Self-affine scaling sets in R 2. Memoirs of the American Mathematical Society; 1097 = Vol. 233,3.

Fu, Xiaoye; Gabardo, Jean-Pierre

ISBN 10: 1470410915 / ISBN 13: 9781470410919

Verlag: Providence, American Math. Soc, 2015

Beschreibung

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00043 9781470410919 Sprache: Englisch Gewicht in Gramm: 350.

Bestandsnummer des Verkäufers 2482542

Bibliografische Details

• Titel: Self-affine scaling sets in R 2. Memoirs of the American Mathematical Society; 1097 = Vol. 233,3.
• Verlag: Providence, American Math. Soc
• Erscheinungsjahr: 2015
• Sprache: Englisch
• ISBN-10: 1470410915
• ISBN-13: 9781470410919
• Einband: Softcover
• Gewicht: 350 Gramm
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

Inhaltsangabe

There exist results on the connection between the theory of wavelets and the theory of integral self-affine tiles and in particular, on the construction of wavelet bases using integral self-affine tiles. However, there are many non-integral self-affine tiles which can also yield wavelet basis. In this work, the author gives a complete characterization of all one and two dimensional A -dilation scaling sets K such that K is a self-affine tile satisfying BK=(K d1)⋃(K d2) for some d1,d2∈R2 , where A is a 2×2 integral expansive matrix with ∣detA∣=2 and B=At

Über die Autorin bzw. den Autor

Xiaoye Fu, The Chinese University of Hong Kong, Shatin, Hong Kong.

Jean-Pierre Gabardo, McMaster University, Hamilton, ON, Canada.