In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces...

In mathematics, a Hilbert space (named for David Hilbert) generalizes the notion of Euclidean space. It extends the methods of linear algebra and calculus...

In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution...

Hilbert ring Hilbert–Poincaré series Hilbert series and Hilbert polynomial Hilbert space Hilbert spectrum Hilbert system Hilbert transform Hilbert's arithmetic...

The Einstein–Hilbert action in general relativity is the action that yields the Einstein field equations through the stationary-action principle. With...

one-dimensional. This means the Fourier transform on a non-abelian group takes values as Hilbert space operators. The Fourier transform on compact groups is a major...

summable functions Z → C. The latter space is a Hilbert space and the Fourier transform is an isomorphism of Hilbert spaces. Its basis is {ei, i ∈ Z} with ei(j)...

kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Specifically, a Hilbert space...

in the algebra of observables that acts on the Hilbert space. Just as kets and bras can be transformed into each other (making |ψ⟩ into ⟨ψ|), the element...

"nonlocal" Riemann–Hilbert factorization problem (with convolution instead of multiplication) or a d-bar problem. The inverse scattering transform arose from...

0}|b_{n}(w)|^{2}\leq (1-|w|^{2})^{-1}.} The Beurling transform (also called the Beurling-Ahlfors transform and the Hilbert transform in the complex plane) provides one...

Poincaré group if for every ray Ψ of the Hilbert space and every group element (a, L) is given a transformed ray Ψ(a, L) and the transition probability...

a separable complex Hilbert space H {\displaystyle {\mathcal {H}}} . This vector is postulated to be normalized under the Hilbert space's inner product...

Fourier transform Integral transform Abel transform Fourier–Bessel series Neumann polynomial Y and H transforms Louis de Branges (1968). Hilbert spaces...

Courant & Hilbert 1962, §14. Gelfand & Shilov 1966–1968, I, §3.10. The numerical factors depend on the conventions for the Fourier transform. Bracewell...

the circle, the Hilbert transform on the circle and the real line, the Beurling transform in the complex plane and the Riesz transforms in Euclidean space...

are represented on the Hilbert space of states. The physical states in a quantum theory are represented by unit vectors in Hilbert space up to a phase factor...

operators of a Hilbert space. It was introduced by Ariyadasa Aluthge to study p-hyponormal linear operators. Let H {\displaystyle H} be a Hilbert space and...

}^{\infty }|{\tilde {f}}(c+it)|^{2}\,dt} In the study of Hilbert spaces, the Mellin transform is often posed in a slightly different way. For functions...

applies are self-adjoint operators or more generally normal operators on Hilbert spaces. The spectral theorem also provides a canonical decomposition, called...

article deals with applying generalizations of this concept to operators on Hilbert spaces of arbitrary dimension. Self-adjoint operators are used in functional...

(separable) complex Hilbert space H {\displaystyle {\mathcal {H}}} . This vector is postulated to be normalized under the Hilbert space inner product...

In 1958 he observes that a certain kind of proof system, referred to as Hilbert-style deduction systems, coincides on some fragment with the typed fragment...

achievements of David Hilbert were now considered. In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy...

Kyle Hilbert (born March 23, 1994) is a Republican member of the Oklahoma House of Representatives and the current Speaker of the Oklahoma House of Representatives...

theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics...

related to complex function theory, the conjugate Beurling transform or complex Hilbert transform and the Fredholm eigenvalues of bounded planar domains....

of Tomita's theory. Suppose that M is a von Neumann algebra acting on a Hilbert space H, and Ω is a cyclic and separating vector of H of norm 1. (Cyclic...

these relations are known by the names Sokhotski–Plemelj theorem and Hilbert transform. Let χ ( ω ) = χ 1 ( ω ) + i χ 2 ( ω ) {\displaystyle \chi (\omega...

boundedness on Lp(Rn). The archetypal singular integral operator is the Hilbert transform H. It is given by convolution against the kernel K(x) = 1/(πx) for...