caa a22 4500 475839447 CHVBK 20180406123857.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010724103207 doi (NATIONALLICENCE)springer-10.1023/A:1010724103207 Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis [Elektronische Daten] [Dong Chung, Un Ji] In this paper we shall show the heredity of a differentiable one-parameter semigroup under the second quantization and then discuss the resolvent of the differential second quantization operator and the potentials of test white noise functionals. As an application, we shall investigate the existence of solutions of the Poisson-type equations associated with differential second quantization operators as well as operators similar to differential second quantization operators. Kluwer Academic Publishers, 2000 white noise nationallicence differential second quantization operator nationallicence one-parameter semigroup nationallicence potential nationallicence Poisson equation nationallicence Chung Dong Department of Mathematics, Sogang University, 121-742, Seoul, Korea aut Ji Un Global Analysis Research Center, Department of Mathematics, Seoul National University, 151-742, Seoul, Korea aut Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 89-100 0167-8019 63:1-3<89 2000 63 10440 https://doi.org/10.1023/A:1010724103207 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010724103207 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chung Dong Department of Mathematics, Sogang University, 121-742, Seoul, Korea aut NATIONALLICENCE 700 1- Ji Un Global Analysis Research Center, Department of Mathematics, Seoul National University, 151-742, Seoul, Korea aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 89-100 0167-8019 63:1-3<89 2000 63 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer