«parseval equality»
۴۶ نتیجهRepresentation of Fourier Integral Operators using Shearlets
Traditional methods of time-frequency and multiscale analysis, such as wavelets and Gabor frames, have been successfully employed for representing most classes of pseudodifferential operators. However these methods are not equally effective in dealing with Fourier Integral Operat
Decompositions of frames and a new frame identity
If B < ∞ we call F = {fi}i∈I a Bessel sequence with Bessel bound B. If 0 < A ≤ B < ∞, then {fi}i∈I is a frame for K. If K 6= H we call {fi}i∈I a frame sequence in H. The largest A and the smallest B satisfying the above inequalities are called the optimal lower and upper frame bo
On the Fourier analysis of quasi-inner product C*-module-valued functions on LCA groups
Given a locally compact abelian group G and a quasi-inner product A-module (M, $\phi$) with $\phi$ a positive sesquilinear map on M, we introduce the Fourier transform for the Bochner integrable M-valued functions on G and investigate some of its properties including a Parseval t
Operators and Frames
Hilbert space frame theory has applications to various areas of pure mathematics, applied mathematics, and engineering. However, the question of how applying an invertible operator to a frame changes its properties has not yet been satisfactorily answered, and only partial result
Smart Hill Climbing Finds Better Boolean Functions
Block and stream ciphers are made from Boolean functions that usually require a compromise between several conflicting cryptographic criteria. Although some constructions exist to generate Boolean functions satisfying one or more criteria, such as balance and high nonlinearity, t
Uniqueness for an Inverse Quantum-Dirac Problem with Given Weyl Function
Abstract In this work, we consider a boundary value problem for q -Dirac equation. We prove orthogonality of the eigenfunctions, realness eigenvalues, and study asymptotic formulas eigenfunctions. show that eigenfunctions form complete system, obtain expansion formula with respec