Restrictions of analytic functions. III
HTML articles powered by AMS MathViewer
- by Marvin Rosenblum and James Rovnyak PDF
- Proc. Amer. Math. Soc. 52 (1975), 222-226 Request permission
Abstract:
Characterizations are given of all real and all pure imaginary functions on a real Borel set which occur as restrictions of boundary functions of functions holomorphic and having positive imaginary part in the upper half-plane.References
- N. Aronszajn and W. F. Donoghue, A supplement to the paper on exponential representations of analytic functions in the upper half-plane with positive imaginary part, J. Analyse Math. 12 (1964), 113–127. MR 168769, DOI 10.1007/BF02807431
- Marvin Rosenblum and James Rovnyak, Two theorems on finite Hilbert transforms, J. Math. Anal. Appl. 48 (1974), 708–720. MR 365006, DOI 10.1016/0022-247X(74)90145-0
- Marvin Rosenblum and James Rovnyak, Restrictions of analytic functions. I, Proc. Amer. Math. Soc. 48 (1975), 113–119. MR 399924, DOI 10.1090/S0002-9939-1975-0399924-9
- Marvin Rosenblum and James Rovnyak, Restrictions of analytic functions. I, Proc. Amer. Math. Soc. 48 (1975), 113–119. MR 399924, DOI 10.1090/S0002-9939-1975-0399924-9 E. C. Titchmarsh, Introduction to the theory of Fourier integrals, 2nd ed., Clarendon Press, Oxford, 1948.
- F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 222-226
- MSC: Primary 47B35; Secondary 30A78, 42A40
- DOI: https://doi.org/10.1090/S0002-9939-1975-0399926-2
- MathSciNet review: 0399926