Article

Bellavita, C., Daskalogiannis, V., Miihkinen, S., Norrbo, D., Stylogiannis, G. and Virtanen, J. (2025) Generalized Hilbert matrix operators acting on Bergman spaces. Journal of Functional Analysis, 288 (9). 110856. ISSN 0022-1236 doi: 10.1016/j.jfa.2025.110856

Arroussi, H., Tong, C., Virtanen, J. A. and Yuan, Z. (2025) Volterra-type inner derivations on Hardy spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 119 (2). ISSN 1579-1505 doi: 10.1007/s13398-025-01723-2

Montes-Rodríguez, A. and Virtanen, J. (2025) A Paley-Wiener theorem for the Mehler-Fock transform. Computional Methods and Function Theory, 25 (1). pp. 119-127. ISSN 2195-3724 doi: 10.1007/s40315-024-00537-4

Basor, E., Ehrhardt, T. and Virtanen, J. (2025) Asymptotics of block Toeplitz determinants with piecewise continuous symbols. Communications on Pure and Applied Mathematics, 78 (1). pp. 120-160. ISSN 1097-0312 doi: 10.1002/cpa.22223

Asghari, G., Hu, Z. and Virtanen, J. A. (2024) Schatten class Hankel operators on doubling Fock spaces and the Berger-Coburn phenomenon. Journal of Mathematical Analysis and Applications, 540 (2). 128596. ISSN 0022-247X doi: 10.1016/j.jmaa.2024.128596

O'Loughlin, R. and Virtanen, J. (2023) Crouzeix's conjecture for classes of matrices. Linear Algebra and its Applications. ISSN 0024-3795 doi: 10.1016/j.laa.2023.12.008

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Hagger, R., Perfekt, K.-M. and Virtanen, J. A. (2023) On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains. Numerische Mathematik, 153. pp. 653-699. ISSN 0029-599X doi: 10.1007/s00211-023-01353-z

Arroussi, H., Gissy, H. and Virtanen, J. A. (2023) Generalized Volterra type integral operators on large Bergman spaces. Bulletin des Sciences Mathématiques. ISSN 0007-4497 doi: 10.1016/j.bulsci.2022.103226

Perälä, A. and Virtanen, J. (2023) Essential positivity. Proceedings of the American Mathematical Society, 151 (11). pp. 4807-4815. ISSN 0002-9939 doi: 10.1090/proc/16504

Hu, Z. and Virtanen, J. A. (2023) IDA and Hankel operators on Fock spaces. Analysis & PDE, 16 (9). pp. 2041-2077. ISSN 1948-206X doi: 10.2140/apde.2023.16.2041

Taskinen, J. and Virtanen, J. (2022) Weak BMO and Toeplitz operators on Bergman spaces. New York Journal of Mathematics, 28. pp. 773-790. ISSN 1076-9803

Hagger, R., Liu, C., Taskinen, J. and Virtanen, J. A. (2022) Toeplitz operators on the unit ball with locally integrable symbols. Integral Equations and Operator Theory, 94 (2). 17. ISSN 1420-8989 doi: 10.1007/s00020-022-02695-3

Hu, Z. and Virtanen, J. A. (2022) Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon. Transactions of the American Mathematical Society, 375. pp. 3733-3753. ISSN 1088-6850 doi: 10.1090/tran/8638

Hu, Z. and Virtanen, J. A. (2022) Fredholm Toeplitz operators on doubling Fock spaces. Journal of Geometric Analysis, 32. 106. ISSN 1050-6926 doi: 10.1007/s12220-021-00761-7

Ehrhardt, T., Hagger, R. and Virtanen, J. (2021) Bounded and compact Toeplitz+Hankel matrices. Studia Mathematica, 2021 (260). pp. 103-120. ISSN 0039-3223 doi: 10.4064/sm200806-6-10

Hagger, R. and Virtanen, J. (2021) Compact Hankel operators with bounded symbols. Journal of Operator Theory, 86 (2). pp. 317-329. ISSN 1841-7744 doi: 10.7900/jot.2020apr27.2276

Gissy, H., Miihkinen, S. and Virtanen, J. (2021) On the exponential integrability of conjugate functions. Journal of Fourier Analysis and Applications, 27 (87). ISSN 1531-5851 doi: 10.1007/s00041-021-09885-4

Hu, Z. and Virtanen, J. A. (2020) Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150 (6). pp. 3163-3186. ISSN 0308-2105 doi: 10.1017/prm.2019.65

Taskinen, J. and Virtanen, J. (2020) On Fredholm properties of Toeplitz operators in Bergman spaces. Mathematical Methods in the Applied Sciences, 43 (16). pp. 9405-9415. ISSN 0170-4214 doi: 10.1002/mma.6268

Al-Qabani, A., Hilberdink, T. and Virtanen, J. A. (2020) Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces. Mathematica Scandinavica, 126 (3). pp. 593-602. ISSN 1903-1807 doi: 10.7146/math.scand.a-120920

Brightmore, L., Gehér, G. P., Its, A. R., Korepin, V., Mezzadri, F., Mo, M. Y. and Virtanen, J. (2020) Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion. Journal of Physics A: Mathematical and Theoretical, 53. 345303. ISSN 1751-8113 doi: 10.1088/1751-8121/ab9cf2

Miihkinen, S. and Virtanen, J. (2019) Toeplitz operators with piecewise continuous symbols on the Hardy space H 1. Arkiv för Matematik, 57 (2). pp. 429-435. ISSN 1871-2487 doi: 10.4310/ARKIV.2019.v57.n2.a9

Kozlowska, K. and Virtanen, J. (2019) Transition asymptotics of Toeplitz determinants and emergence of Fisher-Hartwig representations. Nonlinearity, 32 (10). pp. 3593-3645. ISSN 1361-6544 doi: 10.1088/1361-6544/ab127a

Taskinen, J. and Virtanen, J. (2018) On generalized Toeplitz and little Hankel operators on Bergman spaces. Archiv der Mathematik, 110 (2). pp. 155-166. ISSN 1420-8938 doi: 10.1007/s00013-017-1124-2

Al-qabani, A. and Virtanen, J. (2018) Fredholm theory of Toeplitz operators on standard weighted Fock spaces. Annales Academiæ Scientiarum Fennicæ Mathematica, 43. pp. 769-783. ISSN 1798-2383 doi: 10.5186/aasfm.2018.4344

Taskinen, J. and Virtanen, J. (2018) On compactness of Toeplitz operators in Bergman spaces. Functiones et Approximatio Commentarii Mathematici, 59 (2). pp. 305-318. ISSN 0208-6573 doi: 10.7169/facm/1727

Ferro, R. and Virtanen, J. A. (2017) A note on structured pseudospectra of block matrices. Journal of Computational and Applied Mathematics, 322. pp. 18-24. ISSN 0377-0427 doi: 10.1016/j.cam.2017.03.020

Perälä, A., Taskinen, J. and Virtanen, J. (2017) Toeplitz operators on Dirichlet-Besov spaces. Houston Journal of Mathematics, 43 (1). pp. 93-108. ISSN 0362-1588 doi: https://www.math.uh.edu/~hjm/Vol43-1.html

Isralowitz, J., Virtanen, J. and Wolf, L. (2015) Schatten class Toeplitz operators on generalized Fock spaces. Journal of Mathematical Analysis and Applications, 421 (1). pp. 329-337. ISSN 0022-247X doi: 10.1016/j.jmaa.2014.05.065

Perala, A., Schuster, A. and Virtanen, J. A. (2014) Hankel operators on Fock spaces. Operator Theory: Advances and Applications, 236. pp. 377-390. ISSN 0255-0156 doi: 10.1007/978-3-0348-0648-0_24

Perala, A., Virtanen, J. A. and Wolf, L. (2013) A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators. Concrete Operators, 1 (1). pp. 28-36. ISSN 2299-3282 doi: 10.2478/conop-2012-0004

Taskinen, J. and Virtanen, J. A. (2012) Weighted BMO and Toeplitz operators on the Bergman space A1. Journal of Operator Theory, 68 (1). pp. 131-140.

Perälä, A., Taskinen, J. and Virtanen, J. A. (2011) New results and open problems on Toeplitz operators in Bergman spaces. New York Journal of Mathematics, 17a. pp. 147-164. ISSN 1076-9803

Perälä, A., Taskinen, J. and Virtanen, J. (2011) Toeplitz operators with distributional symbols on Bergman spaces. Proceedings of the Edinburgh Mathematical Society, 54 (02). pp. 505-514. ISSN 1464-3839 doi: 10.1017/S001309151000026X

Perälä, A., Taskinen, J. and Virtanen, J. (2011) Toeplitz operators with distributional symbols on Fock spaces. Functiones et Approximatio Commentarii Mathematici, 44 (2). pp. 203-213. ISSN 0208-6573 doi: 10.7169/facm/1308749124

Perälä, A. and Virtanen, J. A. (2011) A note on the Fredholm properties of Toeplitz operators on weighted Bergman spaces with matrix-valued symbols. Operators and Matrices, 5 (1). pp. 97-106. ISSN 1846-3886 doi: 10.7153/oam-05-06

Taskinen, J. and Virtanen, J. (2010) Toeplitz operators on Bergman spaces with locally integrable symbols. Revista Matemática Iberoamericana, 26 (2). pp. 693-706. ISSN 0213-2230 doi: 10.4171/RMI/614

Taskinen, J. and Virtanen, J. A. (2008) Spectral theory of Toeplitz and Hankel operators on the Bergman space A1. New York Journal of Mathematics, 14. pp. 305-323. ISSN 1076-9803

Papadimitrakis, M. and Virtanen, J. A. (2008) Hankel and Toeplitz transforms on H 1: continuity, compactness and Fredholm properties. Integral Equations and Operator Theory, 61 (4). pp. 573-591. ISSN 0378-620X doi: 10.1007/s00020-008-1609-2

Böttcher, A. and Virtanen, J. A. (2007) Norms of Toeplitz Matrices with Fisher-Hartwig Symbols. Siam Journal on Matrix Analysis and Applications. ISSN 0895-4798 doi: 10.1137/06066165X

Book or Report Section

Hu, Z. and Virtanen, J. (2024) On the Berger-Coburn phenomenon. In: Ptak, M., Woerdeman, H. J. and Wojtylak, M. (eds.) Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and its Applications 2022, Kraków, Poland. Operator Theory: Advances and Applications. Springer, pp. 223-234. ISBN 9783031506123 doi: 10.1007/978-3-031-50613-0_9

Taskinen, J. and Virtanen, J. A. (2022) Boundedness of Toeplitz operators in Bergman-type spaces. In: Aron, R. M., Moslehian, M. S., Spitkovsky, I. M. and Woerdeman, H. J. (eds.) Operator and Norm Inequalities and Related Topics. Trends in Mathematics. Birkhäuser, pp. 461-490. ISBN 9783031021039 doi: 10.1007/978-3-031-02104-6_14

Virtanen, J. A. (2022) On the product formula for Toeplitz and related operators. In: Basor, E., Böttcher,, A., Ehrhardt,, T. and Tracy, C. A. (eds.) Toeplitz Operators and Random Matrices. Operator Theory: Advances and Applications, 289 (289). Birkhäuser, Cham., pp. 605-616. ISBN 9783031138508 doi: 10.1007/978-3-031-13851-5_26

Virtanen, J. A. (2018) Double-scaling limits of Toeplitz determinants and Fisher-Hartwig singularities. In: Böttcher, A., Potts, D., Stollmann, P. and Wenzel, D. (eds.) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268). Springer, pp. 495-504. ISBN 9783319759951 doi: 10.1007/978-3-319-75996-8_29