mathematics, the Hadamard three-line theorem is a result about the behaviour of holomorphic functions defined in regions bounded by parallel lines in the complex...

a special case of the Phragmén–Lindelöf principle. Also, see Hadamard three-lines theorem. Let Ω {\displaystyle \Omega } be a half-strip in the complex...

series Hadamard three-circle theorem, concerning the maxima of holomorphic functions within concentric circles in the complex plane. Hadamard three-lines theorem...

{\textstyle g_{z}} as constructed above. Indeed, if (3) holds true, by Hadamard three-lines theorem, | Φ ( θ + i 0 ) | = | ∫ Ω 2 ( T f ) g d μ 2 | ≤ ‖ T ‖ L p 0...

partial differential equations Hadamard's dynamical system, a type of chaotic dynamical system Hadamard three-lines theorem: a bound on the maximum modulus...

The Borel–Carathéodory theorem, which bounds an analytic function in terms of its real part. The Hadamard three-lines theorem, a result about the behaviour...

(complex analysis) Hadamard three-lines theorem (complex analysis) Hadwiger's theorem (geometry, measure theory) Hahn decomposition theorem (measure theory)...

In complex analysis, the Riemann mapping theorem states that if U {\displaystyle U} is a non-empty simply connected open subset of the complex number...

of the principle to functions bounded on the imaginary axis. Hadamard three-lines theorem The term region is not uniformly employed in the literature;...

efficiently simulated classically according to the Gottesman–Knill theorem. The Toffoli gate + Hadamard gate. The Toffoli gate alone forms a set of universal gates...