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Dr. Carl Cowen

Dr. Carl Cowen Professor Emeritus
      cowen@purdue.edu

      Personal Website

      Research Interest(s):
      operator theory, complex analysis, linear algebra

      Publications listed in MathSciNet

      • [1] C. C. Cowen, A. E. Richman, D. E. Crosby, T. L. Horine, R. M. Ortiz Albino, Y. C. Yeow, and B. S. Zerbe. Geometric properties of linear fractional maps. Indiana Univ. Math. J., 55(2):553-577, 2006.
      • [2] Carl C. Cowen and Barbara D. MacCluer. Schroeder's equation in several variables. Taiwanese J. Math., 7(1):129-154, 2003.
      • [3] Carl C. Cowen and Barbara D. MacCluer. Linear fractional maps of the ball and their composition operators. Acta Sci. Math. (Szeged), 66(1-2):351-376, 2000.
      • [4] Carl C. Cowen and Barbara D. MacCluer. Some problems on composition operators. In Studies on composition operators (Laramie, WY, 1996), volume 213 of Contemp. Math., pages 17-25. Amer. Math. Soc., Providence, RI, 1998.
      • [5] Farhad Jafari, Barbara D. MacCluer, Carl C. Cowen, and A. Duane Porter, editors. Studies on composition operators, volume 213 of Contemporary Mathematics, Providence, RI, 1998. American Mathematical Society.
      • [6] C. C. Cowen, P. A. Ferguson, D. K. Jackman, E. A. Sexauer, C. Vogt, and H. J. Woolf. Finding norms of Hadamard multipliers. Linear Algebra Appl., 247:217-235, 1996.
      • [7] Carl C. Cowen and Barbara D. MacCluer. Composition operators on spaces of analytic functions. Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1995.
      • [8] Carl C. Cowen, Kelly E. Debro, and Peter D. Sepanski. Geometry and the norms of Hadamard multipliers. Linear Algebra Appl., 218:239-249, 1995.
      • [9] Carl C. Cowen and Barbara D. MacCluer. Spectra of some composition operators. J. Funct. Anal., 125(1):223-251, 1994.
      • [10] Carl C. Cowen, Michael A. Dritschel, and Richard C. Penney. Norms of Hadamard multipliers. SIAM J. Matrix Anal. Appl., 15(1):313-320, 1994.
      • [11] James R. Angelos, Carl C. Cowen, and Sivaram K. Narayan. Triangular truncation and finding the norm of a Hadamard multiplier. Linear Algebra Appl., 170:117-135, 1992.
      • [12] Carl C. Cowen. Transferring subnormality of adjoint composition operators. Integral Equations Operator Theory, 15(1):167-171, 1992.
      • [13] Tom Carroll and Carl C. Cowen. Compact composition operators not in the Schatten classes. J. Operator Theory, 26(1):109-120, 1991.
      • [14] Carl C. Cowen. Composition operators on Hilbert spaces of analytic functions: a status report. In Operator theory: operator algebras and applications, Part 1 (Durham, NH, 1988), volume 51 of Proc. Sympos. Pure Math., pages 131-145. Amer. Math. Soc., Providence, RI, 1990.
      • [15] Carl C. Cowen. An application of Hadamard multiplication to operators on weighted Hardy spaces. Linear Algebra Appl., 133:21-32, 1990.
      • [16] Carl C. Cowen and Thomas L. Kriete, III. Subnormality and composition operators on H2. J. Funct. Anal., 81(2):298-319, 1988.
      • [17] Carl C. Cowen and Shao Kuan Li. Hilbert space operators that are subnormal in the Kre\i n space sense. J. Operator Theory, 20(1):165-181, 1988.
      • [18] Carl C. Cowen. Hyponormal and subnormal Toeplitz operators. In Surveys of some recent results in operator theory, Vol. I, volume 171 of Pitman Res. Notes Math. Ser., pages 155-167. Longman Sci. Tech., Harlow, 1988.
      • [19] Carl C. Cowen. Hyponormality of Toeplitz operators. Proc. Amer. Math. Soc., 103(3):809-812, 1988.
      • [20] Carl C. Cowen. Linear fractional composition operators on H2. Integral Equations Operator Theory, 11(2):151-160, 1988.
      • [21] Carl C. Cowen. More subnormal Toeplitz operators. J. Reine Angew. Math., 367:215-219, 1986.
      • [22] Carl C. Cowen and John J. Long. Some subnormal Toeplitz operators. J. Reine Angew. Math., 351:216-220, 1984.
      • [23] Carl C. Cowen. Commuting analytic functions. Trans. Amer. Math. Soc., 283(2):685-695, 1984.
      • [24] Carl C. Cowen. Subnormality of the Cesàro operator and a semigroup of composition operators. Indiana Univ. Math. J., 33(2):305-318, 1984.
      • [25] Carl C. Cowen. Composition operators on H2. J. Operator Theory, 9(1):77-106, 1983.
      • [26] Carl C. Cowen. Analytic solutions of Böttcher's functional equation in the unit disk. Aequationes Math., 24(2-3):187-194, 1982.
      • [27] Carl C. Cowen and Christian Pommerenke. Inequalities for the angular derivative of an analytic function in the unit disk. J. London Math. Soc. (2), 26(2):271-289, 1982.
      • [28] Carl C. Cowen. On equivalence of Toeplitz operators. J. Operator Theory, 7(1):167-172, 1982.
      • [29] Carl C. Cowen. Iteration and the solution of functional equations for functions analytic in the unit disk. Trans. Amer. Math. Soc., 265(1):69-95, 1981.
      • [30] C. C. Cowen and Lee A. Rubel. A joint spectrum for shift invariant subspaces of H2 of the polydisc. Proc. Roy. Irish Acad. Sect. A, 80(2):233-243, 1980.
      • [31] Carl C. Cowen. The commutant of an analytic Toeplitz operator. II. Indiana Univ. Math. J., 29(1):1-12, 1980.
      • [32] C. C. Cowen, K. R. Davidson, and R. P. Kaufman. Rearranging the alternating harmonic series. Amer. Math. Monthly, 87(10):817-819, 1980.
      • [33] Carl C. Cowen. An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators. J. Funct. Anal., 36(2):169-184, 1980.
      • [34] Carl C. Cowen. Commutants and the operator equations AX=λXA. Pacific J. Math., 80(2):337-340, 1979.
      • [35] Carl C. Cowen. Commutants of analytic Toeplitz operators with automorphic symbol. In Hilbert space operators (Proc. Conf., Calif. State Univ., Long Beach, Calif., 1977), volume 693 of Lecture Notes in Math., pages 71-75. Springer, Berlin, 1978.
      • [36] Carl C. Cowen. The commutant of an analytic Toeplitz operator. Trans. Amer. Math. Soc., 239:1-31, 1978.

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