P-Adic Dual Shearlet Frames

We introduced the continuous and discrete p-adic shearlet systems. we restrict ourselves to a brief description of the p-adic theory and shearlets in real case. using the group gp consist of all p-adic numbers that all of its elements have a square root, we defined the continuous p-adic shearlet system associated with l2(q^2p). the discrete p-adic shearlet frames for l^2(q^2p) is discussed. also we prove that the frame operator s associated with the group gp of all with the shearlet frame sh(ψ;λ) is a fourier multiplier with a function in terms of ψˆ. for a measurable subset h⊂q^2p, we considered a subspace l^2(h)∨ of l^2(q2p). finally we give a necessary condition for two functions in l2(q^2p) to generate a p-adic dual shearlet tight frame via admissibility.