multiplierˈmʌl təˌplaɪ ər
multiplier (n)
- plural
- multipliers
English Definitions:
multiplier, multiplier factor (noun)
the number by which a multiplicand is multiplied
multiplier (Noun)
A number by which another (the multiplicand) is to be multiplied.
multiplier (Noun)
An adjective indicating the number of times something is to be multiplied.
multiplier (Noun)
A ratio used to estimate total economic effect for a variety of economic activities.
multiplier (Noun)
Any of several devices used to enhance a signal
Multiplier
In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a specified function known as the multiplier or symbol. Occasionally, the term "multiplier operator" itself is shortened simply to "multiplier". In simple terms, the multiplier reshapes the frequencies involved in any function. This class of operators turns out to be broad: general theory shows that a translation-invariant operator on a group which obeys some regularity conditions can be expressed as a multiplier operator, and conversely. Many familiar operators, such as translations and differentiation, are multiplier operators, although there are many more complicated examples such as the Hilbert transform. In signal processing, a multiplier operator is called a "filter", and the multiplier is the filter's frequency response. In the wider context, multiplier operators are special cases of spectral multiplier operators, which arise from the functional calculus of an operator. They are also special cases of pseudo-differential operators, and more generally Fourier integral operators. There are natural questions in this field that are still open, such as characterizing the Lp bounded multiplier operators. In this context, multipliers are unrelated to Lagrange multipliers, except for the fact that they both involve the multiplication operation.p
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"multiplier." Kamus.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.kamus.net/english/multiplier>.
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