorsboe
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (92 download)
Download or read book Equivalence Or Singularity of Gaussion Measures on Function Spaces written by Ole Groth Jorsboe and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ole Groth Jørsboe
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (488 download)
Download or read book Equivalence on Singlurity of Gaussian Measures on Function Spaces written by Ole Groth Jørsboe and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Kukush
Publisher : John Wiley & Sons
ISBN 13 : 1786302675
Total Pages : 272 pages
Book Rating : 4.7/5 (863 download)
Download or read book Gaussian Measures in Hilbert Space written by Alexander Kukush and published by John Wiley & Sons. This book was released on 2020-02-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the nexus of probability theory, geometry and statistics, a Gaussian measure is constructed on a Hilbert space in two ways: as a product measure and via a characteristic functional based on Minlos-Sazonov theorem. As such, it can be utilized for obtaining results for topological vector spaces. Gaussian Measures contains the proof for Ferniques theorem and its relation to exponential moments in Banach space. Furthermore, the fundamental Feldman-Hájek dichotomy for Gaussian measures in Hilbert space is investigated. Applications in statistics are also outlined. In addition to chapters devoted to measure theory, this book highlights problems related to Gaussian measures in Hilbert and Banach spaces. Borel probability measures are also addressed, with properties of characteristic functionals examined and a proof given based on the classical Banach–Steinhaus theorem. Gaussian Measures is suitable for graduate students, plus advanced undergraduate students in mathematics and statistics. It is also of interest to students in related fields from other disciplines. Results are presented as lemmas, theorems and corollaries, while all statements are proven. Each subsection ends with teaching problems, and a separate chapter contains detailed solutions to all the problems. With its student-tested approach, this book is a superb introduction to the theory of Gaussian measures on infinite-dimensional spaces.
Author : Alain Berlinet
Publisher : Springer Science & Business Media
ISBN 13 : 1441990968
Total Pages : 369 pages
Book Rating : 4.4/5 (419 download)
Download or read book Reproducing Kernel Hilbert Spaces in Probability and Statistics written by Alain Berlinet and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.
Author : I.J. Good
Publisher : Springer
ISBN 13 : 3540382941
Total Pages : 167 pages
Book Rating : 4.5/5 (43 download)
Download or read book Information, Weight of Evidence. The Singularity Between Probability Measures and Signal Detection written by I.J. Good and published by Springer. This book was released on 2006-11-11 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir I. Bogachev
Publisher : American Mathematical Soc.
ISBN 13 : 147041869X
Total Pages : 450 pages
Book Rating : 4.4/5 (74 download)
Download or read book Gaussian Measures written by Vladimir I. Bogachev and published by American Mathematical Soc.. This book was released on 2015-01-26 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic exposition of the modern theory of Gaussian measures. It presents with complete and detailed proofs fundamental facts about finite and infinite dimensional Gaussian distributions. Covered topics include linear properties, convexity, linear and nonlinear transformations, and applications to Gaussian and diffusion processes. Suitable for use as a graduate text and/or a reference work, this volume contains many examples, exercises, and an extensive bibliography. It brings together many results that have not appeared previously in book form.
Author : Antonio F. Gualtierotti
Publisher : Springer
ISBN 13 : 3319223151
Total Pages : 1198 pages
Book Rating : 4.3/5 (192 download)
Download or read book Detection of Random Signals in Dependent Gaussian Noise written by Antonio F. Gualtierotti and published by Springer. This book was released on 2015-12-15 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the necessary mathematical basis to obtain and rigorously use likelihoods for detection problems with Gaussian noise. To facilitate comprehension the text is divided into three broad areas – reproducing kernel Hilbert spaces, Cramér-Hida representations and stochastic calculus – for which a somewhat different approach was used than in their usual stand-alone context. One main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberation-limited environment. Nonetheless, the general problems dealt with in the text also provide a useful framework for discussing other current research areas, such as wavelet decompositions, neural networks, and higher order spectral analysis. The structure of the book, with the exposition presenting as many details as necessary, was chosen to serve both those readers who are chiefly interested in the results and those who want to learn the material from scratch. Hence, the text will be useful for graduate students and researchers alike in the fields of engineering, mathematics and statistics.
Author : Michael Ruzhansky
Publisher : CRC Press
ISBN 13 : 1351142119
Total Pages : 588 pages
Book Rating : 4.3/5 (511 download)
Download or read book Advanced Topics in Mathematical Analysis written by Michael Ruzhansky and published by CRC Press. This book was released on 2019-01-08 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.
Author : United States. National Aeronautics and Space Administration
Publisher :
ISBN 13 :
Total Pages : 1556 pages
Book Rating : 4.:/5 (319 download)
Download or read book Technical Publications Announcements with Indexes written by United States. National Aeronautics and Space Administration and published by . This book was released on 1962 with total page 1556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Ruzhansky
Publisher : John Wiley & Sons
ISBN 13 : 1119414334
Total Pages : 1021 pages
Book Rating : 4.1/5 (194 download)
Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-04-11 with total page 1021 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.
Author : Palle Jorgensen
Publisher : World Scientific
ISBN 13 : 9811225796
Total Pages : 253 pages
Book Rating : 4.8/5 (112 download)
Download or read book Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory written by Palle Jorgensen and published by World Scientific. This book was released on 2021-01-15 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.
Author : Daniel Alpay
Publisher : Springer Nature
ISBN 13 : 3031214609
Total Pages : 424 pages
Book Rating : 4.0/5 (312 download)
Download or read book Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis written by Daniel Alpay and published by Springer Nature. This book was released on 2023-04-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.
Author : Vladimir Igorevich Bogachev
Publisher : American Mathematical Soc.
ISBN 13 : 082184993X
Total Pages : 506 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differentiable Measures and the Malliavin Calculus written by Vladimir Igorevich Bogachev and published by American Mathematical Soc.. This book was released on 2010-07-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of measures with respect to Lebesgue measure. In the infinite dimensional case new phenomena arise. For the first time a detailed account is given of the theory of differentiable measures, initiated by S. V. Fomin in the 1960s; since then the method has found many various important applications. Differentiable properties are described for diverse concrete classes of measures arising in applications, for example, Gaussian, convex, stable, Gibbsian, and for distributions of random processes. Sobolev classes for measures on finite and infinite dimensional spaces are discussed in detail. Finally, we present the main ideas and results of the Malliavin calculus--a powerful method to study smoothness properties of the distributions of nonlinear functionals on infinite dimensional spaces with measures. The target readership includes mathematicians and physicists whose research is related to measures on infinite dimensional spaces, distributions of random processes, and differential equations in infinite dimensional spaces. The book includes an extensive bibliography on the subject.
