- tempered distributions
- (S')vaimennetut distribuutiot (S')
English-Finnish mathematical dictionary. 2011.
English-Finnish mathematical dictionary. 2011.
Tempered representation — In mathematics, a tempered representation of a linear semisimple Lie group is a representation that has a basis whose matrix coefficients lie in the L p space : L 2+ epsilon;( G ) for any epsilon; gt; 0. FormulationThis condition, as just given,… … Wikipedia
Tempered distribution — *Distribution (mathematics) (tempered distributions on Euclidean space) *Tempered representation (tempered distributions on semisimple groups) … Wikipedia
Stable and tempered stable distributions with volatility clustering - financial applications — Classical financial models which assume homoskedasticity and normality cannot explain stylized phenomena such as skewness, heavy tails, and volatility clustering of the empirical asset returns in finance. In 1963, Benoit Mandelbrot first used the … Wikipedia
Distribution (mathematics) — This article is about generalized functions in mathematical analysis. For the probability meaning, see Probability distribution. For other uses, see Distribution (disambiguation). In mathematical analysis, distributions (or generalized functions) … Wikipedia
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … 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
Cylinder set measure — In mathematics, cylinder set measure (or promeasure, or premeasure, or quasi measure, or CSM) is a kind of prototype for a measure on an infinite dimensional vector space. An example is the Gaussian cylinder set measure on Hilbert space. Cylinder … Wikipedia
Hardy space — In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the… … Wikipedia
Schwartz-Bruhat function — In mathematics, a Schwartz Bruhat function is a function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A tempered distribution is defined as a continuous linear functional on… … Wikipedia
Oscillatory integral — In mathematical analysis an oscillatory integral is a type of distribution. Oscillatory integrals make rigorous many arguments that, on a naive level, appear to use divergent integrals. It is possible to represent approximate solution operators… … Wikipedia