Kachanovs’kyĭ, M. O. Clark-Ocone type formulas on the spaces of regular basic and generalized functions in the analysis of Levy white noise. (Ukrainian. English summary) Zbl 1538.46054 Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 805-842 (2023). MSC: 46F25 60H40 46F05 60G51 60H05 PDFBibTeX XMLCite \textit{M. O. Kachanovs'kyĭ}, Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 805--842 (2023; Zbl 1538.46054) Full Text: DOI OA License
Bock, Wolfgang; Gumanoy, Ang Elyn Generalized Mittag-Leffler kernels and generalized scaling operators in Mittag-Leffler analysis. (English) Zbl 1524.46055 Methods Funct. Anal. Topol. 27, No. 4, 308-319 (2021). MSC: 46F25 26E15 47B38 33E12 PDFBibTeX XMLCite \textit{W. Bock} and \textit{A. E. Gumanoy}, Methods Funct. Anal. Topol. 27, No. 4, 308--319 (2021; Zbl 1524.46055) Full Text: DOI
Kachanovs’kyĭ, M. O. On stochastic integration, differentiation and Wick calculus in the Lévy white noise analysis. (Ukrainian. English summary) Zbl 1488.46079 Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 456-507 (2021). MSC: 46F25 60H40 46F05 47A05 60G51 60H05 60-02 PDFBibTeX XMLCite \textit{M. O. Kachanovs'kyĭ}, Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 456--507 (2021; Zbl 1488.46079)
Altoum, Sami H.; Ettaieb, Aymen; Rguigui, Hafedh Generalized Bernoulli Wick differential equation. (English) Zbl 1478.46042 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 1, Article ID 2150008, 16 p. (2021). MSC: 46F25 46G20 60H40 34L30 PDFBibTeX XMLCite \textit{S. H. Altoum} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 1, Article ID 2150008, 16 p. (2021; Zbl 1478.46042) Full Text: DOI
Pilipović, Stevan; Vojnović, Ivana Defect distributions applied to differential equations with power function type coefficients. (English) Zbl 1461.46043 J. Pseudo-Differ. Oper. Appl. 11, No. 3, 1231-1248 (2020). Reviewer: Bojan Prangoski (Skopje) MSC: 46F25 46F12 40A30 42B15 PDFBibTeX XMLCite \textit{S. Pilipović} and \textit{I. Vojnović}, J. Pseudo-Differ. Oper. Appl. 11, No. 3, 1231--1248 (2020; Zbl 1461.46043) Full Text: DOI
Kachanovsky, N. A.; Kachanovska, T. Interconnection between Wick multiplication and integration on spaces of nonregular generalized functions in the Lévy white noise analysis. (Interconnection between Wick multiplication and integration on spaces of nonregular generalized functions in the Levy white noise analysis.) (English) Zbl 1437.46049 Carpathian Math. Publ. 11, No. 1, 70-88 (2019). MSC: 46F25 46F10 60G51 60H05 60H40 PDFBibTeX XMLCite \textit{N. A. Kachanovsky} and \textit{T. Kachanovska}, Carpathian Math. Publ. 11, No. 1, 70--88 (2019; Zbl 1437.46049) Full Text: DOI OA License
Aleksić, Jelena; Pilipović, Stevan; Vojnović, Ivana \(H\)-distributions with unbounded multipliers. (English) Zbl 1408.46042 J. Pseudo-Differ. Oper. Appl. 9, No. 3, 615-641 (2018). Reviewer: Antonio Galbis (Valencia) MSC: 46F25 47G30 46F12 42B15 PDFBibTeX XMLCite \textit{J. Aleksić} et al., J. Pseudo-Differ. Oper. Appl. 9, No. 3, 615--641 (2018; Zbl 1408.46042) Full Text: DOI
Kachanovsky, N. A. On Wick calculus on spaces of nonregular generalized functions of Lévy white noise analysis. (English) Zbl 1459.46045 Carpathian Math. Publ. 10, No. 1, 114-132 (2018). MSC: 46F25 60G51 60H40 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Carpathian Math. Publ. 10, No. 1, 114--132 (2018; Zbl 1459.46045) Full Text: DOI OA License
Aleksić, Jelena; Pilipović, Stevan; Vojnović, Ivana Defect distributions related to weakly convergent sequences in Bessel-type spaces \(H_{\Lambda}^{-s,p}\). (English) Zbl 1402.46031 Mediterr. J. Math. 15, No. 3, Paper No. 142, 17 p. (2018). MSC: 46F25 46F12 42B15 PDFBibTeX XMLCite \textit{J. Aleksić} et al., Mediterr. J. Math. 15, No. 3, Paper No. 142, 17 p. (2018; Zbl 1402.46031) Full Text: DOI
Horrigue, Samah \(\gamma\)-product of white noise space and applications. (English) Zbl 1391.46049 Random Oper. Stoch. Equ. 25, No. 4, 203-209 (2017). MSC: 46F25 60H40 81S25 PDFBibTeX XMLCite \textit{S. Horrigue}, Random Oper. Stoch. Equ. 25, No. 4, 203--209 (2017; Zbl 1391.46049) Full Text: DOI
Grothaus, M.; Jahnert, F. Mittag-Leffler analysis. II: Application to the fractional heat equation. (English) Zbl 1360.46034 J. Funct. Anal. 270, No. 7, 2732-2768 (2016). MSC: 46F25 60G22 26A33 33E12 PDFBibTeX XMLCite \textit{M. Grothaus} and \textit{F. Jahnert}, J. Funct. Anal. 270, No. 7, 2732--2768 (2016; Zbl 1360.46034) Full Text: DOI arXiv
Grothaus, M.; Jahnert, F.; Riemann, F.; da Silva, J. L. Mittag-Leffler analysis. I: Construction and characterization. (English) Zbl 1322.46026 J. Funct. Anal. 268, No. 7, 1876-1903 (2015). Reviewer: Hossam A. Ghany (Taif) MSC: 46F25 46G12 60G22 33E12 46F30 PDFBibTeX XMLCite \textit{M. Grothaus} et al., J. Funct. Anal. 268, No. 7, 1876--1903 (2015; Zbl 1322.46026) Full Text: DOI arXiv
Kim, Namhoon A proof of Łojasiewicz’s theorem. (English) Zbl 1474.46080 Abstr. Appl. Anal. 2014, Article ID 695617, 6 p. (2014). MSC: 46F25 46F10 PDFBibTeX XMLCite \textit{N. Kim}, Abstr. Appl. Anal. 2014, Article ID 695617, 6 p. (2014; Zbl 1474.46080) Full Text: DOI OA License
Melnikova, Irina V.; Alshanskiy, Maxim A. Generalized solutions to equations with multiplicative noise in Hilbert spaces. (English) Zbl 1334.46036 Rend. Semin. Mat., Univ. Politec. Torino 71, No. 2, 239-249 (2013). Reviewer: Nobuhiro Asai (Kariya) MSC: 46F25 47D06 34K30 60H40 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{M. A. Alshanskiy}, Rend. Semin. Mat., Univ. Politec. Torino 71, No. 2, 239--249 (2013; Zbl 1334.46036)
Kachanovsky, N. A. On Kondratiev spaces of test functions in the non-Gaussian infinite-dimensional analysis. (English) Zbl 1313.46048 Methods Funct. Anal. Topol. 19, No. 4, 301-309 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46F25 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 19, No. 4, 301--309 (2013; Zbl 1313.46048)
Sharyn, Sergii Fourier transformation in the algebra of polynomial Schwartz tempered distributions. (Ukrainian. English summary) Zbl 1265.46060 Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 366-374 (2012). MSC: 46F25 46G25 PDFBibTeX XMLCite \textit{S. Sharyn}, Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 366--374 (2012; Zbl 1265.46060)
Sharyn, Sergij Shift semigroups in the algebra of polynomial Schwartz tempered distributions. (Ukrainian. English summary) Zbl 1265.46061 Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 230-242 (2011). MSC: 46F25 46G25 PDFBibTeX XMLCite \textit{S. Sharyn}, Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 230--242 (2011; Zbl 1265.46061)
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh Generalized Euler heat equation. (English) Zbl 1214.46024 Ouerdiane, Habib (ed.) et al., Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13–18, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4295-42-0/hbk; 978-981-4295-43-7/ebook). QP-PQ: Quantum Probability and White Noise Analysis 25, 99-116 (2010). Reviewer: Adam Skalski (Warszawa) MSC: 46F25 60H15 60H40 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., in: Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13--18, 2008. Hackensack, NJ: World Scientific. 99--116 (2010; Zbl 1214.46024)
Łopuszański, O. Polynomial ultradistributions: differentiation and Laplace transformation. (English) Zbl 1203.46028 Kamiński, Andrzej (ed.) et al., Linear and non-linear theory of generalized functions and its applications. Proceedings of the Banach Center conference, Bȩdlewo, Poland, September 2–8, 2007. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-07-2/pbk). Banach Center Publications 88, 195-209 (2010). MSC: 46F25 46F12 46G25 PDFBibTeX XMLCite \textit{O. Łopuszański}, Banach Cent. Publ. 88, 195--209 (2010; Zbl 1203.46028) Full Text: DOI
Lopushansky, Oleh; Sharyn, Sergii Polynomial ultradistributions on \(\mathbb R^d_+\). (English) Zbl 1266.46034 Topology 48, No. 2-4, 80-90 (2009). MSC: 46F25 46G25 PDFBibTeX XMLCite \textit{O. Lopushansky} and \textit{S. Sharyn}, Topology 48, No. 2--4, 80--90 (2009; Zbl 1266.46034) Full Text: DOI
Gomez, F.; Smolyanov, O. G. Modified Lévy Laplacians. (English) Zbl 1186.46043 Russ. J. Math. Phys. 15, No. 1, 45-50 (2008). MSC: 46F25 46G99 60H40 PDFBibTeX XMLCite \textit{F. Gomez} and \textit{O. G. Smolyanov}, Russ. J. Math. Phys. 15, No. 1, 45--50 (2008; Zbl 1186.46043) Full Text: DOI
Krée, Paul Problems related with Legendre’s tail control. I: First general results and first interactions. (Problèmes liés aux contrôles de taille legendriens. I: Premiers résultats généraux et premières interactions.) (French. English summary) Zbl 1186.46044 Biane, Philippe (ed.) et al., Analyse et probabilités. Paris: Société Mathématique de France (ISBN 978-2-85629-238-9/pbk). Séminaires et Congrès 16, 109-150 (2008). MSC: 46F25 46G20 PDFBibTeX XMLCite \textit{P. Krée}, Sémin. Congr. 16, 109--150 (2008; Zbl 1186.46044)
Becnel, Jeremy J. Delta function for an affine subspace. (English) Zbl 1177.46029 Taiwanese J. Math. 12, No. 9, 2269-2294 (2008). MSC: 46F25 60H40 PDFBibTeX XMLCite \textit{J. J. Becnel}, Taiwanese J. Math. 12, No. 9, 2269--2294 (2008; Zbl 1177.46029) Full Text: DOI
Horrigue, S.; Ouerdiane, H. Generalized Hankel operators on the white noise distributions. (English) Zbl 1181.46032 Commun. Math. Anal. 4, No. 2, 19-29 (2008). MSC: 46F25 47B35 60H40 PDFBibTeX XMLCite \textit{S. Horrigue} and \textit{H. Ouerdiane}, Commun. Math. Anal. 4, No. 2, 19--29 (2008; Zbl 1181.46032)
Ji, Un Cig Quantum extensions of Fourier–Gauss and Fourier–Mehler transforms. (English) Zbl 1169.46020 J. Korean Math. Soc. 45, No. 6, 1785-1801 (2008). MSC: 46F25 60H40 PDFBibTeX XMLCite \textit{U. C. Ji}, J. Korean Math. Soc. 45, No. 6, 1785--1801 (2008; Zbl 1169.46020) Full Text: DOI
Shimada, Yoshihito White noise distribution theory and its application. (English) Zbl 1140.46320 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 279-291 (2008). MSC: 46F25 PDFBibTeX XMLCite \textit{Y. Shimada}, Banach Cent. Publ. 78, 279--291 (2008; Zbl 1140.46320)
da Silva, J. L.; Erraoui, M.; Ouerdiane, H. Generalized fractional evolution equation. (English) Zbl 1153.46026 Fract. Calc. Appl. Anal. 10, No. 4, 375-398 (2007). MSC: 46F25 26A33 46G20 35R15 PDFBibTeX XMLCite \textit{J. L. da Silva} et al., Fract. Calc. Appl. Anal. 10, No. 4, 375--398 (2007; Zbl 1153.46026) Full Text: EuDML
Grasela, Katarzyna Polynomials on the space of \(\omega\)-ultradifferentiable functions. (English) Zbl 1155.46308 Opusc. Math. 27, No. 2, 221-230 (2007). MSC: 46F25 46F10 PDFBibTeX XMLCite \textit{K. Grasela}, Opusc. Math. 27, No. 2, 221--230 (2007; Zbl 1155.46308)
Kachanovsky, N. A. On an extended stochastic integral and the Wick calculus on the connected with the generalized Meixner measure Kondratiev-type spaces. (English) Zbl 1150.46016 Methods Funct. Anal. Topol. 13, No. 4, 338-379 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46F25 60H05 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 13, No. 4, 338--379 (2007; Zbl 1150.46016)
Lifanov, I. K.; Nenashev, A. S. Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics. (English. Russian original) Zbl 1175.46031 Differ. Equ. 43, No. 6, 862-872 (2007); translation from Differ. Uravn. 43, No. 6, 841-851 (2007). MSC: 46F25 45E99 76G25 78A25 PDFBibTeX XMLCite \textit{I. K. Lifanov} and \textit{A. S. Nenashev}, Differ. Equ. 43, No. 6, 862--872 (2007; Zbl 1175.46031); translation from Differ. Uravn. 43, No. 6, 841--851 (2007) Full Text: DOI
Chaari, Sonia; Ouerdiane, Habib White noise analysis in the Poisson space. (English) Zbl 1148.46025 Afr. Diaspora J. Math. 4, No. 2, 103-119 (2007). MSC: 46F25 60H40 46G20 82B21 PDFBibTeX XMLCite \textit{S. Chaari} and \textit{H. Ouerdiane}, Afr. Diaspora J. Math. 4, No. 2, 103--119 (2007; Zbl 1148.46025)
Ayed, W.; Ouerdiane, H. Integral representation of positive operator on infinite dimensional space of entire functions. (English) Zbl 1144.46037 Accardi, Luigi (ed.) et al., Quantum probability and infinite dimensional analysis. Proceedings of the 26th conference, Levico, Italy, 20–26 February 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-851-9/hbk). QP-PQ: Quantum Probability and White Noise Analysis 20, 53-63 (2007). MSC: 46F25 46A11 47B99 PDFBibTeX XMLCite \textit{W. Ayed} and \textit{H. Ouerdiane}, in: Quantum probability and infinite dimensional analysis. Proceedings of the 26th conference, Levico, Italy, 20--26 February 2005. Hackensack, NJ: World Scientific. 53--63 (2007; Zbl 1144.46037)
Kallianpur, Gopinath On tractal distributions – a contribution to the Hida theory. (English) Zbl 1087.46032 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 1, 121-127 (2005). Reviewer: Habib Ouerdiane (Tunis) MSC: 46F25 60H40 PDFBibTeX XMLCite \textit{G. Kallianpur}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 1, 121--127 (2005; Zbl 1087.46032) Full Text: DOI
Shimada, Yoshihito On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system. arXiv:math-ph/0512065 Preprint, arXiv:math-ph/0512065 [math-ph] (2005). MSC: 46F25 81R10 BibTeX Cite \textit{Y. Shimada}, ``On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system'', Preprint, arXiv:math-ph/0512065 [math-ph] (2005) Full Text: arXiv
Shimada, Yoshihito White noise distribution theory for the Fermion system. arXiv:math-ph/0503051 Preprint, arXiv:math-ph/0503051 [math-ph] (2005). MSC: 46F25 BibTeX Cite \textit{Y. Shimada}, ``White noise distribution theory for the Fermion system'', Preprint, arXiv:math-ph/0503051 [math-ph] (2005) Full Text: arXiv
Tesko, V. A. On spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme. (Ukrainian, English) Zbl 1080.46028 Ukr. Mat. Zh. 56, No. 7, 977-990 (2004); translation in Ukr. Math. J. 56, No. 7, 1166-1181 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 46F25 46F05 28C20 46G12 PDFBibTeX XMLCite \textit{V. A. Tesko}, Ukr. Mat. Zh. 56, No. 7, 977--990 (2004; Zbl 1080.46028); translation in Ukr. Math. J. 56, No. 7, 1166--1181 (2004) Full Text: DOI
Tesko, V. A. A construction of generalized translation operators. (English) Zbl 1070.46030 Methods Funct. Anal. Topol. 10, No. 4, 86-92 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 46F25 47A70 47B37 PDFBibTeX XMLCite \textit{V. A. Tesko}, Methods Funct. Anal. Topol. 10, No. 4, 86--92 (2004; Zbl 1070.46030)
Berezans’kyi, Yu. M.; Tesko, V. A. Spaces of test and generalized functions related to generalized translation operators. (English) Zbl 1080.46027 Ukr. Mat. Zh. 55, No. 12, 1587-1657 (2003) and Ukr. Math. J. 55, No. 12, 1907-1979 (2003). Reviewer: A. N. Kochubei (Kyïv) MSC: 46F25 46E50 28C20 60H40 47A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} and \textit{V. A. Tesko}, Ukr. Mat. Zh. 55, No. 12, 1587--1657 (2003; Zbl 1080.46027) Full Text: DOI
Grasela, K. Generalized derivations and Fourier transform of polynomial ultradistributions. (English) Zbl 1056.46041 Mat. Stud. 20, No. 2, 167-178 (2003). MSC: 46F25 58C35 PDFBibTeX XMLCite \textit{K. Grasela}, Mat. Stud. 20, No. 2, 167--178 (2003; Zbl 1056.46041)
Liu, Kai; Chen, Anyue A class of generalized Lévy Laplacians in infinite dimensional calculus. (English) Zbl 1017.46028 Isr. J. Math. 124, 157-176 (2001). Reviewer: Rimas Norvaiša (Vilnius) MSC: 46F25 46G05 PDFBibTeX XMLCite \textit{K. Liu} and \textit{A. Chen}, Isr. J. Math. 124, 157--176 (2001; Zbl 1017.46028) Full Text: DOI
Asai, Nobuhiro; Kubo, Izumi; Kuo, Hui-Hsiung CKS-space in terms of growth functions. (English) Zbl 0979.46025 Hida, T. (ed.) et al., Quantum information II. Proceedings of the 2nd international conference. Meijo Univ., Nagoya, Japan, March 1-5, 1999. Singapore: World Scientific. 17-27 (2000). MSC: 46F25 60H40 PDFBibTeX XMLCite \textit{N. Asai} et al., in: Quantum information II. Proceedings of the 2nd international conference. Meijo Univ., Nagoya, Japan, March 1--5, 1999. Singapore: World Scientific. 17--27 (2000; Zbl 0979.46025) Full Text: arXiv
Kachanovsky, N. A. On biorthogonal approach to a construction of non-Gaussian analysis and application to the Poisson analysis on the configuration space. (English) Zbl 0966.46021 Methods Funct. Anal. Topol. 6, No. 2, 13-21 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 46F25 60H40 28C20 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 6, No. 2, 13--21 (2000; Zbl 0966.46021)
Querdiane, Habib; Rezgui, Anis Integral representation for positive analytic functionals. (Représentation intégrale de fonctionnelles analytiques positives.) (French) Zbl 0969.46028 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. I. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 28, 283-290 (2000). MSC: 46F25 46G12 46A11 46G20 60E10 46F12 46F15 PDFBibTeX XMLCite \textit{H. Querdiane} and \textit{A. Rezgui}, CMS Conf. Proc. 28, 283--290 (2000; Zbl 0969.46028)
Kachanovsky, N. A. On a biorthogonal approach to the construction of non-Gaussian analysis. (English) Zbl 1027.46045 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 367-376 (2000). MSC: 46F25 46N30 60G20 60H40 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, CMS Conf. Proc. 29, 367--376 (2000; Zbl 1027.46045)
Chung, Dong Myung; Ji, Un Cig Multi-parameter transformation groups on white noise functionals. (English) Zbl 1006.46031 J. Math. Anal. Appl. 252, No. 2, 729-749 (2000). Reviewer: Hideo Yamagata (Osaka) MSC: 46F25 47A70 60H40 47D03 PDFBibTeX XMLCite \textit{D. M. Chung} and \textit{U. C. Ji}, J. Math. Anal. Appl. 252, No. 2, 729--749 (2000; Zbl 1006.46031) Full Text: DOI
Deck, Thomas Hida distributions on compact Lie groups. (English) Zbl 0971.46028 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 337-362 (2000). Reviewer: V.Karunakaran (Madurai) MSC: 46F25 46G12 28C20 PDFBibTeX XMLCite \textit{T. Deck}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 337--362 (2000; Zbl 0971.46028) Full Text: DOI
Ji, Un Cig Integral kernel operators on regular generalized white noise functions. (English) Zbl 0963.46024 Bull. Korean Math. Soc. 37, No. 3, 601-618 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 46F25 47B34 PDFBibTeX XMLCite \textit{U. C. Ji}, Bull. Korean Math. Soc. 37, No. 3, 601--618 (2000; Zbl 0963.46024)
Stan, Aurel Paley-Wiener theorem for white noise analysis. (English) Zbl 0961.46033 J. Funct. Anal. 173, No. 2, 308-327 (2000). Reviewer: D.Mitrović (Zagreb) MSC: 46F25 46F12 46F10 47A70 PDFBibTeX XMLCite \textit{A. Stan}, J. Funct. Anal. 173, No. 2, 308--327 (2000; Zbl 0961.46033) Full Text: DOI
Kubo, I.; Kuo, H.-H.; Sengupta, A. White noise analysis on a new space of Hida distributions. (English) Zbl 1043.46506 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 3, 315-335 (1999). MSC: 46F25 46G12 60G20 60H40 PDFBibTeX XMLCite \textit{I. Kubo} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 3, 315--335 (1999; Zbl 1043.46506) Full Text: DOI
Gong, Fuzhou; Dong, Zhao Embedding theorems for test functions and spaces of distributions on locally convex spaces and their application. (Chinese. English summary) Zbl 1027.46507 Acta Math. Sin. 42, No. 2, 335-342 (1999). MSC: 46F25 35S05 46A99 46E50 PDFBibTeX XMLCite \textit{F. Gong} and \textit{Z. Dong}, Acta Math. Sin. 42, No. 2, 335--342 (1999; Zbl 1027.46507)
Kachanovsky, N. A.; Koshkin, S. V. Minimality of Appell-like systems and embeddings of test-function spaces in a generalization of white noise analysis. (English) Zbl 0948.46034 Methods Funct. Anal. Topol. 5, No. 3, 13-25 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 46F25 46F05 46F12 60H40 PDFBibTeX XMLCite \textit{N. A. Kachanovsky} and \textit{S. V. Koshkin}, Methods Funct. Anal. Topol. 5, No. 3, 13--25 (1999; Zbl 0948.46034)
Dong Myung Chung; Un Cig Ji; Seitô, Kimiaki Cauchy problems associated with the Lévy Laplacian in white noise analysis. (English) Zbl 0936.46033 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 1, 131-153 (1999). MSC: 46F25 47D06 60H40 47F05 PDFBibTeX XMLCite \textit{Dong Myung Chung} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 1, 131--153 (1999; Zbl 0936.46033) Full Text: DOI
Chung, Dong Myung; Chung, Tae Su; Ji, Un Cig A characterization theorem for operators on white noise functionals. (English) Zbl 0935.46039 J. Math. Soc. Japan 51, No. 2, 437-447 (1999). Reviewer: P.P.Teodorescu (Bucureşti) MSC: 46F25 60H40 PDFBibTeX XMLCite \textit{D. M. Chung} et al., J. Math. Soc. Japan 51, No. 2, 437--447 (1999; Zbl 0935.46039) Full Text: DOI
Barbulyak, L. V. Biorthogonal systems of Appell polynomials for smooth measures on \({\mathbb R}_{+}\). (English. Ukrainian original) Zbl 1024.46012 Theory Probab. Math. Stat. 59, 1-9 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 1-9 (1998). Reviewer: A.V.Swishchuk (Kyïv) MSC: 46F25 33C45 42C05 43A62 60G99 PDFBibTeX XMLCite \textit{L. V. Barbulyak}, Teor. Ĭmovirn. Mat. Stat. 59, 1--9 (1998; Zbl 1024.46012); translation from Teor. Jmorvirn. Mat. Stat. 59, 1--9 (1998)
Kachanovskyj, N. A. Dual Appell-like systems with finite-order spaces in non-Gaussian infinite dimensional analysis. (English) Zbl 0943.46022 Methods Funct. Anal. Topol. 4, No. 2, 41-52 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 46F25 60G20 60H05 60H20 PDFBibTeX XMLCite \textit{N. A. Kachanovskyj}, Methods Funct. Anal. Topol. 4, No. 2, 41--52 (1998; Zbl 0943.46022)
Obata, Nobuaki A note on transformations on white noise functions. Hida’s whiskers revisited. (English) Zbl 0962.46033 RIMS Kokyuroku 1035, 155-169 (1998). Reviewer: V.Karunakaran (Madurai) MSC: 46F25 60G20 47A70 PDFBibTeX XMLCite \textit{N. Obata}, RIMS Kokyuroku 1035, 155--169 (1998; Zbl 0962.46033)
Luo, Shun-Long; Yan, Jia-An Characterization of continuous operators on infinite dimension distribution spaces. (English) Zbl 0929.46032 Rebolledo, Rolando (ed.), Proceedings of the 2nd international workshop on stochastic analysis and mathematical physics, ANESTOC ’96, Viña del Mar, Chile, December 16–20, 1996. Singapore: World Scientific. 120-130 (1998). MSC: 46F25 PDFBibTeX XMLCite \textit{S.-L. Luo} and \textit{J.-A. Yan}, in: Proceedings of the 2nd international workshop on stochastic analysis and mathematical physics, ANESTOC '96, Viña del Mar, Chile, December 16--20, 1996. Singapore: World Scientific. 120--130 (1998; Zbl 0929.46032)
Kondratiev, Yuri G.; Streit, Ludwig; Westerkamp, Werner; Yan, Jia-an Generalized functions in infinite dimensional analysis. (English) Zbl 0929.46031 Hiroshima Math. J. 28, No. 2, 213-260 (1998). Reviewer: P.K.Banerji (Jodhpur) MSC: 46F25 28C20 33C45 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} et al., Hiroshima Math. J. 28, No. 2, 213--260 (1998; Zbl 0929.46031) Full Text: DOI arXiv Link
Lee, Yuh-Jia Convergence of Fock expansion and transformations of Brownian functionals. (English) Zbl 0917.46040 Sunada, Toshikazu (ed.) et al., Functional analysis and global analysis. Proceedings of the conference, Manila, Philippines, October 20–26, 1996. Singapore: Springer. 142-156 (1998). Reviewer: I.Ciorănescu (Rio Piedras) MSC: 46F25 60J65 PDFBibTeX XMLCite \textit{Y.-J. Lee}, in: Functional analysis and global analysis. Proceedings of the conference, Manila, Philippines, October 20--26, 1996. Singapore: Springer. 142--156 (1998; Zbl 0917.46040)
Berezansky, Yurij M. Construction of generalized translation operators from the system of Appell characters. (English) Zbl 0917.46039 Kuchment, Peter (ed.) et al., Voronezh winter mathematical schools. Dedicated to Selim Krein. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 184(37), 7-21 (1998). Reviewer: S.Dierolf (Trier) MSC: 46F25 20N20 PDFBibTeX XMLCite \textit{Y. M. Berezansky}, Transl., Ser. 2, Am. Math. Soc. 184, 7--21 (1998; Zbl 0917.46039)
Chung, Dong Myung; Chung, Tae Su First order differential operators in white noise analysis. (English) Zbl 0896.46030 Proc. Am. Math. Soc. 126, No. 8, 2369-2376 (1998). MSC: 46F25 PDFBibTeX XMLCite \textit{D. M. Chung} and \textit{T. S. Chung}, Proc. Am. Math. Soc. 126, No. 8, 2369--2376 (1998; Zbl 0896.46030) Full Text: DOI
Kachanovskij, N. A. Dual Appell system and Kondratiev spaces in analysis on Schwartz spaces. (Russian) Zbl 0887.46023 Ukr. Mat. Zh. 49, No. 4, 527-534 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 46F25 47G30 28C20 42C15 PDFBibTeX XMLCite \textit{N. A. Kachanovskij}, Ukr. Mat. Zh. 49, No. 4, 527--534 (1997; Zbl 0887.46023) Full Text: DOI
Chang, Kun Soo; Kim, Young Sik; Yoo, Il An \(L_p\) analytic Fourier-Feynman transform on abstract Wiener space. (English) Zbl 0946.46036 Commun. Korean Math. Soc. 12, No. 3, 579-595 (1997). MSC: 46F25 46T12 28C20 43A32 46G12 PDFBibTeX XMLCite \textit{K. S. Chang} et al., Commun. Korean Math. Soc. 12, No. 3, 579--595 (1997; Zbl 0946.46036)
Chersi, Franco; Guarrera, Silvia A Kolmogorov-like extension theorem for distributions with compact supports. (English) Zbl 0952.46027 Ital. J. Pure Appl. Math. 2, 75-82 (1997). Reviewer: Z.Lozanov-Crvenković MSC: 46F25 60B05 PDFBibTeX XMLCite \textit{F. Chersi} and \textit{S. Guarrera}, Ital. J. Pure Appl. Math. 2, 75--82 (1997; Zbl 0952.46027)
Gorbunov, Alexandr Biorthogonal analysis of the Gamma process. (English) Zbl 0940.46021 Theory Stoch. Process. 3(19), No. 1-2, 192-196 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 46F25 60H40 60G57 46F20 60H05 60H15 46T30 PDFBibTeX XMLCite \textit{A. Gorbunov}, Theory Stoch. Process. 3(19), No. 1--2, 192--196 (1997; Zbl 0940.46021)
Berezanskij, Yu. M. Infinite-dimensional analysis related to generalized translation operators. (English. Russian original) Zbl 0951.46017 Ukr. Math. J. 49, No. 3, 403-450 (1997); translation from Ukr. Mat. Zh. 49, No. 3, 364-409 (1997). Reviewer: Hideo Yamagata (Osaka) MSC: 46F25 46G12 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij}, Ukr. Mat. Zh. 49, No. 3, 1 (1997; Zbl 0951.46017); translation from Ukr. Mat. Zh. 49, No. 3, 364--409 (1997) Full Text: DOI
Obata, Nobuaki Generalization of integral kernel operators. (English) Zbl 0933.46031 RIMS Kokyuroku 980, 137-149 (1997). Reviewer: Hideo Yamagata (Osaka) MSC: 46F25 47N50 60G20 81S30 47A70 PDFBibTeX XMLCite \textit{N. Obata}, RIMS Kokyuroku 980, 137--149 (1997; Zbl 0933.46031)
Kachanovskij, N. A. Dual Appell system and Kondrat’ev spaces in analysis on Schwartz spaces. (English. Russian original) Zbl 0932.46034 Ukr. Math. J. 49, No. 4, 581-589 (1997); translation from Ukr. Mat. Zh. 49, No. 4, 527-534 (1997). MSC: 46F25 47G30 28C20 42C15 PDFBibTeX XMLCite \textit{N. A. Kachanovskij}, Ukr. Mat. Zh. 49, No. 4, 527--534 (1997; Zbl 0932.46034); translation from Ukr. Mat. Zh. 49, No. 4, 527--534 (1997) Full Text: DOI
Obata, Nobuaki Constructing one-parameter transformations on white noise functions in terms of equicontinuous generators. (English) Zbl 0909.46041 Monatsh. Math. 124, No. 4, 317-335 (1997). MSC: 46F25 47D06 47D03 35R15 47B38 60H99 PDFBibTeX XMLCite \textit{N. Obata}, Monatsh. Math. 124, No. 4, 317--335 (1997; Zbl 0909.46041) Full Text: DOI EuDML
Chung, Dong Myung; Chung, Tae Su; Ji, Un Cig A simple proof of analytic characterization theorem for operator symbols. (English) Zbl 0907.46037 Bull. Korean Math. Soc. 34, No. 3, 421-436 (1997). MSC: 46F25 60J65 PDFBibTeX XMLCite \textit{D. M. Chung} et al., Bull. Korean Math. Soc. 34, No. 3, 421--436 (1997; Zbl 0907.46037)
Obata, Nobuaki Integral kernel operators on Fock space. – Generalizations and applications to quantum dynamics. (English) Zbl 0901.46033 Acta Appl. Math. 47, No. 1, 49-77 (1997). MSC: 46F25 60H05 46A32 47B38 81S25 46G12 PDFBibTeX XMLCite \textit{N. Obata}, Acta Appl. Math. 47, No. 1, 49--77 (1997; Zbl 0901.46033) Full Text: DOI
Chung, Dong Myung; Chung, Tae Su Wick derivations on white noise functionals. (English) Zbl 0891.46020 J. Korean Math. Soc. 33, No. 4, 993-1008 (1996). Reviewer: P.P.Teodorescu (Bucureşti) MSC: 46F25 PDFBibTeX XMLCite \textit{D. M. Chung} and \textit{T. S. Chung}, J. Korean Math. Soc. 33, No. 4, 993--1008 (1996; Zbl 0891.46020)
Lee, Jung-Soon Kim Heat equation in white noise analysis. (English) Zbl 0870.46024 J. Korean Math. Soc. 33, No. 3, 541-555 (1996). Reviewer: I.Dôku (Urawa) MSC: 46F25 60G20 35K05 PDFBibTeX XMLCite \textit{J.-S. K. Lee}, J. Korean Math. Soc. 33, No. 3, 541--555 (1996; Zbl 0870.46024)
Chung, Dong Myung; Ji, Un Cig Cauchy problems for a partial differential equation in white noise analysis. (English) Zbl 0891.46021 J. Korean Math. Soc. 33, No. 2, 309-318 (1996). Reviewer: P.P.Teodorescu (Bucureşti) MSC: 46F25 35R15 PDFBibTeX XMLCite \textit{D. M. Chung} and \textit{U. C. Ji}, J. Korean Math. Soc. 33, No. 2, 309--318 (1996; Zbl 0891.46021)
Kondratiev, Yuri G.; Leukert, Peter; Streit, Ludwig Wick calculus in Gaussian analysis. (English) Zbl 0861.46027 Acta Appl. Math. 44, No. 3, 269-294 (1996). MSC: 46F25 60H99 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} et al., Acta Appl. Math. 44, No. 3, 269--294 (1996; Zbl 0861.46027)
Lee, Kyoung Sim Gel’fand triples associated with finite dimensional Gaussian measure. (English) Zbl 0858.46034 Soochow J. Math. 22, No. 1, 1-16 (1996). MSC: 46F25 46F10 42B10 47A70 PDFBibTeX XMLCite \textit{K. S. Lee}, Soochow J. Math. 22, No. 1, 1--16 (1996; Zbl 0858.46034)
Kang, Soon-Ja A Poisson equation associated with an integral kernel operator. (English) Zbl 0947.46030 Commun. Korean Math. Soc. 11, No. 2, 367-375 (1996). MSC: 46F25 47B34 35R15 46G12 PDFBibTeX XMLCite \textit{S.-J. Kang}, Commun. Korean Math. Soc. 11, No. 2, 367--375 (1996; Zbl 0947.46030)
Saitô, Kimiaki Transformations approximating a group generated by the Lévy Laplacian. (English) Zbl 0904.46029 RIMS Kokyuroku 957, 214-224 (1996). Reviewer: G.Loupias (Montpellier) MSC: 46F25 81S25 46G05 46G12 60K40 PDFBibTeX XMLCite \textit{K. Saitô}, RIMS Kokyuroku 957, 214--224 (1996; Zbl 0904.46029)
Accardi, Luigi; Smolyanov, O. G.; Smolyanova, M. O. Change of variable formulas for infinite-dimensional distributions. (English. Russian original) Zbl 0898.46043 Math. Notes 60, No. 2, 212-215 (1996); translation from Mat. Zametki 60, No. 2, 288-292 (1996). MSC: 46F25 46G12 46F10 28C20 PDFBibTeX XMLCite \textit{L. Accardi} et al., Math. Notes 60, No. 2, 212--215 (1996; Zbl 0898.46043); translation from Mat. Zametki 60, No. 2, 288--292 (1996) Full Text: DOI
Obata, Nobuaki Generalized quantum stochastic processes on Fock space. (English) Zbl 0891.46022 Publ. Res. Inst. Math. Sci. 31, No. 4, 667-702 (1995). Reviewer: P.P.Teodorescu (Bucureşti) MSC: 46F25 81S25 47B38 PDFBibTeX XMLCite \textit{N. Obata}, Publ. Res. Inst. Math. Sci. 31, No. 4, 667--702 (1995; Zbl 0891.46022) Full Text: DOI
Obata, Nobuaki Derivations on white noise functionals. (English) Zbl 0841.46030 Nagoya Math. J. 139, 21-36 (1995). Reviewer: N.Obata (Nagoya) MSC: 46F25 47B38 46G05 47A70 60H99 PDFBibTeX XMLCite \textit{N. Obata}, Nagoya Math. J. 139, 21--36 (1995; Zbl 0841.46030) Full Text: DOI
Potthoff, Jürgen; Timpel, Matthias On a dual pair of spaces of smooth and generalized random variables. (English) Zbl 0839.46035 Potential Anal. 4, No. 6, 637-654 (1995). MSC: 46F25 46A13 46E50 60H05 60H07 60H30 PDFBibTeX XMLCite \textit{J. Potthoff} and \textit{M. Timpel}, Potential Anal. 4, No. 6, 637--654 (1995; Zbl 0839.46035) Full Text: DOI
Donnelly, Rod On the non-nuclearity of a space of test functions on Hilbert space. (English) Zbl 0831.46042 J. Funct. Anal. 128, No. 2, 307-314 (1995). MSC: 46F25 46F05 46A11 PDFBibTeX XMLCite \textit{R. Donnelly}, J. Funct. Anal. 128, No. 2, 307--314 (1995; Zbl 0831.46042) Full Text: DOI
Kubo, Izumi; Kuo, Hui-Hsiung Finite dimensional Hida distributions. (English) Zbl 0892.46045 J. Funct. Anal. 128, No. 1, 1-47 (1995). Reviewer: T.Ichinose (Kanazawa) MSC: 46F25 46G12 28C20 60G20 60B11 47A70 PDFBibTeX XMLCite \textit{I. Kubo} and \textit{H.-H. Kuo}, J. Funct. Anal. 128, No. 1, 1--47 (1995; Zbl 0892.46045) Full Text: DOI
Ahmed, N. U. Generalized functionals of Gaussian random fields and evolutions there on. (English) Zbl 0820.46042 Dyn. Syst. Appl. 4, No. 1, 27-46 (1995). Reviewer: D.B.Gauld (Auckland) MSC: 46F25 58D25 60H07 34G10 81Q10 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Dyn. Syst. Appl. 4, No. 1, 27--46 (1995; Zbl 0820.46042)
Kubo, Izumi; Kuo, Hui-Hsiung Simple proof of Hida distribution characterization theorem. (English) Zbl 0971.46029 Skorokhod, A. V. (ed.) et al., Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 243-250 (1995). Reviewer: V.Karunakaran (Madurai) MSC: 46F25 PDFBibTeX XMLCite \textit{I. Kubo} and \textit{H.-H. Kuo}, in: Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 243--250 (1995; Zbl 0971.46029)
Kuo, Hui-Hsiung Analysis of white noise functionals. (English) Zbl 0830.46036 Soochow J. Math. 20, No. 4, 419-464 (1994). Reviewer: J.N.Pandey (Ottawa) MSC: 46F25 60J65 60H10 60G20 PDFBibTeX XMLCite \textit{H.-H. Kuo}, Soochow J. Math. 20, No. 4, 419--464 (1994; Zbl 0830.46036)
Ahmed, N. U. Generalized functionals of Brownian motion. (English) Zbl 0820.46041 J. Appl. Math. Stochastic Anal. 7, No. 3, 247-267 (1994). MSC: 46F25 60G20 60H15 60H07 46G12 PDFBibTeX XMLCite \textit{N. U. Ahmed}, J. Appl. Math. Stochastic Anal. 7, No. 3, 247--267 (1994; Zbl 0820.46041) Full Text: DOI EuDML
Bojdecki, T.; Gorostiza, L. G. A nuclear space of distributions on Wiener space and application to weak convergence. (English) Zbl 0820.46043 Kunita, Hiroshi (ed.) et al., Stochastic analysis on infinite dimensional spaces. Proceedings of the U.S.-Japan bilateral seminar, January 4-8, 1994, Baton Rouge, LA, USA. Harlow, Essex: Longman Scientific Technical. Pitman Res. Notes Math. Ser. 310, 12-25 (1994). Reviewer: F.Selig (Bronxville) MSC: 46F25 60B10 46A11 47A70 60G20 PDFBibTeX XMLCite \textit{T. Bojdecki} and \textit{L. G. Gorostiza}, Pitman Res. Notes Math. Ser. 310, 12--25 (1994; Zbl 0820.46043)
Saitô, Kimiaki A group generated by the Lévy Laplacian. (English) Zbl 0939.46501 RIMS Kokyuroku 874, 192-201 (1994). MSC: 46F25 35R15 46G05 60G20 PDFBibTeX XMLCite \textit{K. Saitô}, RIMS Kokyuroku 874, 192--201 (1994; Zbl 0939.46501)
Yokoi, Yoshitaka Simple setting for white noise calculus using Bargmann space. (English) Zbl 0939.46502 RIMS Kokyuroku 874, 202-223 (1994). MSC: 46F25 46G12 47N30 60H99 PDFBibTeX XMLCite \textit{Y. Yokoi}, RIMS Kokyuroku 874, 202--223 (1994; Zbl 0939.46502)
Obata, Nobuaki On vector-valued white noise functionals. (English) Zbl 0939.46503 RIMS Kokyuroku 885, 120-138 (1994). MSC: 46F25 46G12 46N30 60G20 81T08 PDFBibTeX XMLCite \textit{N. Obata}, RIMS Kokyuroku 885, 120--138 (1994; Zbl 0939.46503)
Obata, Nobuaki An analytic characterization of symbols of operators on white noise functionals. (English) Zbl 0785.46042 J. Math. Soc. Japan 45, No. 3, 421-445 (1993). Reviewer: N.Obata (Nagoya) MSC: 46F25 46G20 60H99 81T99 60J65 81S20 PDFBibTeX XMLCite \textit{N. Obata}, J. Math. Soc. Japan 45, No. 3, 421--445 (1993; Zbl 0785.46042) Full Text: DOI
Feyel, Denis; de la Pradelle, Arnaud Harmonic analysis in infinite dimension. (English) Zbl 0795.46029 Potential Anal. 2, No. 1, 23-36 (1993). Reviewer: F.Selig (Bronxville) MSC: 46F25 28C20 13C15 44A10 43A99 46F05 46E25 PDFBibTeX XMLCite \textit{D. Feyel} and \textit{A. de la Pradelle}, Potential Anal. 2, No. 1, 23--36 (1993; Zbl 0795.46029) Full Text: DOI
Obata, Nobuaki White noise delta functions and continuous version theorem. (English) Zbl 0766.46033 Nagoya Math. J. 129, 1-22 (1993). Reviewer: N.Obata MSC: 46F25 46G12 60J65 60H99 PDFBibTeX XMLCite \textit{N. Obata}, Nagoya Math. J. 129, 1--22 (1993; Zbl 0766.46033) Full Text: DOI
Arai, Asao; Mitoma, Itaru Comparison and nuclearity of spaces of differential forms on topological vector spaces. (English) Zbl 0788.46049 J. Funct. Anal. 111, No. 2, 278-294 (1993). Reviewer: A.Kufner (Praha) MSC: 46F25 46A11 58A10 46E35 46M05 PDFBibTeX XMLCite \textit{A. Arai} and \textit{I. Mitoma}, J. Funct. Anal. 111, No. 2, 278--294 (1993; Zbl 0788.46049) Full Text: DOI Link
Kallianpur, Gopinath; Mitoma, Itaru A Segal-Langevin type stochastic differential equation on a space of generalized functionals. (English) Zbl 0764.46040 Can. J. Math. 44, No. 3, 524-552 (1992). Reviewer: J.Schmeelk (Richmond) MSC: 46F25 60H15 60F05 35G10 35K25 PDFBibTeX XMLCite \textit{G. Kallianpur} and \textit{I. Mitoma}, Can. J. Math. 44, No. 3, 524--552 (1992; Zbl 0764.46040) Full Text: DOI
Obata, Nobuaki Rotation-invariant operators on white noise functionals. (English) Zbl 0735.46031 Math. Z. 210, No. 1, 69-90 (1992). Reviewer: N.Obata (Nagoya) MSC: 46F25 46G12 81T17 46N50 PDFBibTeX XMLCite \textit{N. Obata}, Math. Z. 210, No. 1, 69--90 (1992; Zbl 0735.46031) Full Text: DOI EuDML
Khrennikov, A. Yu. Generalized functions on infinite-dimensional spaces of sources. (English. Russian original) Zbl 0786.46042 Sov. Phys., Dokl. 37, No. 2, 73-76 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 322, No. 4, 692-696 (1992). Reviewer: I.Ciorănescu (Rio Piedras) MSC: 46F25 46N50 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov}, Sov. Phys., Dokl. 37, No. 2, 73--76 (1992; Zbl 0786.46042); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 322, No. 4, 692--696 (1992)
Hida, Takeyuki; Obata, Nobuaki; Saitô, Kimiaki Infinite dimensional rotations and Laplacians in terms of white noise calculus. (English) Zbl 0766.46032 Nagoya Math. J. 128, 65-93 (1992). Reviewer: N.Obata MSC: 46F25 22E65 46G12 47A70 47F05 28C20 60H99 60J65 PDFBibTeX XMLCite \textit{T. Hida} et al., Nagoya Math. J. 128, 65--93 (1992; Zbl 0766.46032) Full Text: DOI