Search results for: NOETHER'S THEOREM

• A Noether theorem for stochastic operators on Schatten classes

  Publication

  • W. Bartoszek
  • K. Bartoszek

  - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS - Year 2017

  We prove that a stochastic (Markov) operator S acting on a Schatten class C_1 satisfies the Noether condition S'(A) = A and S'(A^2) = A^2, where A is a Hermitian bounded linear operator on a complex Hilbert space H, if and only if, S(E(G)XE(G)) = E(G)S(X)E(G) holds true for every Borel subset G of the real line R, where E(G) denotes the orthogonal projection coming from the spectral resolution of A. Similar results are obtained...

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• Application of Mazur-Orlicz`s theorem in AMISE calculation

  Publication

  • K. Dziedziul

  - Applicationes Mathematicae - Year 2002

  W pracy podano nowe wyprowadzenie formuły asymptotycznej błędu aproksymacji dla operatorów całkowych w przestrzeniach niezmienniczych na przesunięcia. Obliczono asymptotykę błędu średniokwakratowego dla estymatora gęstości.

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• About the Noether’s theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof

  Publication

  • J. Cresson
  • A. Szafrańska

  - Fractional Calculus and Applied Analysis - Year 2019

  Recently, the fractional Noether's theorem derived by G. Frederico and D.F.M. Torres in [10] was proved to be wrong by R.A.C. Ferreira and A.B. Malinowska in (see [7]) using a counterexample and doubts are stated about the validity of other Noether's type Theorem, in particular ([9],Theorem 32). However, the counterexample does not explain why and where the proof given in [10] does not work. In this paper, we make a detailed analysis...

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• Marek Czachor prof. dr hab.

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