scholarly journals Some applications of the Menshov–Rademacher theorem

2021 ◽  
Vol 359 (7) ◽  
pp. 861-870
Author(s):  
Safari Mukeru
Keyword(s):  
Rademacher Theorem

scholarly journals An improved Menshov-Rademacher theorem

1996 ◽  
Vol 124 (3) ◽  
pp. 877-885 ◽  
Author(s):  
Ferenc Móricz ◽  
Károly Tandori
Keyword(s):  
Rademacher Theorem

A generalization of the Men’shov-Rademacher theorem

2009 ◽  
Vol 86 (5-6) ◽  
pp. 861-872 ◽  
Author(s):  
P. A. Yas’kov
Keyword(s):  
Rademacher Theorem

scholarly journals Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution

2019 ◽  
pp. 1-23
Author(s):  
Sergey Denisov ◽  
Liban Mohamed
Keyword(s):  
Wave Operators ◽  
Rademacher Theorem ◽  
Orthogonal Systems

Abstract We obtain generalizations of the classical Menchov–Rademacher theorem to the case of continuous orthogonal systems. These results are applied to show the existence of Moller wave operators in Schrödinger evolution.

Rademacher Theorem for Fréchet Spaces

2010 ◽  
Vol 33 (3) ◽  
pp. 263-275
Author(s):  
Caterina La Russa
Keyword(s):  
Fréchet Spaces ◽  
Rademacher Theorem

scholarly journals Deducing a Variational Principle with Minimal A Priori Assumptions

10.37236/9121 ◽  
2020 ◽  
Vol 27 (4) ◽  
Author(s):  
Andrew Krieger ◽  
Georg Menz ◽  
Martin Tassy
Keyword(s):  
Large Deviation Principle ◽  
Large Deviation ◽  
A Priori ◽  
Extension Theorem ◽  
Strict Convexity ◽  
General Nature ◽  
Local Surface ◽  
Graph Homomorphisms ◽  
Limit Shapes ◽  
Rademacher Theorem

We study the well-known variational and large deviation principle for graph homomorphisms from $\mathbb{Z}^m$ to $\mathbb{Z}$. We provide a robust method to deduce those principles under minimal a priori assumptions. The only ingredient specific to the model is a discrete Kirszbraun theorem i.e. an extension theorem for graph homomorphisms. All other ingredients are of a general nature not specific to the model. They include elementary combinatorics, the compactness of Lipschitz functions, and a simplicial Rademacher theorem. Compared to the literature, our proof does not need any other preliminary results like e.g. concentration or strict convexity of the local surface tension. Therefore, the method is very robust and extends to more complex and subtle models, as e.g. the homogenization of limit shapes or graph-homomorphisms to a regular tree.

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