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convolution theorem

См. также в других словарях:

  • Convolution theorem — In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms. In other words, convolution in one domain (e.g., time domain) equals point wise… …   Wikipedia

  • Titchmarsh convolution theorem — The Titchmarsh convolution theoremis named after Edward Charles Titchmarsh.The theorem describes the properties of the support of the convolutionof two functions. Titchmarsh convolution theorem E.C. Titchmarshproved the following theorem in 1926 …   Wikipedia

  • Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …   Wikipedia

  • Convolution power — In mathematics, the convolution power is the n fold iteration of the convolution with itself. Thus if x is a function on Euclidean space Rd and n is a natural number, then the convolution power is defined by where * denotes the convolution… …   Wikipedia

  • Convolution for optical broad-beam responses in scattering media — Photon transport theories, such as the Monte Carlo method, are commonly used to model light propagation in tissue. The responses to a pencil beam incident on a scattering medium are referred to as Green’s functions or impulse responses. Photon… …   Wikipedia

  • Symmetric convolution — In mathematics, symmetric convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution based processes such as Gaussian blur and taking the derivative of a… …   Wikipedia

  • Circular convolution — The circular convolution, also known as cyclic convolution, of two aperiodic functions occurs when one of them is convolved in the normal way with a periodic summation of the other function.  That situation arises in the context of the… …   Wikipedia

  • Produit de convolution — En mathématiques, le produit de convolution de deux fonctions f et g, qui se note généralement «   », est une autre fonction, obtenue à l aide d un calcul d intégrales, et généralisant l idée de moyenne glissante. En statistique, on… …   Wikipédia en Français

  • Dirichlet convolution — In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Johann Peter Gustav Lejeune Dirichlet, a German mathematician. Contents 1 Definition 2… …   Wikipedia

  • Negacyclic convolution — In mathematics, negacyclic convolution is a convolution between two vectors a and b. It is also called skew circular convolution or wrapped convolution. It results from multiplication of a skew circulant matrix, generated by vector a, with vector …   Wikipedia

  • Titchmarsh theorem — In mathematics, particularly in the area of Fourier analysis, the Titchmarsh theorem may refer to:* The Titchmarsh convolution theorem * The theorem relating real and imaginary parts of the boundary values of a H p function in the upper half… …   Wikipedia

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