Publications

Preprints

A. Kouroupis and K.-M. Perfekt
A note on Bohr’s theorem for Beurling integer systems

A. Aleman, K.-M. Perfekt, S. Richter, C. Sundberg and J. Sunkes
Cyclicity in the Drury-Arveson space and other weighted Besov spaces

A. Aleman, K.-M. Perfekt, S. Richter, C. Sundberg and J. Sunkes
Cyclicity and iterated logarithms in the Drury-Arveson space

N. Arcozzi, P. Mozolyako, K.-M. Perfekt, G. Sarfatti
Carleson measures for the Dirichlet space on the bidisc

Publications

S. N. Chandler-Wilde, R. Hagger, K.-M. Perfekt and J. A. Virtanen
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
Numerische Mathematik 153 (2023), 635–699.

A. Kouroupis and K.-M. Perfekt
Composition operators on weighted Hilbert spaces of Dirichlet series
Journal of the London Mathematical Society, doi:10.1112/jlms.12771

O.F. Brevig, K.-M. Perfekt and A. Pushnitski
The spectrum of some Hardy kernel matrices
Annales de l’Institut Fourier, to appear.

M. de León-Contreras and K.-M. Perfekt
The quasi-static plasmonic problem for polyhedra
Mathematische Annalen, doi:10.1007/s00208-022-02481-x

O.F. Brevig and K.-M. Perfekt
The Nehari problem for the Paley–Wiener space of a disc
The Journal of Geometric Analysis 33 (2023), Article No. 16.

O.F. Brevig and K.-M. Perfekt
Orthogonal decomposition of composition operators on the H2 space of Dirichlet series
Journal of Functional Analysis, 282 (2022), 109353, 36 pages.

A.-S. Bonnet-Ben Dhia, S. N. Chandler-Wilde, S. Fliss, C. Hazard, K.-M. Perfekt and Y. Tjandrawidjaja,
The Complex-Scaled Half-Space Matching Method
SIAM Journal on Mathematical Analysis, 54 (2022), 512–557.

W. Li, K.-M. Perfekt and S. P. Shipman
Infinitely many embedded eigenvalues for the Neumann-Poincaré operator in 3D
SIAM Journal on Mathematical Analysis, 54 (2022), 343–362.

O.F. Brevig and K.-M. Perfekt
A mean counting function for Dirichlet series and compact composition operators
Advances in Mathematics 385 (2021), 107775, 48 pp.

K.-M. Perfekt
Rectangular summation of multiple Fourier series and multi-parametric capacity
Potential Analysis 55 (2021), 389–402.

K.-M. Perfekt
Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum
Journal de Mathématiques Pures et Appliquées 145 (2021), 130–162.

M. Carlsson and K.-M. Perfekt,
Nehari’s theorem for convex domain Hankel and Toeplitz operators in several variables,
International Mathematics Research Notices IMRN 2021 (2021), 3331–3361.

O. F. Brevig and K.-M. Perfekt
Norms of composition operators on the H2 space of Dirichlet series,
Journal of Functional Analysis 278 (2020), 108320, 33 pp.

L. D’Onofrio, L. Greco, K.-M. Perfekt, C. Sbordone, R. Schiattarella
Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces,
Annales de l’Institut Henri Poincare, Analyse Non Lineaire 37 (2020),  653–661.

O.F. Brevig, K.-M. Perfekt and K. Seip,
Volterra Operators on Hardy Spaces of Dirichlet Series,
Journal für die reine und angewandte Mathematik (Crelles Journal) 754 (2019), 179–223.

K.-M. Perfekt
The transmission problem on a three-dimensional wedge,
Archive for Rational Mechanics and Analysis 231 (2019), 1745–1780.

F. Bayart, O.F. Brevig, A. Haimi, J. Ortega-Cerdà and K.-M. Perfekt,
Contractive inequalities for Bergman spaces and multiplicative Hankel forms,
Transactions of the American Mathematical Society 371 (2019), 681–707.

K.-M. Perfekt
On the spaces of bounded and compact multiplicative Hankel operators,
New York Journal of Mathematics 25 (2019), 589–602.

J. Helsing and K.-M. Perfekt,
The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points,
Journal de Mathématiques Pures et Appliquées 118 (2018), 235–287.

P. Jaming, Y. Lyubarskii, E. Malinnikova and K.-M. Perfekt,
Uniqueness for Discrete Schrödinger Evolutions,
Revista Matemática Iberoamericana 34 (2018), 949–966.

K.-M. Perfekt and A. Pushnitski ,
On Helson matrices: moment problems, non-negativity, boundedness, and finite rank,
Proceedings of the London Mathematical Society 116 (2018), 101–134.

K.-M. Perfekt and A. Pushnitski,
On the spectrum of the multiplicative Hilbert matrix,
Arkiv för Matematik 56 (2018), 163-183.

K.-M. Perfekt and M. Putinar,
The Essential Spectrum of the Neumann–Poincaré Operator on a Domain with Corners,
Archive for Rational Mechanics and Analysis 223 (2017), 1019–1033.

K.-M. Perfekt, S. Pott and P. Villarroya ,
Endpoint Compactness of Singular Integrals and Perturbations of the Cauchy Integral,
Kyoto Journal of Mathematics 57 (2017), 365–393.

O.F Brevig and K.-M. Perfekt,
Weak Product Spaces of Dirichlet series — see also the corrigendum 
Integral Equations and Operator Theory 86 (2016), 453–473.

O.F Brevig, K.-M. Perfekt, K. Seip, A.G. Siskakis and D. Vukotić,
The Multiplicative Hilbert Matrix,
Advances in Mathematics 302 (2016), 410–432.

K.-M. Perfekt,
On M-ideals and o–O Type Spaces,
Mathematica Scandinavica 121 (2017), 151–160.

A. Aleman, Y. Lyubarskii, E. Malinnikova and K.-M. Perfekt,
Trace Ideal Criteria for Embeddings and Composition Operators on Model Spaces,
Journal of Functional Analysis 270 (2016), 861–883.

F. Andersson, M. Carlsson and K.-M. Perfekt,
Operator-Lipschitz Estimates for the Singular Value Functional Calculus,
Proceedings of the American Mathematical Society 144 (2016), 1867–1875.

O.F Brevig and K.M. Perfekt,
Failure of Nehari’s Theorem for Multiplicative Hankel Forms in Schatten Classes,
Studia Mathematica 228 (2015), 101–108.

K.M. Perfekt,
Weak Compactness of Operators Acting on o–O Type Spaces,
Bulletin of the London Mathematical Society 47 (2015), 677–685.

A. Aleman, K.M. Perfekt, S. Richter and C. Sundberg,
Linear Graph Transformations on Spaces of Analytic Functions,
Journal of Functional Analysis 268 (2015), 2707–2734.

F. Andersson, M. Carlsson and K.-M. Perfekt,
AAK-type Theorems for Hankel Operators on Weighted Spaces,
Bulletin des Sciences Mathématiques 139 (2015), 184–197.

K.-M. Perfekt and M. Putinar,
Spectral Bounds for the Neumann-Poincaré Operator on Planar Domains with Corners,
Journal d’Analyse Mathématique 124 (2014), 39–57.

J. Helsing and K.-M. Perfekt,
On the Polarizability and Capacitance of the Cube,
Applied and Computational Harmonic Analysis 34 (2013), 445–468.

K.-M. Perfekt,
Duality and Distance Formulas in Spaces Defined by Means of Oscillation,
Arkiv för Matematik 51 (2013), 345–361.

A. Aleman and K.-M. Perfekt,
Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces,
International Mathematics Research Notices 2012 (19), 4435–4448.

Proceedings

N. Arcozzi, P. Mozolyako, and K.-M. Perfekt
Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees,
For Complex Analysis and Related Topics 2018,
Analysis and Mathematical Physics, 9 (2019), 937–954.

N. Arcozzi, P. Mozolyako, K.-M. Perfekt, S. Richter and G. Sarfatti,
Some Hilbert spaces related with the Dirichlet space,
For the 12th Advanced Course in Operator Theory and Complex Analysis,
Concrete operators 3 (2016), 94–101.