Dihedral group frames with the Haar property
نویسندگان
چکیده
منابع مشابه
Dihedral Group Frames Which Are Maximally Robust to Erasures
Let n be a natural number larger than two. Let D2n = ⟨r, s ∶ r = s = e, srs = r⟩ be the Dihedral group, and κ an n-dimensional unitary representation of D2n acting in C as follows. (κ(r)v)(j) = v((j−1) mod n) and (κ(s)v)(j) = v((n − j) mod n) for v = (v0,⋯, vn−1) ∈ C. For any representation which is unitarily equivalent to κ, we prove that when n is prime there exists a Zariski open subset E of...
متن کاملSymmetry classes of polynomials associated with the dihedral group
In this paper, we obtain the dimensions of symmetry classes of polynomials associated with the irreducible characters of the dihedral group as a subgroup of the full symmetric group. Then we discuss the existence of o-basis of these classes.
متن کاملGeneralized Haar Wavelets and Frames
Generalized Haar wavelets were introduced in connection with the problem of detecting specific periodic components in noisy signals. John Benedetto and I showed that the non–normalized continuous wavelet transform of a periodic function taken with respect to a generalized Haar wavelet is periodic in time as well as in scale, and that generalized Haar wavelets are the only bounded functions with...
متن کاملDarboux transformation with Dihedral reduction group
We construct the Darboux transformation with Dihedral reduction group for the 2–dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference equation. We also find its generalised symmetry and the Lax representation for this symmetry. Using formal diagonalisation of the Darboux matrix we ...
متن کاملsymmetry classes of polynomials associated with the dihedral group
in this paper, we obtain the dimensions of symmetry classes of polynomials associated with the irreducible characters of the dihedral group as a subgroup of the full symmetric group. then we discuss the existence of o-basis of these classes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2017
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2017.1337702