Übersetzung für 'square integrable' von Englisch nach Deutsch

square-integrable {adj}

quadratintegrierbarelectr.math.stat.

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integrable {adj}

integrierbarmath.

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locally integrable {adj}

lokal integrierbarmath.

uniformly integrable {adj}

gleichgradig integrierbarmath.

proper Riemann-integrable {adj}

eigentlich Riemann-integrierbarmath.

not Riemann-integrable {adj}

nicht Riemann-integrierbarmath.

improper Riemann-integrable {adj}

uneigentlich Riemann-integrierbarmath.

square {adj}

glattgestelltcomm.

eckig [quadratisch]

quadratisch

karreeförmig

viereckig

square

Geviert {n}

Quadratzahl {f}math.

zweite Potenz {f}math.

Platz {m}archi.urban

Winkel {m}tools

Viereck {n} [ugs.] [Quadrat]math.

Quadrat {n}math.

to square

zurichten [Stein, Holz]

glattstellencomm.

• Here we consider that of square-integrable functions defined on an interval of the real line, which is important, among others, for interpolation theory.
• More generally, a function of several complex variables that is square integrable over every compact subset of its domain is analytic if and only if it satisfies the Cauchy–Riemann equations in the sense of distributions.
• The sinc function of the radius has too long a tail to make a good filter (it is not even square-integrable).
• Notable statistician Sara van de Geer used empirical process theory and the Vapnik–Chervonenkis dimension to prove a least-squares estimator can be interpreted as a measure on the space of square-integrable functions.
• Note that the notation L2(R) usually denotes the Kolmogorov quotient, the set of equivalence classes of square integrable functions that differ on sets of measure zero, rather than simply the vector space of square integrable functions that the notation suggests.

• In formal terms, this representation is a wavelet series representation of a square-integrable function with respect to either a complete, orthonormal set of basis functions, or an overcomplete set or frame of a vector space, for the Hilbert space of square integrable functions.
• Whereas the central limit theorem for sums of random variables requires the condition of finite variance, the corresponding theorem for products requires the corresponding condition that the density function be square-integrable.
• The Dirac delta distribution is a densely defined unbounded linear functional on the Hilbert space L2 of square-integrable functions.
• is the unique (positive) normalizing factor such that "H" defines a linear complex structure on the Hilbert space of square-integrable real-valued functions on the real line.
• This version is called the "L2 index theorem," and was used by Atiyah and Schmid to give a geometric construction, using square integrable harmonic spinors, of Harish-Chandra's discrete series representations of semisimple Lie groups.

• Haar used these functions to give an example of an orthonormal system for the space of square-integrable functions on the unit interval [...].
• A solution that satisfies square-integrable initial conditions for [...] and [...] can be obtained from expansion of these functions in the appropriate trigonometric series.
• Convolution of [...] and [...] is also well defined when both functions are locally square integrable on [...] and supported on an interval of the form [...] (or both supported on [...]).