Based on the Conference on the Interaction Between Functional Analysis, Harmonic Analysis, and Probability Theory, held recently at the University of Missouri;Columbia, this informative reference offers up-to-date discussions of each distinct field;probability theory and harmonic and functional anal
Interaction Between Functional Analysis, Harmonic Analysis, and Probability
β Scribed by Nigel Kalton, Elias Saab, Stephen Montgomery-Smith
- Year
- 1995
- Tongue
- English
- Leaves
- 494
- Series
- Lecture Notes in Pure and Applied Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.
π SIMILAR VOLUMES
This classic text emphasizes theΒ stochastic processes and the interchange of stimuli between probability and analysis. Non-probabilistic topics include Fourier series and integrals in many variables; the Bochner integral; and the transforms of Plancherel, Laplace, Poisson, and Mellin.Β Most notable i
<p>Nineteenth-century studies of harmonic analysis were closely linked with the work of Joseph Fourier on the theory of heat and with that of P. S. Laplace on probability. During the 1920s, the Fourier transform developed into one of the most effective tools of modern probabilistic research; convers