Localization of functions defined on cantor group

2013 ◽  
Author(s):  
Aleksander V. Krivoshein ◽  
Elena A. Lebedeva
Keyword(s):  
Cantor Group

scholarly journals A Carleson type theorem for a Cantor group model of the scattering transform

Nonlinearity ◽  
2002 ◽  
Vol 16 (1) ◽  
pp. 219-246 ◽  
Author(s):  
Camil Muscalu ◽  
Terence Tao ◽  
Christoph Thiele
Keyword(s):  
Type Theorem ◽  
Group Model ◽  
Cantor Group ◽  
Scattering Transform

Wavelet expansions on the Cantor group

2014 ◽  
Vol 96 (5-6) ◽  
pp. 996-1007 ◽  
Author(s):  
Yu. A. Farkov
Keyword(s):  
Wavelet Expansions ◽  
Cantor Group

Measurable Cantor Group in R1

2015 ◽  
Vol 1 (1) ◽  
pp. 31-36
Author(s):  
Arsen R. Simonyan ◽  
Keyword(s):  
Cantor Group

Small Compact Actions on Chainable Continua

1986 ◽  
Vol 38 (3) ◽  
pp. 563-575 ◽  
Author(s):  
Juan A. Toledo
Keyword(s):  
Group Actions ◽  
Connected Manifold ◽  
Cantor Group ◽  
Period 2 ◽  
Indecomposable Continuum ◽  
Long Time ◽  
Chainable Continua ◽  
Small Period

1. Introduction. In 1931, Newman [9] showed that a connected manifold cannot accept arbitrarily small period-n homeomorphisms, for any n > 1. In this paper we are concerned with the existence of chainable continua with arbitrarily small homeomorphisms.For a long time the only known periodic homeomorphisms of chainable continua had periods 1, 2 or 4 [4]. Recently, Wayne Lewis [8] showed that the pseudo-arc admits periodic homeomorphisms of every order, as well as p-adic cantor group actions. We will see that such homeomorphisms can be made arbitrarily small.In Section 4, a different chainable indecomposable continuum accepting arbitrarily small period-2 homeomorphisms is constructed.

scholarly journals The discriminant invariant of Cantor group actions

2016 ◽  
Vol 208 ◽  
pp. 64-92 ◽  
Author(s):  
Jessica Dyer ◽  
Steven Hurder ◽  
Olga Lukina
Keyword(s):  
Group Actions ◽  
Cantor Group
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