Journal papers


J1. N. Karantzas, N. Atreas, M. Papadakis, T Stavropoulos. On the design of multi-dimensional compactly supported Parseval framelets with directional characteristics. Linear Algebra Appl. 582 (2019), 1–36.

J2.  Nikolaos Atreas. Characterizations of dual multiwavelet frames of periodic functions, Int. J. Wavelets, Multiresolut. Inf. Process. 14 (3), 1610012 (26 pages), (2016) pdf

J3.  Nikolaos Atreas, Manos Papadakis, Theodoros Stavropoulos. Extension Principles for Dual Multiwavelet frames of L2(Rs) constructed from Multirefinable generators, J. Fourier Anal. Appl., 22 (4), 854-877, (2016) pdf

J4. Nikolaos Atreas, Antonios Melas, Theodoros Stavropoulos. Affine Dual Frames and Extension Principles, Applied Comput. Harmon. Anal., 36 (1), 51-62, (2014). pdf

J5. Nikolaos Atreas and Antonis Bisbas. Generalized Riesz Products produced from orthonormal transforms, Colloq. Math., 126 (2), 141-154, (2012). 

J6.  Nikolaos D. Atreas. On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of L2(R), Adv. Comput. Math., 36, 21-38, (2012).

J7. Nikolaos Atreas, Costas Karanikas. Boolean invertible matrices identified from two permutations and their corresponding Haar-type matrices, Linear Algebra Appl., 435, 95-105, (2011).

J8.  Nikolaos D. Atreas. Perturbed sampling formulas and local reconstruction in shift-invariant spaces, J. Math. Anal. Appl., 377, 841-852, (2011).

J9.  Nikolaos D. Atreas. Detecting hidden periodicities on symbolic sequences, J. Interdiscip. Math., 12 (5), 639-646, (2009). pdf

J10. N. D. Atreas and P. Polychronidou. A Class of Sparse Invertible Matrices and Their Use for Non-Linear Prediction of Nearly Periodic Time Series with Fixed Period, Numer. Funct. Anal. Optimiz., 29 (1-2), 66-87, (2008).

J11.  Ν. D. Atreas, C. Karanikas and P. Polychronidou. A Class of Sparse Unimodular Matrices Generating Multiresolution and Sampling Analysis for Data of any Length, SIAM J. Matrix Anal. Appl., 30 (1), 312-323, (2008).

J12.  N. D. Atreas and C. Karanikas. Multiscale Haar Unitary Matrices with the Corresponding Riesz Products and a Characterization of Cantor - Type Languages, J. Fourier Anal. Appl., 13 (2), 197-210, (2007).

J13. Nikolaos D. Atreas and C. Karanikas. Discrete Sampling formulas on spaces of pM-periodic sequences with computational applications on edge detection, Numer. Funct. Anal. Optimiz., 26 (3), 285-301, (2005).

J14. N. Atreas, J. J. Benedetto and C. Karanikas. Local sampling for regular wavelet and Gabor expansions, Sampl. Theory Signal Image Process., 2 (1), 1-25, (2003). pdf

J15. N. Atreas, N. Bagis and C. Karanikas. The information loss error and the jitter error for regular sampling expansions, Sampl. Theory Signal Image Process., 1 (3), 261-276, (2002). pdf

J16. Nikolaos D. Atreas. New bounds for Truncation-type Errors on regular Sampling Expansions, Numer. Funct. Anal. Optimiz., 23 (7&8), 695-704, (2002).

J17.N. Atreas and C. Karanikas. Truncation Error on Wavelet Sampling Expansions, J. Comput. Anal. Appl., 2 (1), 89-102, (2000).

J18. N. Atreas and C. Karanikas. Gibbs Phenomenon on Sampling Series based on Shannon’s and Meyer’s wavelet Analysis, J. Fourier Anal. Appl., 5 (6), 575-588, (1999).


Conference proceedings


C1.  C. Karanikas and N. Atreas. Enumeration and Coding methods for a class of permutations and reversible Logical gates. Facta Universitatis. Series: Electronics and Energetics, 31, 2, 241-255, (2018). pdf

C2. N. Atreas, N. Karantzas, M. Papadakis and T. Stavropoulos. Exploring neuronal synapses with directional and symmetric filters with small support. Proceedings of SPIE, Wavelets and Sparsity XVII, V. 10394, id. 1039413, 18 pp., (2017)

C3.  Nikolaos Atreas and Costas Karanikas. Discrete Transforms produced from two natural numbers and applications. In: EUROCAST 2011, R. Moreno-Diaz et al. (Eds.), LNCS 6928, 304–310, 2012.

C4.  Nikolaos D. Atreas. On a class of multiscale transforms on L2[0,1) and their corresponding sampling theorem. In: Proceedings of the conference SampTA07  N. Atreas and C. Karanikas (Eds), 19-22, 2009. 

C5.  C. Karanikas and N. D. Atreas. On a Large Class of Non-Linear Coding Methods Based on Boolean Invertible Matrices, Facta Universitatis (Nis), Ser.: Elec. Energ., 21 (3), 365-372, (December 2008).

C6. Costas Karanikas, Nikolaos D. Atreas. Discrete type-Riesz Products. In:  Proceedings of the workshop Walsh and dyadic Analysis, R. Stankovic (Ed.), 137-143, Nis, 2008.

C7.  Nikolaos D. Atreas. A Walsh type Multiresolution Analysis. In: Proceedings of the workshop Walsh and dyadic Analysis, R. Stankovic (Ed.), 177-183, Nis, 2008.

C8. C. Karanikas, N. D. Atreas, A. Bakalakos, P. Polychronidou.  Discrete Transforms on Symbolic Sequences for String Matching, Pattern Recognition and Grammar Detection. In NATO Science for Piece and Security. Series D: Information and Communication security, O. Kounchev, R. Willems, V. Shalamanov, T. Tsachev (Eds), 12, 126-138, 2008.

C9. Nikolaos D. Atreas and C. Karanikas. Haar-type Orthonormal systems, data presentation as Riesz Products and a recognition on symbolic sequences, In: Frames and Operator Theory in Analysis and Signal Processing, Contemp. Math., 451, 1-9, (2008).

C10.   N. D. Atreas and C. Karanikas. A fast pattern matching algorithm based on prime numbers and hashing approximation. In NATO Science for Piece and Security. Series D: Information and Communication security, O. Kounchev, R. Willems, V. Shalamanov, T. Tsachev (Eds), 12, 118-126, (2008).

C11. Nikolaos D. Atreas, Costas Karanikas and Persefoni Polychronidou. Signal Analysis on Strings for Immune-type pattern recognition, Comp. Funct. Genom., 5 1, 69-74, (2004).

C12. Nikolaos D. Atreas, Costas G. Karanikas and A. O. Tarakanov. Signal Processing by an Immune Type Tree Transform. ICARIS 2003, J.Timmis et al. (Eds), LNCS 2787, 111-119, (2003).

C13. Nikolaos D. Atreas. Wavelet Decomposition and Sampling for p-adic Multiresolution Analysis. In Constructive Theory of Functions, B. Bojanov (Ed.), 198-204, DARBA, Sofia, 2003.


Book chapters


B1.  Ν. Αtreas and C. Karanikas. Reducing Gibbs ripples for some wavelet sampling series. In Advances in the Gibbs Phenomenon, Abdul J. Jerri (Ed.), Sampling Publishing, Potsdam, New York, 2011.

B2.  Ν. Αtreas. Sampling and Approximation in Shift Invariant subspaces of L2(R). In Harmonic Analysis and Applications, M. Rassias (Ed.), Springer, to appear (2021).