Papers of John E. M^cCarthy

Pure Mathematics Papers Applied Mathematics Papers

Expository Papers Unsolved Problems Other Writings

Pure Mathematics Papers

12-4 Unitary N-dilations for tuples of commuting matrices (with Orr Moshe Shalitt) Proceedings American Mathematical Society (to appear) PDF
12-3 Operator monotone functions and Lowner functions of several variables (with Jim Agler and Nicholas Young) PDF
12-2 A Caratheodory theorem for the bidisk via Hilbert space methods (with Jim Agler and Nicholas Young) Mathematische Annalen 352:3 [2012] 581-624 PDF
12-1 Algebraic pairs of isometries (with Jim Agler and Greg Knese) Journal of Operator Theory 67:1 [2012] 101-122 DVI PDF
11-1 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
10-2 Polynomial inequalities for non-commuting operators (with Richard M. Timoney) Electronic Journal of Linear Algebra 20 [2010] 506-518 DVI PDF
08-3 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
08-2 Cusp Algebras (with Jim Agler) Publicacions Matematiques 53 [2008] 111-118 DVI PDF
07-2 Hyperbolic Algebraic and Analytic Curves (with Jim Agler) Indiana University Mathematics Journal Vol. 56, No. 6 [2007] 2899-2933 DVI PDF
06-1 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
05-3 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
05-2 Distinguished varieties (with Jim Agler) Acta Mathematica Vol. 194 [2005] 133-153 DVI PDF Erratum DVI PDF
05-1 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
04-2 Positivity aspects of the Fantappie transform (with M. Putinar) Journal d'Analyse Vol.~97 [2005] 57-82 DVI PS PDF
04-1 Hilbert spaces of Dirichlet Series and their Multipliers Transactions of the American Mathematical Society Vol. 356 [2004] 881-893 DVI PS PDF
03-1 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
01-1 Interpolating Sequences on the Bidisk (with J. Agler) International Journal of Mathematics Vol. 12, No. 9 [2001] 1103-1114 DVI PS PDF
00-4 The three point Pick problem on the Bidisk (with J. Agler) New York Journal of Mathematics Vol. 6 [2000] 227-236 DVI PS PDF
00-3 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
00-2 Complete Nevanlinna-Pick Kernels (with Jim Agler) Journal of Functional Analysis, Vol. 175 [2000] 111-124 DVI PS PDF
00-1 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
99-1 Nevanlinna-Pick Interpolation on the Bidisk (with Jim Agler) Journal f\"ur die reine und angewandte Mathematik Vol. 506 [1999] 191-204 DVI PS PDF
98-3 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
98-2 Solving Poisson's Equation with Interior Conditions (with E.Yu. Backhaus and J. Fajans) Journal of Mathematical Physics, Vol. 39 [1998] 6720-6729 PDF
98-1 Operators that dominate normal operators (with Jim Agler), Journal of Operator Theory Vol. 40 [1998] 385-407 DVI PS PDF
97-2 Subnormal operators and Quadrature domains (with Liming Yang), Advances in Mathematics Vol. 127, No. 1, [1997] 52-72 DVI PS PDF
97-1 Reflexivity of Isometries (with Wing Suet Li), Studia Mathematica Vol. 124, No. 2, [1997] 101-105 DVI PS PDF
96-3 Boundary values and Cowen-Douglas curvature Journal of Functional Analysis Vol. 137, No. 1, [1996] 1-18 DVI PS PDF
96-2 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
96-1 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
95-1 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
94-2 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
94-1 Coefficient estimates in weighted Bergman spaces Duke Mathematical Journal Vol. 76, No. 3, [1994] 751-760 DVI PS PDF
93-3 Non-attainable boundary values for $H^\infty$ functions (with Boris Korenblum) Extracta Mathematicae Vol. 8, No. 2 [1993] 138-141 DVI PS PDF
93-2 Composition preserves rigidity (with Ben Lotto) Bulletin of the London Mathematical Society Vol. 25 No. 117 [1993] 573-576 DVI PS PDF
93-1 Reflexivity of subnormal operators Pacific Journal of Mathematics Vol. 161 No. 2 [1993] 359-370 DVI PS PDF
92-5 Geometric interpolation between Hilbert spaces Arkiv f\"or Matematik Vol. 30 No. 2 [1992] 321-330 DVI PS PDF
92-4 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
92-3 Topologies on the Smirnov class Journal of Functional Analysis Vol. 104 No. 1 [1992] 229-241 DVI PS PDF
92-2 Weighted Bergman spaces Function Spaces (K. Jarosz, ed.), Marcel Dekker, 1992, 301-306 DVI PS PDF
92-1 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
91-1 Multipliers of de Branges spaces (with B. Mark Davis) Michigan Mathematical Journal Vol. 38 No. 2 [1991] 225-240 DVI PS PDF
90-3 Common range of co-analytic Toeplitz operators Journal of the American Mathematical Society Vol. 3 No. 4 [1990] DVI PS PDF
90-2 Quasisimilarity of rationally cyclic subnormal operators Journal of Operator Theory 24 [1990] 105-116 DVI PS PDF
90-1 Analytic structures for subnormal operators Integral Equations and Operator Theory Vol. 13 No. 2 [1990] 251-270 DVI PS PDF

Applied Mathematics Papers

11-4 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, http://www.macsi.ul.ie/esgi75/esgi75proceedings3.pdf
11-3 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, to appear
11-2 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
10-3 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
10-1 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
09-1 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
09-2 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
08-1 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
07-1 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
05-4 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
03-2 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
01-2 The Apical Angle: A mathematical analysis of the ellipse (with B. Moody and R. Sengelmann) Dermatologic Surgery 2001;27:61-63
00-1 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
99-1 Equilibrium of highly asymmetric nonneutral plasmas, J. Fajans, E.Yu. Backhaus, and J.E. McCarthy, Physics of Plasmas Vol. 6 [1999] 12-18 PDF
98-2 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

Expository Papers

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 Banff International Research Station, August 2010

Matrix monotone functions of several variables - joint work with Jim Agler and Nicholas Young

Mathematical Expository Papers

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
Calculating zeta(2k) from harmonic analysis (1992) DVI PS PDF

Unsolved Problems

Being a bear of very little brain, I fail to solve most problems that I attempt. From time to time I will write up some partial results, or a description of an open problem I find interesting.

The Kadison-Singer conjecture: finding large principal submatrices of small norm April 2006. PDF DVI
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

Other writings

How much freedom should we trade for our security? August 10th, 2002. PDF

Papers of John E. McCarthy