Annales- Institut FourierKozma, G., Olevski, A.: Singular distributions, dimension of support, and symmetry of Fourier transform. Ann. Inst. Fourier 63 (4), 1205–1226 (2013). Available at: http://aif.cedram.org/item?id=AIF_2013__63_4_1205_...
The Fourier transform can be written as an integral F( k)=∫ dμ( x) K( k, x) f( x) over rotationally invariant quantities x. The kernel K, the average of exp ( iσ k· x) over the rotation group SO(3), is reduced to a single integral, ∫ J( {1}/{2}( A+ A) u) ...
The Fourier Transform on Quantum Euclidean Space We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and it... K Coulembier - 《Symmetry Integrability & Geometry Methods & Applications》 被引量: 7...
{j}}}_{{\rm{b}},{\rm{P}}}\) is the transient bound (virtual carrier) current density generated by the time-varying nonlinear polarization, \({{\bf{P}}}^{(2)}(t)\) (understood to be the inverse Fourier transform of \({{\bf{P}}}^{(2)}(\Omega )\), for notational ...
order thence to arrive at the 230 Fourier transforms of the Schoenflies-Fedorov groups a restriction has to be placed on the phase relations which corresponds to the exclusion of complex and antisymmetry elements in crystal space. 1. The problem and plan of this paper The Fourier transform of ...
Also, we show that there is an intriguing connection between SPT entanglement and the Fourier transform of the string order parameters, which are the traditional tool for detecting SPT phases. This leads to an algorithm for extracting the relevant information about the SPT phase of the system ...
Antisymmetric orbit functions determine a so-called antisymmetrized Fourier transform which is closely related to expansions of central functions in characters of irreducible representations of the group G. They also determine a transform on a finite set of points of F (the discrete antisymmetric orbit...
{P}}}\)is the transient bound (virtual carrier) current density generated by the time-varying nonlinear polarization,\({{\bf{P}}}^{(2)}(t)\)(understood to be the inverse Fourier transform of\({{\bf{P}}}^{(2)}(\Omega )\), for notational simplicity). This rectified polarization ...
In order to derive this, we calculate the leading term, and give an estimate for the error, in the asymptotic expansion of the charged moment (defined below); taking a Fourier transform then leads to the symmetry-resolved Rényi entropies. Fundamental to our proof is the asymptotic analysis ...
If G is abelian with dual group (~, then BIG ) is isomorphic to M((~) (Bochner's theorem), and A(G) is isomorphic to LI(G) under the inverse Fourier transform. Thus, for G non-abelian, B(G) and A(G) may be regarded as generalizations of M((J) and LI(~J), respectively....