In complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower...

In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves...

Area theorem (conformal mapping) (complex analysis) Beurling–Lax theorem (Hardy spaces) Bloch's theorem (complex analysis) Bôcher's theorem (complex analysis)...

In complex analysis, an area of mathematics, Montel's theorem refers to one of two theorems about families of holomorphic functions. These are named after...

theorem provides a related estimate in the case that f {\displaystyle f} is univalent. Nevanlinna–Pick interpolation Kobayashi hyperbolicity Bloch's principle...

Most important works of Bloch belong to complex analysis. His early contribution is known as Bloch's theorem. This theorem asserts the existence of a...

necessarily true. A further generalization appears in the context of Bloch's theorems and Floquet theory, which govern the solution of various periodic differential...

that depend on analysis and geometry, such as the Bloch sphere of quantum mechanics and in other branches of physics. The extended complex numbers consist...

such as crystals in condensed matter physics, the result is known as Bloch's theorem. Note that the solutions of the linear differential equation form a...

differentiable. ATS theorem Carleson's theorem Dirichlet kernel Discrete Fourier transform Fast Fourier transform Fejér's theorem Fourier analysis Fourier inversion...

In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from...

In the mathematical field of complex analysis, Nevanlinna theory is part of the theory of meromorphic functions. It was devised in 1925, by Rolf Nevanlinna...

investigated including the proof of the Atiyah–Singer index theorem. The development of complex geometry was spurred on by parallel results in algebraic...

(2013). "An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis". Physics Letters A. 377 (39): 2709–2711...

concepts originally discovered in complex analysis (such as Schwarz's theorem, Morera's theorem, the Weierstrass-Casorati theorem, Laurent series, and the classification...

economic theory needed to use functional analysis, especially convex sets and the topological fixed-point theorem, rather than the traditional differential...

periodic potential. The solutions in this case are known as Bloch states. Since Bloch's theorem applies only to periodic potentials, and since unceasing...

Meta-analysis is a method of synthesis of quantitative data from multiple independent studies addressing a common research question. An important part...

Poisson summation formula arises as a particular case of the Convolution Theorem on tempered distributions, using the Dirac comb distribution and its Fourier...

quasiperiods, the periods of the corresponding Weierstrass ℘ function. Bloch's theorem says that the eigenfunctions of a periodic Schrödinger equation (or...

model and the nearly-free electron model, where it is used alongside Bloch's theorem. In quantum mechanics, this approximation is often used to simplify...

In mathematics, more specifically in mathematical analysis, the Cauchy product is the discrete convolution of two infinite series. It is named after the...

Retrieved 2016-03-18. Geisser, Thomas; Levine, Marc (2001). "The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky". Journal für die Reine und Angewandte...

from investigations based on these two theorems, particularly Forward Compositions Theorem, include location analysis for the limits obtained in the following...

Maximum power transfer theorem Norton's theorem Electric power Sheet resistance Superposition theorem Thermal noise Thévenin's theorem Uses LED-Resistor circuit...

that also follows from group representation theory as a variant of Bloch's theorem.[page needed] In particular, if a circulant Hermitian matrix is considered...

analysis in the 20th century. Fundamental theorem of algebra (see History). Many incomplete or incorrect attempts were made at proving this theorem in...

(classical analytic tools such as intermediate value theorem at the archimedean places and p-adic analysis at the nonarchimedean places) can be used. This...

primarily concerned Complex analysis, potential theory, and the relations of these ideas to approximation theory, harmonic analysis, integral geometry...

often the response becomes easier to compute. For example, in Fourier analysis, the stimulus is written as the superposition of infinitely many sinusoids...