• In the mathematics of topological vector spaces, Minlos's theorem states that a cylindrical measure on the dual of a nuclear space is a Radon measure if...
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  • space A , {\displaystyle A,} the Bochner–Minlos theorem (after Salomon Bochner and Robert Adol'fovich Minlos) guarantees the existence and uniqueness...
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  • The Minlos–Sasonov theorem is a result from measure theory in topological vector spaces. It provides a sufficient condition for a cylindrical measure to...
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  • theory) Maharam's theorem (measure theory) Minlos's theorem (functional analysis) Monotone class theorem (measure theory) Prokhorov's theorem (measure theory)...
    78 KB (6,296 words) - 20:31, 6 July 2025
  • Thumbnail for White noise
    guaranteed by an extension of the Bochner–Minlos theorem, which goes under the name Bochner–Minlos–Sazanov theorem); analogously to the case of the multivariate...
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  • cylindrical measure can be extended to a Radon measure, such as Minlos theorem and Sazonov theorem. Let A {\displaystyle A} be a balanced, convex, bounded and...
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  • In mathematics, Bochner's theorem (named for Salomon Bochner) characterizes the Fourier transform of a positive finite Borel measure on the real line...
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  • Theorem on changes in stochastic processes Radonifying function Minlos–Sazonov theorem Schwartz, Laurent (1973), Radon measures on arbitrary topological...
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  • Thumbnail for Salomon Bochner
    integral, as it is now called, for vector-valued functions. Bochner's theorem on Fourier transforms appeared in a 1932 book. His techniques came into...
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  • important contributions to probability theory and mathematical physics. His theorem on the extension of cylindrical measures to Radon measures on the continuous...
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  • s>0} . Fourier inversion theorem Fourier transform § Tempered distributions Self-adjoint operator § Spectral theorem Minlos, R. A. (2001) [1994], "Rigged...
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  • Krylov–Bogolyubov theorem / Mar Law (stochastic processes) / (U:G) Location-scale family Lévy's continuity theorem / lmt (L:R) Minlos' theorem Moment problem /...
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  • ({\mathcal {Cyl}}(B,B')).} This follows from the Carathéodory's extension theorem, and is therefore also a measure in the classical sense. The consistency...
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  • Thumbnail for Andrey Kolmogorov
    Kolmogorov–Arnold theorem Kolmogorov–Arnold–Moser theorem Kolmogorov continuity theorem Kolmogorov's criterion Kolmogorov extension theorem Kolmogorov's three-series...
    31 KB (2,789 words) - 09:34, 15 July 2025
  • Thumbnail for Radon transform
    2231676. ISSN 1053-587X. S2CID 16276001. Helgason 1984, Theorem I.2.13. Helgason 1984, Theorem I.2.16. Nygren 1997. Kiehl & Weissauer (2001, Ch. IV, Cor...
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  • basic theorems themselves. The preparation required for this reduced the numbers of participants, but those who remained, including Robert Minlos and Anatoli...
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  • Thumbnail for Lorentz group
    written as the quotient space SO+(1, 3) / SO(3), due to the orbit-stabilizer theorem. Furthermore, this upper sheet also provides a model for three-dimensional...
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  • composition of two reflections, a special case of the Cartan–Dieudonné theorem. The finite subgroups of S O ( 3 ) {\displaystyle \mathrm {SO} (3)} are...
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  • sets are often used to define a measure, using the Kolmogorov extension theorem; for example, the measure of a cylinder set of length m might be given...
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  • _{x\in X}|f(x)|.} Conversely, by the Riesz–Markov–Kakutani representation theorem, each positive linear form on K(X) arises as integration with respect to...
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  • Thumbnail for Representation theory of the Lorentz group
    This is one of the conclusions of Cartan's theorem, the theorem of the highest weight. Hall (2015, Theorems 9.4–5.) Hall 2015, Section 8.2 The root system...
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  • Thumbnail for Stereographic projection
    by Synesius (c. 400 AD), and Apollonius's Conics (c. 200 BC) contains a theorem which is crucial in proving the property that the stereographic projection...
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  • ISBN 0-521-30225-0. 2e (2004) Cambridge: University Press ISBN 0-521-54649-4 Minlos, Robert Adol'fovich (2000). Introduction to Mathematical Statistical Mechanics...
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  • 5 July – Evgeny Golod, mathematician who proved the Golod–Shafarevich theorem on class field towers (b. 1935). 8 July – Tazir Kariyev, footballer (b...
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