SHANNON-LIKE PARSEVAL FRAME WAVELETS ON SOME TWO STEP NILPOTENT LIE GROUPS
نویسندگان
چکیده
منابع مشابه
Shannon-Like Parseval Frame Wavelets on Some Two Step Nilpotent Lie Groups
We construct Shannon-like Parseval frame wavelets on a class of non commutative two-step nilpotent Lie groups. Our work was inspired by a construction given by Azita Mayeli on the Heisenberg group. The tools used here are representation theoretic. However, a great deal of Gabor theory is used for the construction of the wavelets. The construction obtained here is very explicit, and we are even ...
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Let N be a non-commutative, simply connected, connected, two-step nilpotent Lie group with Lie algebra n such that n = a⊕ b⊕ z, [a, b] ⊆ z, the algebras a, b, z are abelian, a = R-span {X1, X2, · · · , Xd} , and b = R-span {Y1, Y2, · · · , Yd} . Also, we assume that det [[Xi, Yj ]]1≤i,j≤d is a non-vanishing homogeneous polynomial in the unknowns Z1, · · · , Zn−2d where {Z1, · · · , Zn−2d} is a ...
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2013
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v84i4.10