References

  1. Berezanskii Yu.M., Samoilenko Yu.S. Nuclear spaces of functions of infinitely many variables. Ukrainian Math. J. 1973, 25 (6), 599-609. doi: 10.1007/BF01090792 (translation of Ukrain. Mat. Zh. 1973, 25 (6), 723-737 (in Russian))
  2. Chung D.M., Ji U.C. Some Cauchy problems in white noise analysis and associated semigroups of operators. Stochastic Anal. Appl. 1999, 17, (1), 1-22. doi: 10.1080/07362999908809585
  3. Dineen S. Complex analysis on infinite dimensional spaces. Springer, Berlin-Göttingen-Heidelberg, 1999.
  4. Gross L. Potential theory on Hilbert space. J. Funct. Anal. 1967, 1 (2), 123-181. doi: 10.1016/0022-1236(67)90030-4
  5. Hida T. Analysis of Brownian Functionals. In: Carleton Math. Lect. Notes, 13. Carleton Univ. Press, Ottawa, 1975.
  6. Ji U.C., Obata N. Admissible white noise operators and their quantum white noise derivatives. In: Heyer H. et al. (Ed.) Infinite dimensional harmonic analysis III. World Sci. Publ., RiverEdge, NJ, 2005. 213-232.
  7. Komatsu H. An introduction to the theory of generalized functions University Publ., Tokyo, 2000.
  8. Kuo H. White Noise Distribution Theory. CRC Press, Boca Ration, FL, 1996.
  9. Lee J.-S.K. Heat Equation In White Noise Analysis. J. Korean Math. Soc. 1996, 33 (3), 541-555.
  10. Lopushansky O.V., Sharyn S.V. Polynomial ultradistributions on cone $\mathbb R^d_+$. Topology 2009, 48 (2-4), 80-90. doi: 10.1016/j.top.2009.11.005
  11. Schaefer H.H. Topological Vector Spaces. Springer Verlag, New York, 1999.
  12. Sharyn S. Joint functional calculus in algebra of polynomial tempered distributions. Methods Funct. Anal. Topology 2016, 22 (1), 62-73.
  13. Sharyn S.V. Paley-Wiener-type theorem for polynomial ultradifferentiable functions. Carpathian Math. Publ. 2015, 7 (2), 271-279. doi: 10.15330/cmp.7.2.271-279

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