Browsing Makale Koleksiyonu by Subject "Cantor Set"
Now showing items 1-4 of 4
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A Fractal Representation of the Complex Clifford Algebra Equivalent to the Fock Representation
(Birkhauser Verlag Ag, 2012)We construct a representation of the infinite dimensional complex Clifford algebra on the Hilbert space of square-integrable complex-valued functions on the Cantor set, which we show to be equivalent to the classical Fock ... -
On Self-Similar Subgroups in the Sense of IFS
(De Gruyter Open Ltd, 2018)In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers p are strong self-similar ... -
Representations of Clifford Algebras on Function Spaces on the Cantor Set
(Birkhauser Verlag Ag, 2011)We give a representation of the (infinite-dimensional) complex Clifford algebra on the Hilbert space of square-integrable complexvalued functions on the Cantor set. -
Self-similar groups in the sense of an iterated function system and their properties
(Academic Press Inc Elsevier Science, 2013)The notion of self-similarity in the sense of iterated function system (IFS) for compact topological groups is given by S. Kocak in Definition 3. In this work, first we give the definition of strong self-similar group in ...