Curriculum Vitae

Nikolaos Atreas

Associate Professor, School of Electrical and Computer Engineering

Personal Information

- 2310995953
- 2310995953
natreas@ece.auth.gr
http://users.auth.gr/natreas
Scopus ID6507419865
Researcher IDP-1919-2017
MathSciNet ID661673
OrcID ID0000-0002-0369-8382
Γνωστικό Αντικείμενο:
Αρμονική Ανάλυση
Επιστημονική Ειδίκευση: Μαθηματικά

Education

Προπτυχιακές Σπουδές

1993	Πτυχίο Μαθηματικών ΑΠΘ Greece

Διδακτορικό Δίπλωμα

1999	ΔΔ Μαθηματικών AΠΘ Greece Aρμονική Ανάλυση

Course Work

Courses of Winter semester of 2018–19 academic year

	TMĪMA ĪLEKTROLOGŌN MĪCΗANIKŌN KAI MĪCΗANIKŌN YPOLOGISTŌN
ΜΑ0501	Applied Mathematics I
013	Applied Mathematics Ι

	TMĪMA CΗĪMIKŌN MĪCΗANIKŌN
ΜΑ3	MA3 Mathematics IΙΙ

	TMĪMA AGRONOMŌN KAI TOPOGRAFŌN MĪCΗANIKŌN
Υ07	APPLICATIONS OF MATHEMATICS

Theses Supervised

Student Theses within AUTh

2017–2018

Papadopoulos Panagiotis. Ανάλυση Fourier (Αρχές αβεβαιότητας στην Ανάλυση Fourier με εφαρμογές στην ανακατασκευή σήματος).

2008–2009

Dourani Maria. ΜΟΝΤΕΛΑ ΠΡΟΒΛΕΨΗΣ ΠΕΡΙΒΑΛΛΟΝΤΙΚΩΝ ΔΕΔΟΜΕΝΩΝ. ΜΟΝΤΕΛΟΠΟΙΗΣΗ ΤΟΥ ΟΖΟΝΤΟΣ
Tzokas Christos. ΑΛΓΟΡΙΘΜΟΙ ΑΝΑΓΝΩΡΙΣΗΣ ΣΥΜΒΟΛΟΣΕΙΡΩΝ ΜΕ ΕΦΑΡΜΟΓΕΣ ΣΤΑ ΒΙΟΛΟΓΙΚΑ ΔΕΔΟΜΕΝΑ
Loli Maria. ΘΕΩΡΙΑ ΠΛΑΙΣΙΩΝ ΚΑΙ ΚΡΥΠΤΟΓΡΑΦΙΑ

Administrative Work

Τμήματος
#	Από	Έως	Θέση Όργανο / Επιτροπή
3	2012	2013	Member, εσωτερική αξιολόγηση, Γενικό Τμήμα
1	2009	2013	Member, παραλαβής υλικών έως 4000 ευρώ, Γενικό Τμήμα
2	2009	2011	Member, πυρασφάλειας, Γενικό Τμήμα
4	2007	2009	Member, αναγνώρισης βαθμολογίας, Τμήμα Πληροφορικής ΑΠΘ
5	2007	2008	Head, παραλαβής υλικών έως 4000 ευρώ, Τμήμα Πληροφορικής ΑΠΘ

Research Projects

2015–2015

Συνέδριο: "Δυναμικά Πολύ-κλιμακωτά συστήματα"

Publications

2016

Journal Article

Atreas Nikolaos, Papadakis Manos, Stavropoulos Theodoros (2016). Extension Principles for Dual Multiwavelet Frames of L_2(R^s) constructed from multirefinable generators. Journal of Fourier Analysis and Applications. vol.22 no.4 p.854-877.
Atreas Nikolaos (2016). Characterizations of dual multiwavelet frames of periodic functions. International Journal of Wavelets Multiresolution and Information Processing. vol.14 no.3.

2012

Journal Article

Atreas Nikolaos, Bisbas Antonis (2012). Generalized Riesz Products Produced from Orthonormal Transforms. Colloquium Mathematicum. vol.126 no.2 p.141-154.
Atreas Nikolaos D (2012). On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of L-2(R). Advances in Computational Mathematics. vol.36 no.1 p.21-38.

Conference Proceedings Article

Atreas Nikolaos, Karanikas Konstantinos (2012). Discrete Transforms Produced from two Natural Numbers and Applications. Lecture Notes in Computer Science volume 6928. 13th International Conference on Computer Aided Systems Theory EUROCAST 2011. Las Palmas de Gran Canaria, Spain.

2011

Journal Article

Atreas Nikolaos, Karanikas Costas (2011). Boolean invertible matrices identified from two permutations and their corresponding Haar-type matrices. Linear Algebra and its Applications. vol.435 no.1 p.95-105.
Atreas Nikolaos D (2011). Perturbed sampling formulas and local reconstruction in shift invariant spaces. Journal of Mathematical Analysis and Applications. vol.377 no.2 p.841-852.

Book Chapter

Atreas Nikolaos, Karanikas Konstantinos (2011). Reducing Gibbs Ripples for Some Wavelet Sampling Series. Advances in the Gibbs Phenomenon. Sampling Publishing. p.335-361.

2009

Journal Article

Atreas Nikolaos (2009). Detecting Hidden Periodicities on Symbolic Sequences. Journal of Interdisciplenary Mathematics. vol.12 no.5 p.639-646.

Conference Proceedings Article

Atreas Nikolaos, Karanikas Konstantinos (2009). On a Class of Multiscale Transforms on L2[0, 1) and their Corresponding Sampling Theorem. Proceedings 6th International Conference on Sampling Theory & Applications (SAMPTA'2007). Thessaloniki,Greece. p.19-22.

2008

Journal Article

Atreas Nikolaos, Polychronidou R (2008). A class of sparse invertible matrices and their use for nonlinear prediction of nearly periodic time series with fixed period. Numerical Functional Analysis and Optimization. vol.29 no.1-2 p.66-87.
Atreas Nikolaos, Karanikas Konstantinos, Polychronidou P (2008). A class of sparse unimodular matrices generating multiresolution and sampling analysis for data of any length. Siam Journal on Matrix Analysis and Applications. vol.30 no.1 p.312-323.
Atreas Nikolaos D, Karanikas C (2008). Haar-type orthonormal systems, data presentation as Riesz products and a recognition on symbolic sequences. επιμ. Larson D. R, Massopust P, Nashed Z, Nguyen M. C, Papadakis M, Zayed A. Frames and Operator Theory in Analysis and Signal Processing. vol.451 p.1-9.
Karanikas Konstantinos, Atreas Nikolaos (2008). On a large class of Non-linear coding methods based on Boolean Invertible Matrices. Facta Universitatis (Nis), Ser. Electronics and Energetics. vol.21 no.3 p.365-372.
Karanikas Konstantinos, Atreas Nikolaos (2008). On a Large Class of Non-linear Coding Methods Based on Boolean Inverible Matrices. Facta Universitatis, Series: Electronics & Energetics. vol.21 no.3 p.349-365.

Conference Proceedings Article

Atreas Nikolaos (2008). A Walsh type Multiresolution Analysis. Proceedings of the Workshop Walsh and Dyadic Analysis. Walsh and Dyadic Analysis. Nis - Serbia. p.177-183.
Atreas Nikolaos, Karanikas Konstantinos (2008). Haar-type Orthonormal Systems, Data Presentation as Riesz Products and a Recognition on Symbolic Sequences. Proceedings Conference Frames and Operator Theory in Analysis & Signal Processing, Contemporary Mathematics. vol.451 p.1-9.
Karanikas Konstantinos, Atreas Nikolaos, Bakalakos A, Polychronidou P (2008). Discrete Transforms on Symbolic Sequences, Pattern recognition and Grammar Detection. Proceedings Workshop Scientific Support for the Decision Making in the Security Sector, NATO Science for Piece & Security Series, D: Information & Communication Security. vol.12 p.126-138.
Karanikas Konstantinos, Atreas Nikolaos (2008). Discrete type-Riesz Products. Proceedings Workshop on Walsh & Dyadic Analysis. Nis, Serbia. p.137-143.

2007

Journal Article

Atreas Nikolaos, Karanikas Konstantinos (2007). Multiscale Haar orthonormal matrices with the corresponding riesz products and a characterization of Cantor-type languages. Journal of Fourier Analysis and Applications. vol.13 no.2 p.197-210.
Atreas Nikolaos, Karanikas Konstantinos (2007). Multiscale Haar Unitary Matrices with the Corresponding Riesz Products and a Characterization of Cantor-type Languages. Journal of Fourier Analysis & Applications. vol.13 no.2 p.197-210.

Conference Proceedings Article

Atreas Nikolaos, Karanikas Konstantinos (2007). A fast pattern matching algorithm based on prime numbers and hashing approximation. Proceedings Workshop on Scientific Support for the Decision Making in the Security Sector, NATO Science for Piece and Security Series D: Information and Communication Security. Velingrad, Bulgaria. vol.12 p.118-126.

Without Type

Aτρέας N (2007). Υπολογιστικά Μαθηματικά.
Aτρέας N (2007). Ανώτερα Μαθηματικά Ι.

2005

Journal Article

Atreas Nikolaos, Karanikas Konstantinos (2005). Discrete sampling formulas on spaces of p(M)-periodic sequences for computational applications on edge detection. Numerical Functional Analysis and Optimization. vol.26 no.3 p.285-301.

2004

Journal Article

Atreas Nikolaos, Karanikas Konstantinos, Polychronidou P (2004). Signal analysis on strings for immune-type pattern recognition. Comparative and Functional Genomics. vol.5 no.1 p.69-74.

2003

Journal Article

Atreas Nikolaos, Karanikas Konstantinos, Tarakanov A. O (2003). Signal processing by an immune type Tree Transform. Artificial Immune Systems, Proceedings. vol.2787 p.111-119.
Atreas Nikolaos, Benedetto J. J, Karanikas Konstantinos (2003). Local Sampling for Regular Wavelet and Gabor Expansions. Sampling Theory in Signal and Image Processing. vol.2 no.1 p.1-25.

Conference Proceedings Article

Atreas Nikolaos, Karanikas Konstantinos, Tarakanov A. O (2003). Signal Processing by an Immune Type Tree Transform. Proceedings 2nd International Conference on Artificial Immune Systems (ICARIS’2003). Edinburgh, UK. p.111-119.
Atreas Nikolaos (2003). Wavelet Decomposition and Sampling for p-adic Multiresolution Analysis. Proceedings 7th International Conference Constructive Theory of Functions. Sofia, Bulgaria. p.198-204.

2002

Journal Article

Atreas Nikolaos (2002). New bounds for truncation-type errors on regular sampling expansions. Numerical Functional Analysis and Optimization. vol.23 no.7-8 p.695-704.
Atreas Nikolaos, Bagis N, Karanikas Konstantinos (2002). The Information Loss Error and the Jitter Error for Regular Sampling Expansions. Sampling Theory in Signal and Image Processing. vol.1 no.3 p.261-276.

2000

Journal Article

Atreas Nikolaos, Karanikas Konstantinos (2000). Truncation Error on Wavelet Sampling Expansions. Journal of Computational Analysis and Applications. vol.2 no.1 p.89-102.

1999

Journal Article

Atreas Nikolaos, Karanikas Konstantinos (1999). Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis. Journal of Fourier Analysis and Applications. vol.5 no.6 p.575-588.

Updated: 2018-10-30

Quality Assurance Unit (MODIP)
Aristotle University of Thessaloniki

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Curriculum Vitae

Nikolaos Atreas

Προπτυχιακές Σπουδές

Διδακτορικό Δίπλωμα

Courses of Winter semester of 2018–19 academic year

Student Theses within AUTh

2017–2018

2008–2009

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Book Chapter

Journal Article

Conference Proceedings Article

Journal Article

Conference Proceedings Article

Journal Article

Conference Proceedings Article

Without Type

Journal Article

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Journal Article

Journal Article

Quality Assurance Unit (MODIP)Aristotle University of Thessaloniki

You are here

Curriculum Vitae

Nikolaos Atreas

Προπτυχιακές Σπουδές

Διδακτορικό Δίπλωμα

Courses of Winter semester of 2018–19 academic year

Student Theses within AUTh

2017–2018

2008–2009

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Book Chapter

Journal Article

Conference Proceedings Article

Journal Article

Conference Proceedings Article

Journal Article

Conference Proceedings Article

Without Type

Journal Article

Journal Article

Journal Article

Conference Proceedings Article

Journal Article

Journal Article

Journal Article

Quality Assurance Unit (MODIP)
Aristotle University of Thessaloniki