Nikolaos D. Atreas

Learn More
The paper makes an attempt to introduce a new approach for detection of local singularities in signals, including one-dimensional time series and two-dimensional images. Inspired by a mode of antigen processing in the immune system, our approach is based on the rigorous mathematical methods of Discrete Tree Transform (DTT) and Singular Value Decomposition(More)
Let φ be a function in the Wiener amalgam space W∞(L 1) with a non-vanishing property in a neighborhood of the origin for its Fourier transform φ, τ = {τn} n∈Z be a sampling set on R and V τ φ be a closed subspace of L 2 (R) containing all linear combinations of τ-translates of φ. In this paper we prove that every function f ∈ V τ φ is uniquely determined(More)
  • 1