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Let Us Use White Noise

Let Us Use White Noise

Hardcover

PhysicsProbability & Statistics

ISBN10: 9813220937
ISBN13: 9789813220935
Publisher: World Scientific Publishing Company
Published: Mar 23 2017
Pages: 232
Weight: 1.25
Height: 0.80 Width: 5.90 Depth: 9.10
Language: English

Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by time. And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist -- and not only he -- sits there with some heuristic ansatz, like e.g. the famous Feynman integral, wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman's integral can now be understood, the It's all in the vacuum ansatz of Haag and Coester is now making sense via Dirichlet forms, and so on in many fields of application. There is mathematical finance, there have been applications in biology, and engineering, many more than we could collect in the present volume.

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Probability & Statistics