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searching for square-integrable function 16 found (39 total)

alternate case: Square-integrable function

Bergman kernel (477 words) [view diff] exact match in snippet view article find links to article

follows from the fundamental estimate, that for a holomorphic square-integrable function ƒ in D for every compact subset K of D. Thus convergence of a

Tensor product of Hilbert spaces (2,141 words) [view diff] no match in snippet view article find links to article

{\displaystyle f} is a square integrable function on X , {\displaystyle X,} and g {\displaystyle g} is a square integrable function on Y , {\displaystyle

Real analytic Eisenstein series (1,031 words) [view diff] exact match in snippet view article find links to article

classical elliptic modular function. Warning: E(z, s) is not a square-integrable function of z with respect to the invariant Riemannian metric on H. The

Parseval's theorem (1,813 words) [view diff] exact match in snippet view article find links to article

expressed as follows: Suppose f ( x ) {\displaystyle f(x)} is a square-integrable function over [ − π , π ] {\displaystyle [-\pi ,\pi ]} (i.e., f ( x ) {\displaystyle

Funk transform (1,195 words) [view diff] exact match in snippet view article find links to article

even continuous functions, and is furthermore invertible. Every square-integrable function f ∈ L 2 ( S 2 ) {\displaystyle f\in L^{2}(S^{2})} on the sphere

Segal–Bargmann space (2,026 words) [view diff] exact match in snippet view article find links to article

holomorphic is essential to this interpretation; if F were an arbitrary square-integrable function, it could be localized into an arbitrarily small region of the

Hilbert transform (8,169 words) [view diff] exact match in snippet view article find links to article

gives necessary and sufficient conditions for a complex-valued square-integrable function F(x) on the real line to be the boundary value of a function in

Wehrl entropy (2,358 words) [view diff] no match in snippet view article find links to article

\}} , and by L 2 ( Ξ ) {\displaystyle L^{2}(\Xi )} the space of square integrable function on Ξ with the measure d Ω = 2 J + 1 4 π sin ⁡ θ d θ d ϕ {\displaystyle

Hodge theory (4,339 words) [view diff] no match in snippet view article find links to article

=\|\omega \|^{2}<\infty ,} then the integrand is a real valued, square integrable function on M, evaluated at a given point via its point-wise norms, ‖ ω

Molecular Hamiltonian (5,204 words) [view diff] exact match in snippet view article find links to article

particle has as state function a plane wave function, which is a non-square-integrable function of well-defined momentum. The kinetic energy of this particle

Bessel function (12,329 words) [view diff] exact match in snippet view article find links to article

{1}{u}}\delta (u-v)} for α > −⁠1/2⁠. The Hankel transform can express any square-integrable function defined on [ 0 , ∞ ) {\displaystyle [0,\infty )} as an integral

Singular trace (3,733 words) [view diff] exact match in snippet view article find links to article

function, and Mf is the bounded operator Mf h(x) = (fh)(x) for any square-integrable function h in L2(X). Simultaneously, the expectation (4) is the limit at

3D rotation group (11,406 words) [view diff] no match in snippet view article find links to article

inner product on this space is given by If f is an arbitrary square integrable function defined on the unit sphere S2, then it can be expressed as where

Representation theory of the Lorentz group (19,763 words) [view diff] no match in snippet view article find links to article

{\displaystyle Y_{m}^{l}} are the spherical harmonics. An arbitrary square integrable function f on the unit sphere can be expressed as where the flm are generalized

Slepian function (2,839 words) [view diff] exact match in snippet view article find links to article

to any of these particularities, let f {\displaystyle f} be a square-integrable function of physical space, and let H {\displaystyle {\mathcal {H}}} represent

Representation theory of finite groups (21,294 words) [view diff] no match in snippet view article find links to article

} This may be done, by proving that there exists no non-zero square integrable function on G {\displaystyle G} orthogonal to all the irreducible characters