Papers of John E. M^cCarthy

Pure Mathematics Papers                 Applied Mathematics Papers

Expository Papers                 Unsolved Problems                 Other Writings

Pure Mathematics Papers

• 07-3 Cusp Algebras (with Jim Agler) Publicacions Matematiques (to appear) 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
• 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

• 08-1 Perfluorocarbon nanoparticles for molecular imaging and targeted therapeutics (with 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, 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 (with M.S. Hughes, 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 (with B. Moody, G. Hruza and J. Linder) 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 (with 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 (with J. Fajans and E.Yu. Backhaus) Physics of Plasmas Vol. 6 [1999] 12-18 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

Expository Papers

1. How to give a good Colloquium Canadian Mathematical Society Notes Vol. 31 No. 5 [1999] 3-4 DVI   PS   PDF
2. Pick's theorem - what's the big deal? American Mathematical Monthly) Vol. 110 No. 1 [2003] 36-45 DVI   PS   PDF
3. On Pisier's construction of a polynomially bounded operator not similar to a contraction MSRI Preprint 1996-017 DVI   PS   PDF
4. Interpolation in Operator Theory (1995) DVI   PS   PDF
5. Calculating zeta(2k) from harmonic analysis (1992) DVI   PS   PDF  

Unsolved Problems

• 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

Essays and Book Reviews

• How much freedom should we trade for our security? August 10th, 2002. PDF
• Regulating reproduction in India's population By K. Srinivasan, Sage, New Delhi, 1995. Review in J. Environment and Development, Vol. 6, No. 1, [1997] 96-98 DVI   PS   PDF

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