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Keywords: wavelets, splines, subdivision schemes, ridge-functions.
Publications:
2024
→ T. I. Zaitseva, "Self-affine splines", Uspekhi Mat. Nauk, 79:5(479) (2024), 183–184, DOI.
2023
→ V. Protasov, T. Zaitseva, "Complete Characterization of Polyhedral Self-Affine Tiles", Discrete Comp. Geom., 70:3 (2023), 931–950, DOI, arXiv.
→ T. Zaitseva, "Multivariate tile B-splines", Izv. RAN. Ser. Mat., 87:2 (2023), 89–132, DOI, arXiv.
2022
→ D. Logofet, V. Protasov, T. Zaitseva, "Pattern-Multiplicative Average of Nonnegative Matrices: When a Constrained Minimization Problem Requires Versatile Optimization Tools", Mathematics, 2022, 10(23), 4417, DOI.
→ T. I. Zaitseva, V. Yu. Protasov, "Self-affine 2-attractors and tiles", Mat. Sb., 213:6 (2022), 71–110, DOI, arXiv.
→ Yu. V. Malykhin, K. S. Ryutin, T. I. Zaitseva, "Recovery of regular ridge functions on the ball", Constr Approx (2022), DOI, arXiv.
2021
→ V. Yu. Protasov, T. I. Zaitseva, "Self-affine tilings of polyhedra", Doklady Mathematics, 500:5 (2021), 55–61, DOI.
→ T. I. Zaitseva, Yu. V. Malykhin, K. S. Ryutin, "On Recovery of Regular Ridge Functions", Mat. Zametki, 109:2 (2021), 307–311, DOI.
2020
→ T. I. Zaitseva, "Simple tiles and attractors", Mat. Sb., 211:9 (2020), 24–59; English Translation in Sb. Math., 211:9 (2020), 1233–1266, DOI, arXiv.
2017
→ T. Zaitseva, "Haar wavelets and subdivision algorithms on the plane", Advances in Systems Science and Applications, 17:3 (2017), 49–57, DOI, PDF.