Quantum tomography with wavelet transform in Banach space on homogeneous space
نویسندگان
چکیده
منابع مشابه
Quantum tomography with wavelet transform in Banach space on Homogeneous space
The intimate connection between the Banach space wavelet reconstruction method on homogeneous spaces with both singular and nonsingular vacuum vectors, and some of well known quantum tomographies, such as: Moyal-representation for a spin, discrete phase space tomography, tomography of a free particle, Homodyne tomography, phase space tomography and SU(1,1) tomography is explained. Also both the...
متن کاملOn the Fourier transform for a symmetric group homogeneous space
By using properties of the Young orthogonal representation, this paper derives a simple form for the Fourier transform of permutations acting on the homogeneous space of n-dimensional vectors, and shows that the transform requires 2n− 2 multiplications and the same number of additions.
متن کاملSome Questions Arising from the Homogeneous Banach Space Problem
Abstract. We review the current state of the homogeneous Banach space problem. We then formulate several questions which arise naturally from this problem, some of which seem to be fundamental but new. We give many examples defining the bounds on the problem. We end with a simple construction showing that every infinite dimensional Banach space contains a subspace on which weak properties have ...
متن کاملA quantum homogeneous space of nilpotent matrices
A quantum deformation of the adjoint action of the special linear group on the variety of nilpotent matrices is introduced. New non-embedded quantum homogeneous spaces are obtained related to certain maximal coadjoint orbits, and known quantum homogeneous spaces are revisited. MSC: 16W35; 20G42; 17B37; 81R50
متن کاملBMO Space and its relation with wavelet theory
The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.
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: The European Physical Journal B
سال: 2007
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2007-00330-1