Continuous Functions

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Continuous wavelet - In numerical analysis, continuous wavelets are functions used by the continuous wavelet transform. These functions are defined as analytic expressions, as functions either of time or of frequency.

Continuous Fourier transform - In mathematics, the continuous Fourier transform is a certain linear operator that maps functions to other functions. Loosely speaking, the Fourier transform decomposes a function into a continuous spectrum of the frequencies that comprise that function.

Continuous functional calculus - In mathematics, the continuous functional calculus of operator theory and C*-algebra theory allows applications of continuous functions to normal elements of a C*-algebra. More precisely,

Classification of discontinuities - Continuous functions are of utmost importance in mathematics and applications. However, not all functions are continuous, or a function might not be continuous everywhere.


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