Published Research

  1. Berman, R. Elementary proofs of asymptotic radial uniqueness theorems, Proc. Amer. Math. Soc. Vol. 86(1982), 226-228.
  2. Berman, R. A converse to the Lusin-Privalov radial uniqueness theorem, Proc. Amer. Math. Soc. Vol. 87 (1983), 103-106.
  3. Berman, R. A Weak Reflection Principle for Analytic Functions, J. London Math. Soc. (2) 28 (1983), 339-349.
  4. Berman, R. Analogues of radial uniqueness theorems for subharmonic functions in the unit disk, J. London Math. Soc. (2) 29 (1984), 103-112.
  5. Berman, R. The level sets of the moduli of functions of bounded characteristic, Trans. Amer. Math. Soc. Vol. 281 (1984), 725-744.
  6. Berman, R. A note on the Lusin-Privalov radial uniqueness theorem & its converse, Proc. Amer. Math. Soc. Vol. 92, No. 1. (1984), 64-66.
  7. Berman, R. The sets of fixed radial limit value for inner functions, Illinois J. Math. Vol. 29, No. 2, (1985), 191-219.
  8. Berman, R.; Brown, L.; Cohn, W. Cyclic vectors of bounded characteristic in Bergman spaces, Michigan Math. J. 31 (1984), 295-306.
  9. Berman, R.; Silverman, H. Coefficient inequalities for a subclass of starlike functions, J. Math. Anal. and Appl., Vol. 107, No. 1, (1985), 197-205.
  10. Berman, R. Some results concerning the boundary zero sets of general analytic functions, Trans. Amer. Math. Soc., Vol. 293, No. 2, (1986), 827-836.
  11. Berman, R.; Cohn, W. A radial Phragmen-Lindelof theorem for functions of slow growth, Complex Variables, Theory and Application, Vol. 6, (1986), pp. 299-307.
  12. Berman, R.; Cohn, W. Tangential limits of Blaschke products and functions of bounded mean oscillation, Illinois J. Math. Vol. 31, No.2, (1987), 218-239.
  13. Berman, R.; Brown, L.; Cohn, W. Moduli of continuity and generalized BCH sets, Rocky Mountain J. Math., Vol. 17, No.3, (1987), 315-338.
  14. Berman, R. Generalized variation and functions of slow growth, Canadian Journal of Mathemtics, Vol. 40, (1988), pp. 55-85.
  15. Berman, R.; Cohn, S. Phragmen-Lindelof theorems for subharmonic functions in the unit disk, Math. Scandinav., 62 (1988), 269-293.
  16. Berman, R.; Nishiura, T. Boundary interpolation for inner functions on s -dispersed subsets of the unit circle, J. London Math Soc. (2) 38 (1988), 463-484.
  17. Berman, R. Generalized derivatives and the radial growth of positive harmonic functions, J. Math. Anal. and Appl., 143 (1989), 394-411.
  18. Berman, R.; Nishiura, T.; Piranian, G. Uncountable order sets for radial-limit functions, Ann. Acad. Sci. Fenn., Ser. AI Math., Vol. 14 (1989), 291-313.
  19. Berman, R. Angular Limits and Infinite Asymptotic Values of Analytic of Slow Growth, Illinois J. of Math., Vol. 34, No. 4, Winter, 1990, 845-858.
  20. Berman, R.; Singman, D. Boundary Behavior of solutions of the Helmholtz equation and Helmholtz potentials, Mich. J. Math., 38 (1991), 381-393.
  21. Berman, R.; Cohn, W. Littlewood Theorem for Limits and Growth of Potentials along Level Sets of Holder Continuous Functions, American J. of Math., 114 (1991), 185-227.
  22. Berman, R.; Nishiura, T. Applications of selection theorems to radial cluster set interpolation for functions on the ball, Ann. Acad. Sci. Fenn. Ser. AI Math. 16(1991), 411-435.
  23. Berman, R. Boundary limits and an asymptotic Phragmen-Lindelof theorem for analytic functions of slow growth, Indiana J. Math., 41 (1992), 465-481.
  24. Berman, R.; Singman, D. Intermittent oscillation and tangential growth of functions with respect to Nagel-Stein regions on a half-space, Illinois J. Math, Spring 1994, 19-46
  25. Berman, R. Angular limits, a Phragmen-Lindelof theorem, and level domains of functions in the MacLane class, Complex Variables, 22 (1993), 229-240
  26. Berman, R.; Nishiura, T. Interpolation by radial cluster set functions and a Bagemihl-Seidel conjecture, J. London Math Soc., (2), 49 (1994), 517-528
  27. 27. Berman, R.; Nishiura, T. Some mapping properties of the radial-limit function of an inner function, J. London Math. Soc., (2) 52 (1995), 375-390
  28. 28. Belna, C.; Berman, R.; Colwell, P.; Piranian G. The zero-sets of the radial-limit functions of inner functions, Trans. Amer. Math. Soc., Vol. 347, Num. 9, Sept. 1995, 3605-3612

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