In mathematical analysis, Krein's condition provides a necessary and sufficient condition for exponential sums { ∑ k = 1 n a k exp ⁡ ( i λ k x ) , a k...

Tannaka–Krein duality Krein–Milman theorem and Krein–Rutman theorem in functional analysis Krein space Krein's condition for the indeterminacy of the problem of...

energy Carleman's condition — condition guaranteeing that a measure is uniquely determined by its moments Krein's condition — condition that exponential...

other measures giving the same family of orthogonal polynomials (see Krein's condition). Koekoek et al. (2010) give in Section 14.27 a detailed list of the...

Hamiltonian cycles. Biggs, Norman L. (1976), "Automorphic graphs and the Krein condition", Geometriae Dedicata, 5 (1): 117–127, doi:10.1007/BF00148146. Biggs...

Cauliflower ear is an irreversible condition that occurs when the external portion of the ear is hit and develops a blood clot or other collection of...

generalization of the Fourier transform to noncommutative groups is Tannaka–Krein duality, which replaces the group of characters with the category of representations...

left half plane. Passing to the non-commutative setting, this motivates Krein's formula which parametrizes the extensions of partial isometries. The cumulative...

discovered (or rediscovered) almost simultaneously by mathematicians Mark Krein and collaborators as G-Hamiltonian[clarification needed] in the study of...

a measure μ {\displaystyle \mu } if and only if a certain positivity condition is fulfilled; namely, the Hankel matrices H n {\displaystyle H_{n}} ,...

Springer-Verlag, New York, 1997. Prop. III.5.1 I. C. Gohberg and M. G. Krein. Introduction to the Theory of Linear Non-selfadjoint Operators. American...

modern American society, often described as 'values', America's cultural condition was in decline with respect to the situations of 30 years ago, 1963. The...

chain Quantum Markov chain Telescoping Markov chain Markov condition Causal Markov condition Markov model Hidden Markov model Hidden semi-Markov model...

Because there is no treatment for Krabbe disease, management of the condition is typically supportive and aimed at alleviating symptoms. Frequent evaluation...

October 2021. Retrieved 6 October 2021. Kreins (2003), p.64 Michel Pauly, Geschichte Luxemburgs 2013 p.65 Kreins (2003), p. 66 Michel Pauly, Geschichte...

fundamental results of functional analysis, the Banach–Alaoglu theorem and the Krein–Milman theorem.[citation needed] It also affects the study of infinite groups...

linear functional f of norm 1. If A has a multiplicative unit element this condition is equivalent to f(1) = 1. For a representation π of a C*-algebra A on...

∅ {\displaystyle S+\emptyset =\emptyset } . Theorem 3 (pages 562–563): Krein, M.; Šmulian, V. (1940). "On regularly convex sets in the space conjugate...

prolonged hospital stay, and increased cost and mortality. Meddings J, Saint S, Krein SL, Gaies E, Reichert H, Hickner A, McNamara S, Mann JD, Mody L (May 2017)...

and positive semi-definite (p.s.d.) kernels, which do not impose this condition. Note that this is equivalent to requiring that every finite matrix constructed...

(subshifts of finite type); to economics (Okishio's theorem, Hawkins–Simon condition); to demography (Leslie population age distribution model); to social...

This is because of the condition of semisimplicity which needs to be checked by the Maschke's theorem. Under Tannaka–Krein duality, every fusion category...

\varepsilon (h_{(1)})h_{(2)}=h=h_{(1)}\varepsilon (h_{(2)})} is a sufficient condition for the existence of the trivial module. It follows that in order for...

convergence of a periodic function f are as follows: If f satisfies a Holder condition, then its Fourier series converges uniformly. If f is of bounded variation...

existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and others. Suppose that Σ {\displaystyle \Sigma } is a...

representations of quantum groups in 2 and 3 dimensions using the Tannaka–Krein duality. Michael A. Levin and Xiao-Gang Wen have also defined string-nets...

were Kōsaku Yosida, Ralph Phillips, Isao Miyadera, and Selim Grigorievich Krein. Let A {\displaystyle A} and B {\displaystyle B} be two linear operators...

from the canonical quantization formalism. This esoteric consistency condition therefore comes quite close to explaining how quanta and fermions arise...

scattering problems, after the seminal work of the Russian mathematical school (Krein, Gelfand, Levitan, Marchenko). A large review of the results has been given...

{\displaystyle \lambda } satisfying this condition is called an analytically integral element. This integrality condition is related to, but not identical to...