Papers of John E. McCarthy
Pure
Mathematics Papers
Applied Mathematics Papers
Expository
Papers and Talks
Book
Reviews
Unsolved
Problems
Pure Mathematics Papers
- An Hp scale for complete Pick spaces (with
Alexandru Aleman, Michael Hartz and Stefan Richter) Studia Mathematica to appear PDF
- Symbol functions for symmetric frameworks (with Eleftherios Katsis and Derek Kitson) Journal Mathematical Analysis and Applications 497(2) [2021] PDF Journal Page
- The Krzyz Conjecture and an Entropy Conjecture
(with Jim Agler) Journal d'Analyse Mathématique, to appear PDF
- Weak products of complete Pick spaces (with
Alexandru Aleman, Michael Hartz and Stefan Richter) Indiana University Mathematics Journal,
to appear PDF
- Extensions of bounded holomorphic functions on
the tridisk (with Lukasz Kosinski) Revista
Matematica Iberoamericana, 36(3) [2020] 791-816 PDF
- Calcular Algebras (with Jim Agler and Nicholas
Young) Proceedings Royal Irish
Academy, 119A (2) [2019] 65-75 PDF
- Radially weighted Besov spaces and the Pick
property (with Alexandru Aleman, Michael Hartz and Stefan Richter) Analysis of Operators on Function Spaces,
29-61, Trends Math [2019] Birkhauser/Springer PDF
- Norm preserving extensions of bounded
holomorphic functions (with Łukasz Kosiński) Transactions American Mathematical Society,
371(10) [2019] 7243-7257 PDF
- Interpolating sequences in
spaces with the complete Pick property (with Alexandru Aleman, Michael
Hartz and Stefan Richter) International
Mathematical Research Notices,
[2019] (12) 3832-3854 PDF
- Noncommutative Functional
Calculus (with Jim Agler) Journal d'Analyse Mathématique
137(1) [2019] 211-229 PDF
- Non-commutative
manifolds, the free square root and symmetric functions in two
non-commuting variables (with Jim Agler and Nicholas Young) Transactions London Mathematical Society,
5 (1) [2018] 132-183 PDF
- A multiplier algebra functional
calculus (with Kelly Bickel and Michael Hartz) Transactions
of the American Mathematical Society, 370(12) [2018] 8467-8482. PDF
- Factorizations induced by complete
Nevanlinna-Pick factors (with Alexandru Aleman, Michael Hartz and
Stefan Richter) Advances in
Mathematics, 335 [2018] 372-404 PDF
- Global holomorphic functions in
several non-commuting variables II (with Jim Agler) Canadian Mathematical Bulletin,
61(3) [2018] 458–463 PDF
- Wandering Montel theorems for Hilbert space
valued holomorphic functions (with Jim Agler) Proceedings of
the American Mathematical
Society, 146(10) [2018] 4353-4367 PDF
- A non-commutative Julia inequality
(with James Pascoe) Mathematische
Annalen, 307(1) [2018] 423-446 PDF
- The Julia-Caratheodory theorem on the
bidisk revisited (with James Pascoe) Acta
Sci. Math. Szeged, 82(1-2) [2017] 165-175. PDF
- The Smirnov class for spaces with the
complete Pick property (with Alexandru Aleman, Michael Hartz, and
Stefan Richter) Journal London
Mathematical Society, 96(1)
[2017] 228-242.
PDF
- Spaces of
Dirichlet series with the complete Pick property (with Orr Shalit) Israel
Journal of Mathematics, 220(2) [2017] 509-530. PDF
- NC-automorphisms of nc-bounded
domains (with Richard Timoney) Proceedings A of the Royal Society
of Edinburgh 146(5) [2016] 1037-1045 PDF
- The implicit function theorem and free
algebraic sets (with Jim Agler) Transactions of the American
Mathematical Society 368:5 [2016] 3157-3175 PDF
- Unions of Lebesgue spaces and A_1
majorants (with Greg Knese and Kabe Moen) Pacific Journal of
Mathematics 280:2 [2016] 411-432 PDF
- Non-commutative holomorphic functions
on operator domains (with Jim Agler) European Journal of
Mathematics 1:4 [2015] 731-745 PDF
- Pick Interpolation for free
holomorphic functions (with Jim Agler) American Journal of
Mathematics 137:6 [2015] 1685-1701 PDF
- Global holomorphic functions in
several non-commuting variables (with Jim Agler) Canadian
Journal of Mathematics 67:2 [2015] 241-285 PDF Published Version
- Operator Theory and the Oka Extension
theorem (with Jim Agler) Hiroshima
Mathematics Journal 45:1 [2015] 9-34. PDF
- Thin sequences and the Gram
matrix (with Pam Gorkin, Sandra Pott and Brett Wick) Archiv
der Mathematik 103:1 [2014] 93-99 PDF
- Hankel vector moment sequences and the
non-tangential regularity at infinity of two variable Pick
functions (with Jim Agler) Transactions American Mathematical
Society 366:3 [2014] 1379-1411 PDF
- On the representation of Holomorphic
Functions on Polyhedra (with Jim Agler and Nicholas Young) Michigan
Mathematics Journal 62:4 [2013] 675-689 PDF
- On the Isomorphism Question for
Complete Pick Multiplier Algebras (with Matt Kerr and Orr Moshe Shalit)
Integral Equations and Operator Theory 76:1 [2013] 39-53 PDF
- The Takagi problem on the disk and
bidisk (with Jim Agler and Joe Ball) Acta
Sci. Math. Szeged 79:1-2 [2013] 63-78 PDF
- Unitary N-dilations for tuples of
commuting matrices (with Orr Moshe Shalitt)
Proceedings American Mathematical Society 141(2)
[2012] 563-571 PDF
- Operator monotone functions and Lowner
functions of several variables (with Jim Agler and Nicholas Young) Annals
of Mathematics 176:3 [2012] 1783-1826 PDF
- A Caratheodory
theorem for the bidisk via Hilbert space methods (with Jim Agler and
Nicholas Young) Mathematische Annalen 352:3 [2012] 581-624 PDF
- Algebraic pairs of isometries (with
Jim Agler and Greg Knese)
Journal of Operator Theory 67:1 [2012] 215-236 DVI PDF
- Facial behavior of analytic functions
on the bidisk (with Jim Agler and Nicholas Young) Bulletin of the
London Mathematical Society 43 [2011] 478-494 PDF
- Polynomial inequalities for
non-commuting operators (with Richard M. Timoney)
Electronic Journal of Linear Algebra 20 [2010] 506-518 DVI PDF
- Geometry near the torus of zero-sets
of holomorphic functions (with Jim Agler
and Mark Stankus) New York Journal of
Mathematics 14 [2008] 517-538 PDF
- Cusp Algebras (with Jim Agler) Publicacions
Matematiques 53 [2008] 111-118 DVI PDF
- Hyperbolic Algebraic and Analytic
Curves (with Jim Agler) Indiana
University Mathematics Journal Vol. 56, No. 6 [2007] 2899-2933 DVI PDF
- Toral
Algebraic Sets and Function Theory on Polydisks
(with Jim Agler and Mark Stankus) Journal of Geometric Analysis Vol.
16, No. 4 [2006] 551-562 DVI
PDF
- Parametrizing Distinguished varieties
(with Jim Agler) Proceedings of the
Conference on Recent Advances in Operator-Related Function Theory [2006],
ed. A. Matheson, M. Stessin and R. Timoney, 29-34. DVI PDF
- Distinguished varieties (with Jim Agler) Acta
Mathematica Vol. 194 [2005] 133-153 DVI PDF Erratum DVI
PDF
- Geometric Characterizations of
Centroids of Simplices (with Steven G. Krantz and Harold Parks) Journal of
Mathematical Analysis and Aplications Vol.
316 No. 1 [2006] 87-109 DVI
PDF
- Positivity aspects of the Fantappie transform (with M. Putinar) Journal d'Analyse
Vol.~97 [2005] 57-82 DVI
PS PDF
- Hilbert spaces of Dirichlet
Series and their Multipliers Transactions of the American
Mathematical Society Vol. 356 [2004] 881-893 DVI PS PDF
- Norm Preserving Extensions of
Holomorphic Functions from Subvarieties of
the Bidisk (with J. Agler)
Annals of Mathematics Vol. 157, No. 1 [2003] 289-312 DVI PS PDF
- Interpolating Sequences on the Bidisk (with J. Agler)
International Journal of Mathematics Vol. 12, No. 9
[2001] 1103-1114 DVI PS PDF
- The three point Pick problem on the Bidisk (with J. Agler)
New York Journal of Mathematics Vol.
6 [2000] 227-236 DVI
PS PDF
- Best approximation in the mean by
analytic and harmonic functions (with D. Khavinson
and H.S. Shapiro) Indiana University Mathematics Journal Vol.
49 [2000] 1481-1513 DVI
PS PDF
- Complete Nevanlinna-Pick
Kernels (with Jim Agler) Journal of
Functional Analysis, Vol. 175 [2000] 111-124 DVI PS PDF
- A note on H2 optimal
control problems with passivity constraints (with Clas
Jacobson), IEEE Transactions on Automatic Control Vol. 45,
No. 2, [2000] 286-290 DVI
PS PDF
- Nevanlinna-Pick
Interpolation on the Bidisk (\item{\em
Factorizations induced by complete Nevanlinna-Pick factors}with Jim Agler) Journal f\"ur
die reine und angewandte
Mathematik Vol. 506 [1999]
191-204 DVI PS PDF
- Nevanlinna-Pick
Kernels and Localization (with Jim Agler) Operator
Theoretical Methods Proceedings 17th International Conference on
Operator Theory, Timisoara, 1998, ed. A. Gheondea,
R.N. Gologan and D. Timotin,
1-20 DVI PS PDF
- Solving Poisson's Equation with
Interior Conditions (with E.Yu. Backhaus
and J. Fajans) Journal of
Mathematical Physics, Vol. 39 [1998] 6720-6729 PDF
- Operators that dominate normal
operators (with Jim Agler), Journal
of Operator Theory Vol. 40 [1998] 385-407 DVI PS PDF
- Subnormal operators and Quadrature
domains (with Liming Yang), Advances in Mathematics Vol.
127, No. 1, [1997] 52-72 DVI
PS PDF
- Reflexivity of Isometries (with Wing
Suet Li), Studia Mathematica Vol.
124, No. 2, [1997] 101-105 DVI
PS PDF
- Boundary values and Cowen-Douglas
curvature Journal of Functional Analysis Vol. 137, No. 1,
[1996] 1-18 DVI PS PDF
- The range of Toeplitz operators on the
ball (with Boris Korenblum) Revista Matem\'atica Iberoamericana
Vol. 12, No. 1 [1996] 47-61 DVI PS PDF
- Growth of the Bergman kernel on planar
regions (with Liming Yang) Illinois Journal of Mathematics Vol.
40, No. 1 [1996] 141-150 DVI
PS PDF
- Cyclic subnormal operators with finite
rank self-commutators (with Liming Yang) Proceedings of the Royal
Irish Academy Vol. 95A, No. 2 [1995] 17 3-177 DVI PS PDF
- Bounded point evaluations on the
boundary of L regions (with Liming Yang) Indiana University
Mathematics Journal Vol. 43, No. 3 [1994] 857-883 DVI PS PDF
- Coefficient estimates in weighted
Bergman spaces Duke Mathematical Journal Vol. 76, No. 3,
[1994] 751-760 PDF
- Non-attainable boundary values for $H^\infty$ functions (with Boris Korenblum) Extracta
Mathematicae Vol. 8, No. 2 [1993]
138-141 DVI PS PDF
- Composition preserves rigidity (with
Ben Lotto) Bulletin of the London Mathematical Society Vol.
25 No. 117 [1993] 573-576 DVI
PS PDF
- Reflexivity of subnormal operators Pacific
Journal of Mathematics Vol. 161 No. 2 [1993] 359-370 DVI PS PDF
- Geometric interpolation between
Hilbert spaces Arkiv f\"or Matematik Vol. 30 No. 2 [1992] 321-330 DVI PS PDF
- Interpolation between weighted Hardy
spaces (with Michael Cwikel and Thomas
Wolff) Proceedings of the American Mathematical Society Vol.
116 No. 2 [1992] 381-388 DVI
PS
PDF
- Topologies on the Smirnov class Journal
of Functional Analysis Vol. 104 No. 1 [1992] 229-241 DVI PS PDF
- Weighted Bergman spaces Function
Spaces (K. Jarosz, ed.), Marcel
Dekker, 1992, 301-306 DVI
PS
PDF
- Continuity
of semi-norms (with Henry Helson) Functional
Analysis and Operator Theory (B.S. Yadav and D. Singh, eds.),
Springer LNM 1511, 1992, 88-90
- Multipliers of de Branges
spaces (with B. Mark Davis) Michigan Mathematical Journal Vol.
38 No. 2 [1991] 225-240 DVI PS PDF
- Common range of co-analytic Toeplitz
operators Journal of the American Mathematical Society Vol.
3 No. 4 [1990] DVI
PS PDF
- Quasisimilarity
of rationally cyclic subnormal operators Journal of Operator
Theory 24 [1990] 105-116 DVI PS PDF
- Analytic structures for subnormal
operators Integral Equations and Operator Theory Vol. 13 No.
2 [1990] 251-270 DVI
PS PDF
Applied Mathematics Papers
- Modeling the relative risk of
SARS-CoV-2 infection to inform Risk-Cost-Benefit Analyses of activities
during the SARS-CoV-2 pandemic, J.E. McCarthy, B.D. Dewitt, B.A. Dumas,
M.T. McCarthy PLOS ONE, [2021] PDF Link to article at PLOS One
-
Modeling
autosomal dominant Alzheimer’s disease with machine learning, P.H.Luckett et al. Alzheimer's & Dementia: The Journal of the Alzheimer's Association, https://alz-journals.onlinelibrary.wiley.com/doi/10.1002/alz.12259
- Resolution of murine toxic hepatic injury
quantified with ultrasound entropy metrics, J.N. Marsh, K.M. Korneblat,
T-C Liu, J.E. McCarthy, S.A. Wickline Ultrasound
in Medicien and Biology, 45(10): 2777-2786 [2019] PDF
https://doi.org/10.1016/j.ultrasmedbio.2019.06.412
- On the stability of BOLD fMRI
correlations, Laumann TO, Snyder AZ, Mitra AM, Gordon EM, Gratton C,
Adeyemo B, Gilmore AW, Nelson SM, Berg JJ, Greene DJ, McCarthy JE,
Tagliazucchi E, Laufs H, Schlaggar BL, Dosenbach NUF, Petersen SE, Cerebral Cortex, 27(10) [2017]
4719-4732 https://doi.org/10.1093/cercor/bhw265
- High contrast ultrasonic imaging of
resin-rich regions in graphite/epoxy composites using entropy, M.S.
Hughes, J.E. McCarthy, P. Bruillard, J.N. Marsh, and S.A.
Wickline, American Institute of
Physics Conference Proceedings 1706, 120002
[2016] PDF
- Tau and A beta imaging, CSF measures,
and cognition in Alzheimer's Disease, M.R.
Brier, B. Gordon, K. Friedrichsen, J.E.
McCarthy, A. Stern, J. Christensen, C. Owen, P. Aldea,
Y. Su, J. Hassenstab, N. Cairns, D.M. Holtzman, A. Fagan, J.C. Morris,
B. Ances, T. Benzinger,
Science
Translational Medicine, 338RA66 Link to Journal
Article PDFWall Street Journal on this paper
- Acoustic Firearm Discharge Detection
and Classification in an Enclosed Environment, L. Luzi, E.
Gonzales, P. Bruillard, M. Prowant, J. Skorpik, M. Hughes, S. Child, D.
Kist, J.E. McCarthy, Journal of
the Acoustical Society of America, 139 (5) [2016] 2723-2731 PDF
- Local and distributed PiB accumulation associated with development of
preclinical Alzheimer's disease, M.R.
Brier, J.E. McCarthy, T.L. Benzinger,
A. Stern, Y. Su, K.A. Friedrichsen, J.C. Morris, B.M. Ances, A.G. Vlassenko, Neurobiol
Aging 38
[2016] 104-11
DOCX
- Partial covariance based functional
connectivity computation using Ledoit-Wolf covariance, M.R. Brier, A.
Mitra, J.E. McCarthy, B.M. Ances and A.Z. Snyder, NeuroImage,
121 [2015] 29-38 Link
to Journal Article DOCX
- Entropy vs. Energy Waveform
Processing: A comparison based on the heat equation, M.S. Hughes, J.E.
McCarthy, P. Bruillard, J.N. Marsh, and S.A. Wickline, Entropy,
17(6) [2015] 3518-3551 Link to Journal Article
- Additional results for ``Joint entropy
of continuously differentiable ultrasonic wavefomrs", M.S. Hughes, J.E.
McCarthy, J.N. Marsh, and S.A. Wickline, Journal of the Acoustical
Society of America, 137, 501 [2015] PDF
- Mathematical modelling of heat
exchange in flash tank heat exchanger cascades, A. Korobeinikov, J.E. McCarthy, E.
Mooney, K. Semkov, J. Varghese, Mathematics-in-Industry
Case Studies Journal, (5) [2013] 43-58 HTML
- Joint-Entropy of Continuously
Differentiable Ultrasonic Waveforms, M.S. Hughes, J.E. McCarthy, J.N.
Marsh, and S.A. Wickline, Journal of the Acoustical Society
of America, 133 (1) [2013] 283-300 PDF
- Model based methodology development
for energy recovery in flash heat exchange systems, A. Korobeinikov, J.E. McCarthy, A. Melnik, E. Mooney, J. Rojas, K. Semkov, J. Varkese,
T. Zhelev, B. Thorne, Proceedings of
the Seventy-Fifth European Study Group with Industry, University of
Limerick, 2010, PDF
- Use of smoothing splines for analysis
of backscattered ultrasonic waveforms: Application to monitoring of
steroid treatment of dystrophic mice, M.S. Hughes, J.N. Marsh, K.F. Agyem, J.E. McCarthy, B.N. Maurizi,
M.V. Wickerhauser, K.D. Wallace, G.M.
Lanza, and S.A. Wickline, I.E.E.E. Transactions on Ultrasonics, Ferroelectrics and Frequency Control,
58 (11) [2011] 2361-2369 PDF
- Improved signal processing to detect
cancer by ultrasonic molecular imaging of targeted nanoparticles
Michael Hughes, Jon Marsh, Gregory Lanza, Samuel Wickline, John
McCarthy, Victor Wickerhauser, Brian Maurizi, Kirk Wallace Journal of the
Acoustical Society of America, Vol. 129(6) [2011] 3756-3767 http://www.ncbi.nlm.nih.gov/pmc/articlerender.fcgi?artid=PMC3143678
- Application of a real-time calculation
of a limiting form of the Renyi entropy
for molecular imaging of tumors J.N. Marsh, K.D. Wallace, J.E.
McCarthy, M.V. Wickerhauser, B.N. Maurizi, G. M. Lanza, S. A. Wickline and
M.S. Hughes Transactions on Ultrasonics, Ferroelectrics, and
Frequency Control, Vol. 57
No. 8 [2010] 1890-1896. PDF
- Evaluation of Root-n bandwidth
selectors for kernel density estimation T.D. Steury,
J.E. McCarthy, T.C. Roth, S.L. Lima and D.L. Murray Journal of
Wildlife Management, 74(3)
[2010] 539-548 PDF
- Real-time calculation of a limiting
form of Renyi entropy applied to detection
of subtle changes in scattering architecture M.S. Hughes, J.E.
McCarthy, M.V. Wickerhauser, J.N. Marsh,
J.M. Arbeit, R.W. Fuhrhop,
K.D. Wallace, T. Thomas, J. Smith, K. Agyem,
G. M. Lanza, and S. A. Wickline Journal of the Acoustical Society
of America, Vol. 126 [2009] 2350 et seq. PDF
- Application of Renyi
entropy for ultrasonic molecular imaging (with M.S. Hughes, J.N. Marsh,
J.M. Arbeit, R.G. Neumann, R.W. Fuhrhop, K.D. Wallace, L. Thomas, J. Smith, K. Agyem, G. M. Lanza, and S. A. Wickline) Journal
of the Acoustical Society of America, Vol. 125 [2009] 3141 et
seq. PDF
- Perfluorocarbon nanoparticles for
molecular imaging and targeted therapeutics, M.S. Hughes, S. Caruthers,
T. Tran, J.N. Marsh, K.D. Wallace, T. Cyrus, K. Partlow,
M. Scott, M. Lijowski, A. Neubauer, P. Winter, G. Hu, H. Zhang, J.E.
McCarthy, B.N. Maurizi,
J. Allen, C. Caradine, R. Neumann, J. Arbeit, G. M. Lanza, and S. A. Wickline) Proceedings
of the IEEE 96 [2008] 397-415. PDF
- Properties of an Entropy-based signal
receiver with an application to ultrasonic molecular imaging, M.S.
Hughes, J.E. McCarthy, J.N Marsh, J.M. Arbeit,
R.G. Neumann, R.W. Fuhrhop, K.D. Wallace,
D.R. Znidersic, B.N. Maurizi,
S.L. Baldwin, G. M. Lanza, and S. A. Wickline Journal of the
Acoustical Society of America 121 [2007] 3542-3557. PDF
- Enhanced Cosmetic Outcome with Running
Horizontal Mattress Sutures, B. Moody, J.E. McCarthy, J. Linder, and G.
Hruza, Dermatologic Surgery Vol.
31 No. 10 [2005] 1313-1316 PDF
- Collagen remodeling after 585-nm
pulsed dye laser irradiation: an ulrasonographic
analysis (with B. Moody and G. Hruza) Dermatologic
Surgery Vol. 29 [2003] 997-1000 PDF
- The Apical Angle: A mathematical
analysis of the ellipse (with B. Moody and R. Sengelmann)
Dermatologic Surgery 2001;27:61-63
- A note on H2 optimal
control problems with passivity constraints, John E. McCarthy and Clas Jacobson, IEEE Transactions on
Automatic Control Vol. 45, No. 2, [2000] 286-290 DVI PS PDF
- Equilibrium of highly asymmetric nonneutral plasmas, J.
Fajans, E.Yu.
Backhaus, and J.E. McCarthy, Physics of Plasmas Vol. 6
[1999] 12-18 PDF
- Solving Poisson's Equation with
Interior Conditions, John E. McCarthy, E.Yu.
Backhaus and J. Fajans Journal of
Mathematical Physics, Vol. 39 [1998] 6720-6729 PDF
COVID-19 Preprints
- Long range
versus short range aerial transmission of SARS-CoV-2, John E. McCarthy,
Bob A. Dumas, Myles T. McCarthy PDF
- Modeling the relative risk of SARS-CoV-2 infection to inform
Risk-Cost-Benefit Analyses of activities during the SARS-CoV-2
pandemic, J.E. McCarthy, B.D. Dewitt, B.A. Dumas, M.T. McCarthy PLOS ONE, to appear PDF
Expository Papers and Talks
How to give a good Colloquium Canadian Mathematical Society Notes Vol.
31 No. 5 [1999] 3-4 DVI
PS PDF
A revision of this by Michele Audin Comment eviter les mauvais
exposes de colloquium?
Video of a lecture given at CIRM Luminy,
November 2019
Norm-preserving extensions of bounded holomorphic
functions -
joint work with Lukasz Kosinski
An entropy based approach to interpreting ultrasound signals -
powerpoint slides
from presentation to St. Louis Machine Learning and Data Science
Meetup, December 2015 PPT
Video of a lecture given at Banff International Research Station,
August 2010
Matrix monotone functions of several variables -
joint work with Jim Agler and Nicholas Young
Mathematical Expository Papers:
- Aspects of non-commutative function
theory (with Jim Agler) Concrete Operators, Vol. 3 [2016] 15-24 PDF
- The use of kernel functions in
solving
the Pick interpolation problem (with Jim Agler) In Handbook of
Operator Theory PDF
- Dirichlet Series (Snapshot of
Modern Mathematics at Oberwolfach; 2014) PDF
- Shining Hilbert's lamp on the bidisk, in Lecture Notes of 2010 Valencia
Winter School Contemporary Mathematics, AMS DVI PDF
- What can Hilbert spaces tell us
about
bounded functions on the bidisk? (with Jim
Agler) in Operator Theory
Advances
and Applications Vol. 207, Paul R. Halmos
Memorial Volume Birkhauser, 2010 DVI
PDF
- Pick's theorem - what's the big
deal? American
Mathematical Monthly Vol. 110 No. 1 [2003] 36-45 DVI
PS
PDF
- On Pisier's
construction of a polynomially bounded
operator not similar to a contraction MSRI Preprint 1996-017
DVI PS
PDF
- Interpolation in Operator Theory
(1995) DVI PS
PDF
Book Reviews
- Function
theory and $\ell^p$ Spaces by Raymond Cheng, Javad Mashreghi and
William T. Ross December 2020
. PDF
- Loewner's theorem on monotone matrix
functions by Barry Simon Bull. Amer. Math. Soc. 57 [4]
2020, 679-684.
PDF Link to review in BAMS
Unsolved Problems
From time to time I will write up some partial results, or a
description of an open problem I find interesting.
- The Lindelof
Conjecture and BMO February
2014. PDF
- Some open problems on Dirichlet series July 2003
. DVI PDF
- Some open problems about properties
(other than boundedness) preserved by Calderon's complex method of
interpolation November 1995 . DVI
PS PDF