Dorin E. Dutkay, Ph.D. - Publications

Affiliations: 
2004 University of Iowa, Iowa City, IA 
Area:
Mathematics

52 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Dutkay DE, Picioroaga G, Silvestrov S. On Generalized Walsh Bases Acta Applicandae Mathematicae. 163: 73-90. DOI: 10.1007/S10440-018-0214-X  0.376
2018 Dutkay DE, Haussermann J, Lai C. Hadamard triples generate self-affine spectral measures Transactions of the American Mathematical Society. 371: 1439-1481. DOI: 10.1090/Tran/7325  0.356
2018 Dutkay DE, Kraus I. On spectral sets of integers Contemporary Mathematics. 215-234. DOI: 10.1090/Conm/706/14214  0.398
2017 Dutkay DE, Lai C. Spectral measures generated by arbitrary and random convolutions Journal De MathéMatiques Pures Et AppliquéEs. 107: 183-204. DOI: 10.1016/J.Matpur.2016.06.003  0.489
2017 Dutkay DE, Ranasinghe R. Weighted Fourier Frames on Self-Affine Measures Journal of Mathematical Analysis and Applications. 462: 1032-1047. DOI: 10.1016/J.Jmaa.2017.12.055  0.339
2016 Dutkay DE, Haussermann J. Number theory problems from the harmonic analysis of a fractal Journal of Number Theory. 159: 7-26. DOI: 10.1016/J.Jnt.2015.07.009  0.334
2016 Dutkay DE, Ranasinghe R. Weighted Fourier frames on fractal measures Journal of Mathematical Analysis and Applications. 444: 1603-1625. DOI: 10.1016/J.Jmaa.2016.07.042  0.366
2015 Dutkay DE, Jorgensen PET. Spectra of measures and wandering vectors Proceedings of the American Mathematical Society. 143: 2403-2410. DOI: 10.1090/S0002-9939-2015-12656-1  0.657
2015 Dutkay DE, Haussermann J, Jorgensen PET. Atomic representations of Cuntz algebras Journal of Mathematical Analysis and Applications. 421: 215-243. DOI: 10.1016/J.Jmaa.2014.07.005  0.668
2015 Dutkay DE, Jorgensen PET. Unitary groups and spectral sets Journal of Functional Analysis. 268: 2102-2141. DOI: 10.1016/J.Jfa.2015.01.018  0.667
2015 Dutkay DE, Haussermann J. Tiling properties of spectra of measures Mathematische Zeitschrift. 280: 525-549. DOI: 10.1007/S00209-015-1435-6  0.485
2014 Dutkay DE, Han D, Weber E. Continuous and discrete fourier frames for fractal measures Transactions of the American Mathematical Society. 366: 1213-1235. DOI: 10.1090/S0002-9947-2013-05843-6  0.451
2014 Dutkay DE, Jorgensen PET. Representations of Cuntz algebras associated to quasi-stationary Markov measures Ergodic Theory and Dynamical Systems. 35: 2080-2093. DOI: 10.1017/etds.2014.37  0.421
2014 Dutkay DE, Picioroaga G, Song MS. Orthonormal bases generated by Cuntz algebras Journal of Mathematical Analysis and Applications. 409: 1128-1139. DOI: 10.1016/J.Jmaa.2013.07.012  0.463
2014 Dutkay DE, Jorgensen PET. Monic representations of the Cuntz algebra and Markov measures Journal of Functional Analysis. 267: 1011-1034. DOI: 10.1016/J.Jfa.2014.05.016  0.68
2014 Dutkay DE, Lai CK. Uniformity of measures with Fourier frames Advances in Mathematics. 252: 684-707. DOI: 10.1016/J.Aim.2013.11.012  0.457
2014 Dutkay DE, Picioroaga G. Generalized walsh bases and applications Acta Applicandae Mathematicae. 133: 1-18. DOI: 10.1007/S10440-013-9856-X  0.315
2013 Dutkay DE, Jorgensen PET. Isospectral measures Rocky Mountain Journal of Mathematics. 43: 1497-1512. DOI: 10.1216/RMJ-2013-43-5-1497  0.381
2013 Dutkay DE, Jorgensen PET. On the Universal Tiling Conjecture in Dimension One Journal of Fourier Analysis and Applications. 19: 467-477. DOI: 10.1007/S00041-013-9264-7  0.345
2012 Dutkay DE, Jorgensen PET. Spectral measures and Cuntz algebras Mathematics of Computation. 81: 2275-2301. DOI: 10.1090/S0025-5718-2012-02589-0  0.459
2012 Dutkay DE, Jorgensen PET. Fourier duality for fractal measures with affine scales Mathematics of Computation. 81: 2253-2273. DOI: 10.1090/S0025-5718-2012-02580-4  0.399
2012 Dutkay DE, Han D, Weber E. Iterative approximations of exponential bases on fractal measures Numerical Functional Analysis and Optimization. 33: 928-950. DOI: 10.1080/01630563.2012.682129  0.475
2012 Dutkay DE, Jorgensen PET, Silvestrov S. Decomposition of wavelet representations and Martin boundaries Journal of Functional Analysis. 262: 1043-1061. DOI: 10.1016/J.Jfa.2011.10.010  0.458
2011 Dutkay DE, Larson DR, Silvestrov S. Irreducible wavelet representations and ergodic automorphisms on solenoids Operators and Matrices. 5: 201-219. DOI: 10.7153/Oam-05-14  0.468
2011 Dutkay DE, Jorgensen PET. Affine fractals as boundaries and their harmonic analysis Proceedings of the American Mathematical Society. 139: 3291-3305. DOI: 10.1090/S0002-9939-2011-10752-4  0.394
2011 Dutkay DE, Han D, Weber E. Bessel sequences of exponentials on fractal measures Journal of Functional Analysis. 261: 2529-2539. DOI: 10.1016/J.Jfa.2011.06.018  0.394
2011 Dutkay DE, Han D, Sun Q, Weber E. On the Beurling dimension of exponential frames Advances in Mathematics. 226: 285-297. DOI: 10.1016/J.Aim.2010.06.017  0.452
2010 Dutkay DE, Jorgensen PET. Spectral Theory for Discrete Laplacians Complex Analysis and Operator Theory. 4: 1-38. DOI: 10.1007/s11785-008-0098-2  0.301
2009 Dutkay DE, Jorgensen PET, Picioroaga G. Unitary representations of wavelet groups and encoding of iterated function systems in solenoids Ergodic Theory and Dynamical Systems. 29: 1815-1852. DOI: 10.1017/S0143385708000904  0.417
2009 Dutkay DE, Han D, Jorgensen PET. Orthogonal exponentials, translations, and Bohr completions Journal of Functional Analysis. 257: 2999-3019. DOI: 10.1016/J.Jfa.2009.05.014  0.393
2009 Dutkay DE, Han D, Larson D. A duality principle for groups Journal of Functional Analysis. 257: 1133-1143. DOI: 10.1016/J.Jfa.2009.03.007  0.387
2009 Dutkay DE, Han D, Picioroaga G. Parseval frames for ICC groups Journal of Functional Analysis. 256: 3071-3090. DOI: 10.1016/J.Jfa.2008.11.017  0.491
2009 Dutkay DE, Han D, Sun Q. On the spectra of a Cantor measure Advances in Mathematics. 221: 251-276. DOI: 10.1016/J.Aim.2008.12.007  0.454
2009 Dutkay DE, Jorgensen PET. Duality questions for operators, spectrum and measures Acta Applicandae Mathematicae. 108: 515-528. DOI: 10.1007/s10440-008-9427-8  0.331
2009 Dutkay DE, Jorgensen PET. Probability and fourier duality for affine iterated function systems Acta Applicandae Mathematicae. 107: 293-311. DOI: 10.1007/S10440-008-9384-2  0.502
2009 Dutkay DE, Jorgensen PET. Quasiperiodic spectra and orthogonality for iterated function system measures Mathematische Zeitschrift. 261: 373-397. DOI: 10.1007/S00209-008-0329-2  0.463
2008 Dutkay DE, Han D, Picioroaga G, Sun Q. Orthonormal dilations of Parseval wavelets Mathematische Annalen. 341: 483-515. DOI: 10.1007/S00208-007-0196-X  0.456
2008 Dutkay DE, Røysland K. Covariant representations for matrix-valued transfer operators Integral Equations and Operator Theory. 62: 383-410. DOI: 10.1007/S00020-008-1623-4  0.371
2007 Dutkay DE, Jorgensen PET. Disintegration of projective measures Proceedings of the American Mathematical Society. 135: 169-179. DOI: 10.1090/S0002-9939-06-08469-3  0.38
2007 Dutkay DE, Røysland K. The algebra of harmonic functions for a matrix-valued transfer operator Journal of Functional Analysis. 252: 734-762. DOI: 10.1016/J.Jfa.2007.04.014  0.379
2007 Dutkay DE, Jorgensen PET. Fourier frequencies in affine iterated function systems Journal of Functional Analysis. 247: 110-137. DOI: 10.1016/J.Jfa.2007.03.002  0.434
2007 Dutkay DE, Jorgensen PET. Analysis of orthogonality and of orbits in affine iterated function systems Mathematische Zeitschrift. 256: 801-823. DOI: 10.1007/S00209-007-0104-9  0.431
2007 Dutkay DE, Jorgensen PET. Harmonic analysis and dynamics for affine iterated function systems Houston Journal of Mathematics. 33: 877-905.  0.318
2006 Dutkay DE, Jorgensen PET. Wavelets on fractals Revista Matematica Iberoamericana. 22: 131-180. DOI: 10.4171/Rmi/452  0.373
2006 Dutkay DE, Jorgensen PET. Iterated function systems, ruelle operators, and invariant projective measures Mathematics of Computation. 75: 1931-1970. DOI: 10.1090/S0025-5718-06-01861-8  0.337
2006 Dutkay DE. Low-pass filters and representations of the Baumslag Solitar group Transactions of the American Mathematical Society. 358: 5271-5291. DOI: 10.1090/S0002-9947-06-04230-9  0.406
2006 Dutkay DE, Jorgensen PET. Hilbert spaces built on a similarity and on dynamical renormalization Journal of Mathematical Physics. 47. DOI: 10.1063/1.2196750  0.404
2005 Dutkay DE, Jorgensen PET. Wavelet constructions in non-linear dynamics Electronic Research Announcements of the American Mathematical Society. 11: 21-33. DOI: 10.1090/S1079-6762-05-00143-5  0.415
2005 Dutkay DE. Some equations relating multiwavelets and multiscaling functions Journal of Functional Analysis. 226: 1-20. DOI: 10.1016/J.Jfa.2005.01.015  0.382
2004 Dutkay DE. Positive definite maps, representations and frames Reviews in Mathematical Physics. 16: 451-477. DOI: 10.1142/S0129055X04002047  0.451
2004 Dutkay DE. The spectrum of the wavelet Galerkin operator Integral Equations and Operator Theory. 50: 477-487. DOI: 10.1007/S00020-003-1348-3  0.31
2002 Dutkay DE. Harmonic analysis of signed Ruelle transfer operators Journal of Mathematical Analysis and Applications. 273: 590-617. DOI: 10.1016/S0022-247X(02)00284-6  0.327
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