Shift-modulation invariant spaces on LCA groups

• Autorzy: Carlos Cabrelli , Victoria Paternostro
• Języki publikacji: EN

Abstrakty

EN

A (K,Λ) shift-modulation invariant space is a subspace of L²(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Ĝ, respectively.
We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for $L²(ℝ^{d})$. We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 43A77: Analysis on general compact groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 211
• Numer: 1
• Strony: 1-19

Daty

wydano

2012

Twórcy

autor

Carlos Cabrelli

• Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
• IMAS-CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina

autor

Victoria Paternostro

• Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina

Identyfikatory

DOI

10.4064/sm211-1-1