TY - BOOK ID - 32935266 TI - Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory AU - Hytönen, Tuomas. AU - van Neerven, Jan. AU - Veraar, Mark. AU - Weis, Lutz. PY - 2017 SN - 3319698087 3319698079 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Banach spaces. KW - Probabilities. KW - Operator theory. KW - Mathematics. KW - Fourier analysis. KW - Functional analysis. KW - Partial differential equations. KW - Functional Analysis. KW - Operator Theory. KW - Fourier Analysis. KW - Partial Differential Equations. KW - Probability Theory and Stochastic Processes. KW - Functional analysis KW - Probability KW - Statistical inference KW - Combinations KW - Mathematics KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Functions of complex variables KW - Generalized spaces KW - Topology KW - Differential equations, partial. KW - Distribution (Probability theory. KW - Distribution functions KW - Frequency distribution KW - Characteristic functions KW - Probabilities KW - Partial differential equations KW - Analysis, Fourier KW - Mathematical analysis KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations UR - https://www.unicat.be/uniCat?func=search&query=sysid:32935266 AB - This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations. . ER -