A correction and some additions to: ``Fundamental solutions for differential equations associated with the number operator''
Yuh Jia Lee
Trans. Amer. Math. Soc. 276 (1983), 621-624
Primary 35R15; Secondary 28C20, 46G99, 58D20, 60J99
Trans. Amer. Math. Soc. 268 (1981), 467-476.
Full-text PDF Free Access
Similar Articles |
Abstract: Let be an abstract Wiener pair and the operator defined by , where and denotes the - pairing. In this paper, we point out a mistake in the previous paper concerning the existence of fundamental solutions of and intend to make a correction. For this purpose, we study the fundamental solution of the operator and investigate its behavior as . We show that there exists a family of measures which serves as the fundamental solution of and, for a suitable function , we prove that the solution of can be represented by , where is a constant.
- H.-H. Kuo, Potential theory associated with Uhlenbeck-Ornstein process, J. Funct. Anal. 21 (1976), 63-75. MR 0391285 (52:12106)
- Y.-J. Lee, Fundamental solutions for differential equations associated with the number operator, Trans. Amer. Math. Soc. 268 (1981), 467-476. MR 632538 (84k:35140a)
Retrieve articles in Transactions of the American Mathematical Society
Retrieve articles in all journals
Abstract Wiener spaces,
© Copyright 1983
American Mathematical Society