A rapidly decreasing function is a function that approaches zero faster than any polynomial as its input tends to infinity. These functions are significant in mathematical analysis and are often used in the study of Fourier transforms and Schwartz spaces due to their desirable decay properties.

Rapidly Decreasing Functions

rapidly decreasing function

Function approaches zero

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, representing a sum of terms. It is fundamental in algebra and calculus, serving as the building blocks for more complex mathematical functions and equations.

polynomial

Mathematical analysis is a branch of mathematics focused on limits, continuity, and the rigorous study of functions, sequences, and series. It provides the foundational framework for calculus and extends to more complex topics such as measure theory and functional analysis.

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