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Mathematical Research of Dr. Aurel Stan

A selection of recent papers:

  1. Stan, Aurel I. Best constants in norms of Wick products. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9 (2006), no. 2, 169--185.

  2. Mueller, Carl; Mytnik, Leonid; Stan, Aurel The heat equation with time-independent multiplicative stable Lévy noise. Stochastic Process. Appl. 116 (2006), no. 1, 70--100.

  3. Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel Probability measures in terms of creation, annihilation, and neutral operators. Quantum probability and infinite dimensional analysis, 1--11, QP--PQ: Quantum Probab. White Noise Anal., 18, World Sci. Publ., Hackensack, NJ, 2005.

  4. Mueller, C.; Stan, A. A Heisenberg inequality for stochastic integrals. J. Theoret. Probab. 18 (2005), no. 2, 291--315.

  5. Stan, Aurel On Heisenberg inequality. Commun. Contemp. Math. 7 (2005), no. 1, 75--88.

  6. Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel Characterization of probability measures through the canonically associated interacting Fock spaces. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7 (2004), no. 4, 485--505.

  7. Ngobi, Said; Stan, Aurel An extension of the Clark-Ocone formula. Int. J. Math. Math. Sci. 2004, no. 25-28, 1463--1476.

  8. Stan, Aurel A Hölder inequality for holomorphic functions. JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), no. 4, Article 75, 4 pp. (electronic).

  9. Stan, Aurel A new Heisenberg inequality for white noise analysis. Finite and infinite dimensional analysis in honor of Leonard Gross (New Orleans, LA, 2001), 215--224, Contemp. Math., 317, Amer. Math. Soc., Providence, RI, 2003.

  10. Kuo, Hui-Hsiung; Saitô, Kimiaki; Stan, Aurel A Hausdorff-Young inequality for white noise analysis. Quantum information, IV (Nagoya, 2001), 115--126, World Sci. Publ., River Edge, NJ, 2002.

  11. Stan, Aurel Paley-Wiener theorem for white noise analysis. J. Funct. Anal. 173 (2000), no. 2, 308--327.

  12. Lee, Yuh-Jia; Stan, Aurel An infinite-dimensional Heisenberg uncertainty principle. Taiwanese J. Math. 3 (1999), no. 4, 529--538.