Titlebook: Distributions in the Physical and Engineering Sciences, Volume 1; Distributional and F Alexander I. Saichev,Wojbor Woyczynski Textbook 2018

GLEAN

Wolfgang Balzer,Karl R. Brendel, including the study of electromagnetic and turbulent hydrodynamic fields, image reconstruction algorithms, prediction of earthquakes and tsunami waves, and statistical analysis of economic data, is by now quite obvious.

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灰姑娘

OUTRE

Resign

https://doi.org/10.1007/978-3-658-15124-9In this chapter we study the . and investigate its properties for functions .(.) depending on a single variable . which will be interpreted as time.

Melanoma

男学院

https://doi.org/10.1007/978-3-642-85286-2The theory of distributions has a flavor similar to the theory of summation of divergent series and integrals and, as we have seen in Chapter 6, is closely related to the theory of singular integrals.

Acclaim

Basic Definitions and OperationsThe notion of a . (or a . term often used in other languages) is a comparatively recent invention, although the concept is one of the most important in mathematical areas with physical applications. By the middle of the 20th century, the theory took final shape, and distributions are commonly used by physicists and engineers today.

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Basic Applications: Rigorous and PragmaticIn this section we give a couple of seemingly naive physical examples. Keeping them in mind, however, reinforces appropriate intuitive images of distributions that help solidify a formal mathematical understanding of the theory, and make it easier to grasp the automation of computations that can be achieved with help of distribution theory.

JAUNT

Fourier TransformIn this chapter we study the . and investigate its properties for functions .(.) depending on a single variable . which will be interpreted as time.