Kachanovsky, N. A. Wick multiplication and its relationship with integration and stochastic differentiation on spaces of nonregular test functions in the Lévy white noise analysis. (English) Zbl 07898618 Carpathian Math. Publ. 16, No. 1, 61-83 (2024). MSC: 60H40 46F05 46F25 60G51 60H05 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Carpathian Math. Publ. 16, No. 1, 61--83 (2024; Zbl 07898618) Full Text: DOI OA License
Ayadi, Mohamed; Riahi, Anis; Rhaima, Mohamed; Ghoudi, Hamza Fractional gamma noise functionals. (English) Zbl 07852105 Complex Anal. Oper. Theory 18, No. 4, Paper No. 92, 22 p. (2024). MSC: 11C08 26C05 42C05 46F25 60G22 33E12 PDFBibTeX XMLCite \textit{M. Ayadi} et al., Complex Anal. Oper. Theory 18, No. 4, Paper No. 92, 22 p. (2024; Zbl 07852105) Full Text: DOI
Ettaieb, Aymen; Missaoui, Sonia; Rguigui, Hafedh Quantum fractional Ornstein-Uhlenbeck semigroups and associated potentials. (English) Zbl 1536.35354 Rocky Mt. J. Math. 54, No. 1, 121-136 (2024). MSC: 35R11 46F25 46G20 46L67 60H40 60G22 PDFBibTeX XMLCite \textit{A. Ettaieb} et al., Rocky Mt. J. Math. 54, No. 1, 121--136 (2024; Zbl 1536.35354) Full Text: DOI Link
Rguigui, Hafedh Stochastic Bernoulli equation on the algebra of generalized functions. (English) Zbl 07786486 Ukr. Math. J. 75, No. 8, 1242-1254 (2024) and Ukr. Mat. Zh. 75, No. 8, 1085-1095 (2023). MSC: 60H40 46E10 46F25 PDFBibTeX XMLCite \textit{H. Rguigui}, Ukr. Math. J. 75, No. 8, 1242--1254 (2024; Zbl 07786486) Full Text: DOI
Grothaus, Martin; da Silva, Jose Luis; Suryawan, Herry Pribawanto Stochastic Currents of Fractional Brownian Motion. arXiv:2408.10936 Preprint, arXiv:2408.10936 [math.PR] (2024). MSC: 60H40 60J65 60G22 46F25 BibTeX Cite \textit{M. Grothaus} et al., ``Stochastic Currents of Fractional Brownian Motion'', Preprint, arXiv:2408.10936 [math.PR] (2024) Full Text: arXiv OA License
Amaonyeiro, A. U.; Egwe, M. E. On Tempered Ultradistributions in Classical Sobolev Spaces. arXiv:2406.16912 Preprint, arXiv:2406.16912 [math.FA] (2024). MSC: 46F10 46E10 46F05 46F20 46F25 BibTeX Cite \textit{A. U. Amaonyeiro} and \textit{M. E. Egwe}, ``On Tempered Ultradistributions in Classical Sobolev Spaces'', Preprint, arXiv:2406.16912 [math.FA] (2024) Full Text: arXiv OA License
Ji, Un Cig; Lee, Mi Ra Shifted generalized Mehler semigroups on white noise functionals. (English) Zbl 07855503 Probab. Math. Stat. 43, No. 2, 185-205 (2023). MSC: 47D06 60H40 46F25 PDFBibTeX XMLCite \textit{U. C. Ji} and \textit{M. R. Lee}, Probab. Math. Stat. 43, No. 2, 185--205 (2023; Zbl 07855503) Full Text: DOI
Bendong, Jerome B.; Menchavez, Sheila M.; da Silva, José Luís A biorthogonal approach to the infinite dimensional fractional Poisson measure. (English) Zbl 07788065 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 4, Article ID 2350015, 39 p. (2023). MSC: 46G12 28C20 46F25 60B11 PDFBibTeX XMLCite \textit{J. B. Bendong} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 4, Article ID 2350015, 39 p. (2023; Zbl 07788065) Full Text: DOI arXiv
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
Riahi, Anis A chaotic decomposition for the fractional Lebesgue-Pascal noise space. (English) Zbl 1515.60256 Random Oper. Stoch. Equ. 31, No. 2, 177-183 (2023). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Riahi}, Random Oper. Stoch. Equ. 31, No. 2, 177--183 (2023; Zbl 1515.60256) Full Text: DOI
Bock, Wolfgang; Grothaus, Martin; Orge, Karlo Stochastic analysis for vector-valued generalized grey Brownian motion. (English) Zbl 1511.60064 Theory Probab. Math. Stat. 108, 1-27 (2023). MSC: 60G22 60G20 46F25 46F12 33E12 60H10 PDFBibTeX XMLCite \textit{W. Bock} et al., Theory Probab. Math. Stat. 108, 1--27 (2023; Zbl 1511.60064) Full Text: DOI arXiv Link
Grothaus, Martin; Suryawan, Herry Pribawanto; Da Silva, José Luís A white noise approach to stochastic currents of Brownian motion. (English) Zbl 1523.60121 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 1, Article ID 2250025, 10 p. (2023). MSC: 60H40 60J65 46F25 PDFBibTeX XMLCite \textit{M. Grothaus} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 1, Article ID 2250025, 10 p. (2023; Zbl 1523.60121) Full Text: DOI arXiv
Hazarika, Parthapratim Saha Bipan; Kalita, Hemanta Non-absolute integrable function spaces on metric measure spaces. arXiv:2311.05637 Preprint, arXiv:2311.05637 [math.FA] (2023). MSC: 46B25 46E35 46E36 46F25 BibTeX Cite \textit{P. S. B. Hazarika} and \textit{H. Kalita}, ``Non-absolute integrable function spaces on metric measure spaces'', Preprint, arXiv:2311.05637 [math.FA] (2023) Full Text: arXiv OA License
Kachanovsky, N. A. On Wick calculus and its relationship with stochastic integration on spaces of regular test functions in the Lévy white noise analysis. (English) Zbl 1502.60086 Carpathian Math. Publ. 14, No. 1, 194-212 (2022). MSC: 60H05 60H40 46F05 46F25 60G51 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Carpathian Math. Publ. 14, No. 1, 194--212 (2022; Zbl 1502.60086) Full Text: DOI OA License
Chang, Yun-Ching; Shih, Hsin-Hung Analysis of space-dependent noise functionals with an application to linearly correlated processes. (English) Zbl 1498.60296 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 3, Article ID 2250011, 41 p. (2022). MSC: 60H40 46F25 60G50 60G51 PDFBibTeX XMLCite \textit{Y.-C. Chang} and \textit{H.-H. Shih}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 3, Article ID 2250011, 41 p. (2022; Zbl 1498.60296) Full Text: DOI
Çapar, Uluğ Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. (English) Zbl 1514.46032 Monatsh. Math. 199, No. 4, 755-770 (2022). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 46F25 46T12 60H40 PDFBibTeX XMLCite \textit{U. Çapar}, Monatsh. Math. 199, No. 4, 755--770 (2022; Zbl 1514.46032) Full Text: DOI
Alpay, Daniel; Cerejeiras, Paula; Kähler, Uwe Generalized white noise analysis and topological algebras. (English) Zbl 1498.60294 Stochastics 94, No. 6, 926-958 (2022). MSC: 60H40 60G15 46F25 PDFBibTeX XMLCite \textit{D. Alpay} et al., Stochastics 94, No. 6, 926--958 (2022; Zbl 1498.60294) Full Text: DOI
Benth, Fred Espen; Galimberti, Luca Stochastic integrals and Gelfand integration in Fréchet spaces. (English) Zbl 1494.60057 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 2, Article ID 2250007, 35 p. (2022). MSC: 60H05 60H15 46F25 60H07 PDFBibTeX XMLCite \textit{F. E. Benth} and \textit{L. Galimberti}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 2, Article ID 2250007, 35 p. (2022; Zbl 1494.60057) Full Text: DOI arXiv
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
Ji, Un Cig; Ma, Peng Cheng Wick calculus for vector-valued Gaussian white noise functionals. (English) Zbl 1484.60074 Probab. Math. Stat. 41, No. 2, 283-302 (2021). MSC: 60H40 46F25 46A11 PDFBibTeX XMLCite \textit{U. C. Ji} and \textit{P. C. Ma}, Probab. Math. Stat. 41, No. 2, 283--302 (2021; Zbl 1484.60074) 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
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh Quantum white noise stochastic analysis based on nuclear algebras of entire functions. (English) Zbl 1462.81118 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 599-623 (2021). MSC: 81S25 60H40 46A32 46G20 46F25 PDFBibTeX XMLCite \textit{A. Ettaieb} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 599--623 (2021; Zbl 1462.81118) Full Text: DOI
Ji, Un Cig; Ma, Peng Cheng White noise differential equations for vector-valued white noise functionals. (English) Zbl 1476.60111 Banach J. Math. Anal. 15, No. 1, Paper No. 3, 26 p. (2021). Reviewer: Dora Seleši (Novi Sad) MSC: 60H40 60H20 46F25 PDFBibTeX XMLCite \textit{U. C. Ji} and \textit{P. C. Ma}, Banach J. Math. Anal. 15, No. 1, Paper No. 3, 26 p. (2021; Zbl 1476.60111) Full Text: DOI
Accardi, Luigi; Hasegawa, Ai; Ji, Un Cig; Saitô, Kimiaki White noise delta functions and infinite-dimensional Laplacians. (English) Zbl 1461.60060 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050028, 21 p. (2020). MSC: 60H40 46G12 46F25 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050028, 21 p. (2020; Zbl 1461.60060) 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
Horrigue, Samah \(\gamma\)-quantum product of white noise operators and applications. (English) Zbl 1445.60051 Indag. Math., New Ser. 31, No. 3, 375-388 (2020). MSC: 60H40 60J65 46F25 81S25 PDFBibTeX XMLCite \textit{S. Horrigue}, Indag. Math., New Ser. 31, No. 3, 375--388 (2020; Zbl 1445.60051) Full Text: DOI
Sharyn, S. Algebraic and differential properties of polynomial Fourier transformation. (English) Zbl 1452.46032 Mat. Stud. 53, No. 1, 59-68 (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F12 46F05 46F25 46E50 PDFBibTeX XMLCite \textit{S. Sharyn}, Mat. Stud. 53, No. 1, 59--68 (2020; Zbl 1452.46032) Full Text: DOI
Frei, Maria M.; Kachanovsky, Nikolai A. On the relationship between Wick calculus and stochastic integration in the Lévy white noise analysis. (English) Zbl 07189620 Eur. J. Math. 6, No. 1, 179-196 (2020). MSC: 60H05 60H40 46F25 60G51 PDFBibTeX XMLCite \textit{M. M. Frei} and \textit{N. A. Kachanovsky}, Eur. J. Math. 6, No. 1, 179--196 (2020; Zbl 07189620) Full Text: DOI
Hazarika, Bipan; Kalita, Hemanta HK-Sobolev space \(W{S^{k,p}}\) on \(\mathbb{R}^\infty\) and Bessel Potential. arXiv:2003.07210 Preprint, arXiv:2003.07210 [math.FA] (2020). MSC: 26A39 46B25 46E35 46E39 46F25 BibTeX Cite \textit{B. Hazarika} and \textit{H. Kalita}, ``HK-Sobolev space $W{S^{k,p}}$ on $\mathbb{R}^\infty$ and Bessel Potential'', Preprint, arXiv:2003.07210 [math.FA] (2020) Full Text: arXiv OA License
Boccuto, Antonio; Hazarika, Bipan; Kalita, Hemanta Kuelbs-Steadman spaces for Banach space-valued measures. arXiv:2007.00209 Preprint, arXiv:2007.00209 [math.FA] (2020). MSC: 26A39 46B25 46E35 46E39 46F25 BibTeX Cite \textit{A. Boccuto} et al., ``Kuelbs-Steadman spaces for Banach space-valued measures'', Preprint, arXiv:2007.00209 [math.FA] (2020) Full Text: DOI arXiv OA License
Alpay, Daniel; Cerejeiras, Paula; Kaehler, Uwe Generalized Fock space and moments. arXiv:2005.08085 Preprint, arXiv:2005.08085 [math.PR] (2020). MSC: 60H40 60G22 33E12 46F25 BibTeX Cite \textit{D. Alpay} et al., ``Generalized Fock space and moments'', Preprint, arXiv:2005.08085 [math.PR] (2020) Full Text: arXiv OA License
Dello Schiavo, Lorenzo Characteristic functionals of Dirichlet measures. (English) Zbl 1479.60037 Electron. J. Probab. 24, Paper No. 115, 38 p. (2019). MSC: 60E10 60G57 62E10 46F25 33C65 33C67 PDFBibTeX XMLCite \textit{L. Dello Schiavo}, Electron. J. Probab. 24, Paper No. 115, 38 p. (2019; Zbl 1479.60037) Full Text: DOI arXiv Euclid
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki Characterization of \(S\)-transform for general construction of infinite-dimensional distributions. (English) Zbl 1488.60174 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 2, Article ID 1950015, 19 p. (2019). MSC: 60H40 46F25 46G12 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 2, Article ID 1950015, 19 p. (2019; Zbl 1488.60174) Full Text: DOI
Ghanmi, Abdeljabbar; Horrigue, Samah Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative. (English) Zbl 1447.60101 Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 80, 13 p. (2019). MSC: 60H15 46F25 60H05 46G20 PDFBibTeX XMLCite \textit{A. Ghanmi} and \textit{S. Horrigue}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 80, 13 p. (2019; Zbl 1447.60101) 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
Suryawan, Herry Pribawanto Derivative of the Donsker delta functionals. (English) Zbl 1474.28022 Math. Bohem. 144, No. 2, 161-176 (2019). MSC: 28C20 46F25 60G20 60H40 PDFBibTeX XMLCite \textit{H. P. Suryawan}, Math. Bohem. 144, No. 2, 161--176 (2019; Zbl 1474.28022) Full Text: DOI
Suryawan, Herry Pribawanto Existence and regularization of the local times of a Gaussian process. (English) Zbl 1488.60190 Hacet. J. Math. Stat. 47, No. 5, 1206-1215 (2018). MSC: 60J55 60H40 60G15 28C20 46F25 PDFBibTeX XMLCite \textit{H. P. Suryawan}, Hacet. J. Math. Stat. 47, No. 5, 1206--1215 (2018; Zbl 1488.60190) Full Text: Link
Grothaus, Martin; Vosshall, Robert Integration by parts on the law of the modulus of the Brownian bridge. (English) Zbl 1426.60063 Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 3, 335-363 (2018). MSC: 60H07 60H40 46F25 31C25 PDFBibTeX XMLCite \textit{M. Grothaus} and \textit{R. Vosshall}, Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 3, 335--363 (2018; Zbl 1426.60063) Full Text: DOI arXiv
Mohameden, Hammah; Ouerdiane, Habib Feynman integrals for a new class of time-dependent exponentially growing potentials. (English) Zbl 1404.81109 Khrennikov, Andrei (ed.) et al., Quantum foundations, probability and information. Cham: Springer (ISBN 978-3-319-74970-9/hbk; 978-3-319-74971-6/ebook). STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, 169-196 (2018). MSC: 81Q30 81S40 60H40 46G20 46F25 PDFBibTeX XMLCite \textit{H. Mohameden} and \textit{H. Ouerdiane}, in: Quantum foundations, probability and information. Cham: Springer. 169--196 (2018; Zbl 1404.81109) Full Text: DOI
Ge, Zhaoqiang Generalized distribution semi-groups and distributional solution of degenerate evolution equations. (Chinese. English summary) Zbl 1424.47107 Acta Math. Sin., Chin. Ser. 61, No. 1, 79-88 (2018). MSC: 47D06 46F25 34G10 PDFBibTeX XMLCite \textit{Z. Ge}, Acta Math. Sin., Chin. Ser. 61, No. 1, 79--88 (2018; Zbl 1424.47107)
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
Frei, M. M. Wick calculus on spaces of regular generalized functions of Lévy white noise analysis. (English) Zbl 1409.60104 Carpathian Math. Publ. 10, No. 1, 82-104 (2018). MSC: 60H40 46F10 46F25 60G51 60H05 PDFBibTeX XMLCite \textit{M. M. Frei}, Carpathian Math. Publ. 10, No. 1, 82--104 (2018; Zbl 1409.60104) 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
Barhoumi, Abdessatar; Ammou, Bilel Kacem Ben; Rguigui, Hafedh Infinite degrees of freedom Weyl representation: characterization and application. (English) Zbl 1388.60119 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 1, Article ID 1850002, 23 p. (2018). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 1, Article ID 1850002, 23 p. (2018; Zbl 1388.60119) Full Text: DOI
von Waldenfels, Wihelm Results on the Spectral Schwartz Distribution. arXiv:1807.02618 Preprint, arXiv:1807.02618 [math.FA] (2018). MSC: 17A10 46F20 46F25 BibTeX Cite \textit{W. von Waldenfels}, ``Results on the Spectral Schwartz Distribution'', Preprint, arXiv:1807.02618 [math.FA] (2018) Full Text: arXiv OA License
Kostić, Marko; Pilipović, Stevan; Velinov, Daniel Degenerate \(C\)-ultradistribution semigroups in locally convex spaces. (English) Zbl 1474.47080 Bull., Cl. Sci. Math. Nat., Sci. Math. 42, 53-67 (2017). MSC: 47D60 46F25 PDFBibTeX XMLCite \textit{M. Kostić} et al., Bull., Cl. Sci. Math. Nat., Sci. Math. 42, 53--67 (2017; Zbl 1474.47080) Full Text: arXiv Link
Barhoumi, Abdessatar; Rguigui, Hafedh Euler’s theorem for homogeneous white noise operators. (English) Zbl 1413.60064 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 12, 18 p. (2017). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} and \textit{H. Rguigui}, Math. Phys. Anal. Geom. 20, No. 2, Paper No. 12, 18 p. (2017; Zbl 1413.60064) Full Text: DOI
Frei, M. M.; Kachanovsky, N. A. Some remarks on operators of stochastic differentiation in the Lévy white noise analysis. (English) Zbl 1399.60122 Methods Funct. Anal. Topol. 23, No. 4, 320-345 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60H40 60H05 60G51 46F25 60H25 PDFBibTeX XMLCite \textit{M. M. Frei} and \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 23, No. 4, 320--345 (2017; Zbl 1399.60122) Full Text: Link
Melnikova, Irina V. Generalized solutions to stochastic problems as regularized in a broad sense. (English) Zbl 1425.60056 Dang, Pei (ed.) et al., New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer. Trends Math., 51-57 (2017). Reviewer: Heinrich Hering (Rockenberg) MSC: 60H10 47D06 46F12 46F25 60G20 PDFBibTeX XMLCite \textit{I. V. Melnikova}, in: New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3--8, 2015. Basel: Birkhäuser/Springer. 51--57 (2017; Zbl 1425.60056) 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
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki Analytic characterizations of infinite dimensional distributions. (English) Zbl 1366.60092 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750007, 13 p. (2017). MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750007, 13 p. (2017; Zbl 1366.60092) Full Text: DOI
Rguigui, Hafedh Wick differential and Poisson equations associated to the QWN-Euler operator acting on generalized operators. (English) Zbl 1399.60117 Math. Slovaca 66, No. 6, 1487-1500 (2016). MSC: 60H25 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{H. Rguigui}, Math. Slovaca 66, No. 6, 1487--1500 (2016; Zbl 1399.60117) Full Text: DOI
Sharyn, S. V. Application of the functional calculus to solving of infinite dimensional heat equation. (English) Zbl 1372.35351 Carpathian Math. Publ. 8, No. 2, 313-322 (2016). MSC: 35R15 46F05 46F25 46H30 46G20 60H40 PDFBibTeX XMLCite \textit{S. V. Sharyn}, Carpathian Math. Publ. 8, No. 2, 313--322 (2016; Zbl 1372.35351) Full Text: DOI OA License
Othman, H. A. The \(q\)-Gamma white noise. (English) Zbl 1397.60095 Tatra Mt. Math. Publ. 66, 81-90 (2016). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{H. A. Othman}, Tatra Mt. Math. Publ. 66, 81--90 (2016; Zbl 1397.60095) Full Text: DOI
Ettaieb, Aymen; Khalifa, Narjess Turki; Ouerdiane, Habib; Rguigui, Hafedh Higher powers of analytical operators and associated \(\ast\)-Lie algebras. (English) Zbl 1342.60117 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 2, Article ID 1650013, 20 p. (2016). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Ettaieb} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 2, Article ID 1650013, 20 p. (2016; Zbl 1342.60117) Full Text: DOI
Kachanovsky, N. A. Operators of stochastic differentiation on spaces of nonregular generalized functions of Lévy white noise analysis. (English) Zbl 1343.60100 Carpathian Math. Publ. 8, No. 1, 83-106 (2016). MSC: 60H40 60G51 60H05 46F05 46F25 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Carpathian Math. Publ. 8, No. 1, 83--106 (2016; Zbl 1343.60100) Full Text: DOI OA License
Bovkun, Vadim Andreevich Generalized solutions for stochastic problems in the Ito form in Gelfand-Shilov spaces. (Russian. English summary) Zbl 1344.47056 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 8, No. 2, 5-13 (2016). MSC: 47N30 47D06 46F25 34K30 60H10 34F05 47A52 PDFBibTeX XMLCite \textit{V. A. Bovkun}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 8, No. 2, 5--13 (2016; Zbl 1344.47056) Full Text: DOI MNR OA License
Horrigue, Samah; Ouerdiane, Habib; Salhi, Imen Generalized fraction evolution equations with fractional Gross Laplacian. (English) Zbl 1351.60081 Fract. Calc. Appl. Anal. 19, No. 2, 394-407 (2016). MSC: 60H15 35R11 35R60 26A33 60H05 46F25 46G20 PDFBibTeX XMLCite \textit{S. Horrigue} et al., Fract. Calc. Appl. Anal. 19, No. 2, 394--407 (2016; Zbl 1351.60081) 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
Melnikova, Irina V.; Alekseeva, Uliana Generalized solutions to stochastic systems in Gelfand-Shilov spaces. (English) Zbl 1461.60050 Novi Sad J. Math. 45, No. 2, 215-227 (2015). MSC: 60H15 34F05 34G10 35R60 46F25 47D06 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{U. Alekseeva}, Novi Sad J. Math. 45, No. 2, 215--227 (2015; Zbl 1461.60050) Full Text: DOI
Kachanovsky, N. A. Operators of stochastic differentiation on spaces of nonregular test functions of Lévy white noise analysis. (English) Zbl 1363.60095 Methods Funct. Anal. Topol. 21, No. 4, 336-360 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60H40 60H05 60G51 46F25 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 21, No. 4, 336--360 (2015; Zbl 1363.60095)
Giordano, Paolo; Wu, Enxin Categorical frameworks for generalized functions. (English) Zbl 1345.46062 Arab. J. Math. 4, No. 4, 301-328 (2015). Reviewer: Deshna Loonker (Jodhpur) MSC: 46T30 46F25 46F30 58D10 58D99 PDFBibTeX XMLCite \textit{P. Giordano} and \textit{E. Wu}, Arab. J. Math. 4, No. 4, 301--328 (2015; Zbl 1345.46062) Full Text: DOI arXiv OA License
Barhoumi, Abdessatar; Ammou, Bilel Kacem Ben; Rguigui, Hafedh Operator theory: quantum white noise approach. (English) Zbl 1328.60164 Quantum Stud. Math. Found. 2, No. 2, 221-241 (2015). MSC: 60H40 47L99 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Quantum Stud. Math. Found. 2, No. 2, 221--241 (2015; Zbl 1328.60164) Full Text: DOI
Rguigui, Hafedh Quantum Ornstein-Uhlenbeck semigroups. (English) Zbl 1319.81060 Quantum Stud. Math. Found. 2, No. 2, 159-175 (2015). MSC: 81S25 46F25 46G20 46A32 60H15 60H40 47D07 46L53 PDFBibTeX XMLCite \textit{H. Rguigui}, Quantum Stud. Math. Found. 2, No. 2, 159--175 (2015; Zbl 1319.81060) Full Text: DOI
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
Suryawan, Herry Pribawanto A white noise approach to the self-intersection local times of a Gaussian process. (English) Zbl 1334.60135 J. Indones. Math. Soc. 20, No. 2, 111-124 (2014). MSC: 60H40 60G15 60J55 28C20 46F25 PDFBibTeX XMLCite \textit{H. P. Suryawan}, J. Indones. Math. Soc. 20, No. 2, 111--124 (2014; Zbl 1334.60135) Full Text: DOI
Alshanskiĭ, M. A. The Itô integral and the Hitsuda-Skorohod integral in the infinite dimensional case. (Russian. English summary) Zbl 1333.60109 Sib. Èlektron. Mat. Izv. 11, 185-199 (2014). MSC: 60H05 60H40 46F25 PDFBibTeX XMLCite \textit{M. A. Alshanskiĭ}, Sib. Èlektron. Mat. Izv. 11, 185--199 (2014; Zbl 1333.60109) Full Text: Link
Dyriv, M. M.; Kachanovsky, N. A. On operators of stochastic differentiation on spaces of regular test and generalized functions of Lévy white noise analysis. (English) Zbl 1327.60111 Carpathian Math. Publ. 6, No. 2, 212-229 (2014). MSC: 60H05 60H40 60G51 46F05 46F25 PDFBibTeX XMLCite \textit{M. M. Dyriv} and \textit{N. A. Kachanovsky}, Carpathian Math. Publ. 6, No. 2, 212--229 (2014; Zbl 1327.60111) Full Text: DOI OA License
Massopust, Peter Exponential splines of complex order. (English) Zbl 1308.41011 Furst, Veronika (ed.) et al., Operator methods in wavelets, tilings, and frames. AMS special session on harmonic analysis of frames, wavelets, and tilings, Boulder, CO, USA, April 13–14, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1040-7/pbk; 978-1-4704-1957-8/ebook). Contemporary Mathematics 626, 87-105 (2014). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 26A33 46F25 PDFBibTeX XMLCite \textit{P. Massopust}, Contemp. Math. 626, 87--105 (2014; Zbl 1308.41011) Full Text: arXiv
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh Quantum white noise convolution operators with application to differential equations. (English) Zbl 1329.60241 Random Oper. Stoch. Equ. 22, No. 4, 195-211 (2014). MSC: 60H40 60H30 46A32 46F25 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Random Oper. Stoch. Equ. 22, No. 4, 195--211 (2014; Zbl 1329.60241) Full Text: DOI
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh Powers of quantum white noise derivatives. (English) Zbl 1309.60075 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450018, 16 p. (2014). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Ettaieb} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450018, 16 p. (2014; Zbl 1309.60075) Full Text: DOI
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)
Pelletier, Fernand; Saffidine, Rebhia Snakes and articulated arms in an Hilbert space. (English. French summary) Zbl 1316.58007 Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 3, 525-557 (2013). Reviewer: Renato G. Bettiol (Philadelphia) MSC: 58B99 46N99 53C17 46F25 58C35 PDFBibTeX XMLCite \textit{F. Pelletier} and \textit{R. Saffidine}, Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 3, 525--557 (2013; Zbl 1316.58007) Full Text: DOI arXiv
Ji, Un Cig; Obata, Nobuaki Calculating normal-ordered forms in Fock space by quantum white noise derivatives. (English) Zbl 1295.60081 Interdiscip. Inf. Sci. 19, No. 2, 201-211 (2013). Reviewer: Adam Skalski (Warszawa) MSC: 60H40 46F25 81S05 PDFBibTeX XMLCite \textit{U. C. Ji} and \textit{N. Obata}, Interdiscip. Inf. Sci. 19, No. 2, 201--211 (2013; Zbl 1295.60081) Full Text: DOI
Vershik, Anatoly M.; Graev, Mark I. Special representations of nilpotent Lie groups and the associated Poisson representations of current groups. (English) Zbl 1298.22006 Mosc. Math. J. 13, No. 2, 345-360 (2013). Reviewer: Vladimir L. Popov (Moskva) MSC: 22E27 22E65 46F25 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{M. I. Graev}, Mosc. Math. J. 13, No. 2, 345--360 (2013; Zbl 1298.22006) Full Text: arXiv Link
Ji, Un Cig; Kim, Young Yi; Park, Yoon Jung Convolutions of generalized white noise functionals. (English) Zbl 1309.60076 Probab. Math. Stat. 33, No. 2, 435-450 (2013). Reviewer: Maria Gordina (Storrs) MSC: 60H40 46F25 42B10 PDFBibTeX XMLCite \textit{U. C. Ji} et al., Probab. Math. Stat. 33, No. 2, 435--450 (2013; Zbl 1309.60076) Full Text: Link
Ji, Un Cig; Kim, Young Yi; Park, Yoon Jung Yeh convolution of white noise functionals. (English) Zbl 1274.60224 J. Appl. Math. Inform. 31, No. 5-6, 825-834 (2013). MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{U. C. Ji} et al., J. Appl. Math. Inform. 31, No. 5--6, 825--834 (2013; Zbl 1274.60224) Full Text: DOI Link
Melnikova, I. V.; Alshanskiy, M. A. Generalized solutions of abstract stochastic problems. (English) Zbl 1279.47069 Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 341-352 (2013). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 47D62 60H40 46F25 34K30 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{M. A. Alshanskiy}, Oper. Theory: Adv. Appl. 231, 341--352 (2013; Zbl 1279.47069) Full Text: DOI
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh Cauchy problem and integral representation associated to the power of the QWN-Euler operator. (English) Zbl 1331.60140 Commun. Stoch. Anal. 6, No. 4, 615-627 (2012). MSC: 60H40 46F25 46G20 PDFBibTeX XMLCite \textit{A. Ettaieb} et al., Commun. Stoch. Anal. 6, No. 4, 615--627 (2012; Zbl 1331.60140)
Ouerdiane, Habib; Rguigui, Hafedh QWN-conservation operator and associated Wick differential equation. (English) Zbl 1331.60146 Commun. Stoch. Anal. 6, No. 3, 437-450 (2012). MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{H. Ouerdiane} and \textit{H. Rguigui}, Commun. Stoch. Anal. 6, No. 3, 437--450 (2012; Zbl 1331.60146)
Bock, W.; Grothaus, M. A white noise approach to phase space Feynman path integrals. (English) Zbl 1285.60071 Theory Probab. Math. Stat. 85, 7-22 (2012); translation from Teor. Jmovirn. Mat. Stat. 85, 7-21 (2011). Reviewer: Dora Seleši (Novi Sad) MSC: 60H40 46F25 81Q30 PDFBibTeX XMLCite \textit{W. Bock} and \textit{M. Grothaus}, Theory Probab. Math. Stat. 85, 7--22 (2012; Zbl 1285.60071); translation from Teor. Jmovirn. Mat. Stat. 85, 7--21 (2011) Full Text: DOI arXiv
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh Stochastic heat equation on algebra of generalized functions. (English) Zbl 1278.60106 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 4, Paper No. 1250026, 18 p. (2012). Reviewer: Isamu Dôku (Saitama) MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 4, Paper No. 1250026, 18 p. (2012; Zbl 1278.60106) Full Text: DOI
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)
Kachanovsky, N. A. Clark-Ocone type formulas on spaces of test and generalized functions of Meixner white noise analysis. (English) Zbl 1265.60127 Methods Funct. Anal. Topol. 18, No. 2, 160-175 (2012). Reviewer: A. N. Kochubei (Kyïv) MSC: 60H40 60H05 46F25 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 18, No. 2, 160--175 (2012; Zbl 1265.60127)
Sankhe, Mamour Annihilators of Frobenius vectors: algebraic structures. (English) Zbl 1253.22004 JP J. Algebra Number Theory Appl. 25, No. 1, 59-68 (2012). Reviewer: Hidenori Fujiwara (Iizuka) MSC: 22D10 22D30 46F25 PDFBibTeX XMLCite \textit{M. Sankhe}, JP J. Algebra Number Theory Appl. 25, No. 1, 59--68 (2012; Zbl 1253.22004) Full Text: Link
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh QWN-Euler operator and associated Cauchy problem. (English) Zbl 1248.60081 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 1, 1250004, 20 p. (2012). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 1, 1250004, 20 p. (2012; Zbl 1248.60081) Full Text: DOI
Si, Si Introduction to Hida distributions. (English) Zbl 1247.60004 Hackensack, NJ: World Scientific (ISBN 978-981-283-688-5/hbk; 978-981-283-689-2/ebook). xiii, 253 p. (2012). Reviewer: Isamu Dôku (Saitama) MSC: 60-02 60H40 46F25 PDFBibTeX XMLCite \textit{S. Si}, Introduction to Hida distributions. Hackensack, NJ: World Scientific (2012; Zbl 1247.60004) Full Text: Link
Melnikova, Irina V.; Alshanskiẽ, Maxim A. Infinite dimensional stochastic equation with multiplicative noise in spaces of stochastic distributions. (English) Zbl 1289.60120 Novi Sad J. Math. 41, No. 1, 01-10 (2011). Reviewer: Dora Seleši (Novi Sad) MSC: 60H40 46F25 47D06 34K30 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{M. A. Alshanskiẽ}, Novi Sad J. Math. 41, No. 1, 01--10 (2011; Zbl 1289.60120)
Accardi, Luigi; Barhoumi, Abdessatar; Ji, Un Cig Quantum Laplacians on generalized operators on boson Fock space. (English) Zbl 1260.60136 Probab. Math. Stat. 31, No. 2, 203-225 (2011). MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{L. Accardi} et al., Probab. Math. Stat. 31, No. 2, 203--225 (2011; Zbl 1260.60136) Full Text: Link
Melnikova, I.; Alshanskiy, M. Abstract stochastic problems in spaces of distributions. (English) Zbl 1269.60057 Rend. Semin. Mat., Univ. Politec. Torino 69, No. 4, 11 p. (2011). MSC: 60H10 46F25 47D06 34K30 60H40 PDFBibTeX XMLCite \textit{I. Melnikova} and \textit{M. Alshanskiy}, Rend. Semin. Mat., Univ. Politec. Torino 69, No. 4, 11 p. (2011; Zbl 1269.60057)
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)
Sankhe, Mamour Invariant differential operators and annihilators of covariant distribution vectors. (English) Zbl 1235.22008 Int. J. Funct. Anal. Oper. Theory Appl. 3, No. 1, 53-69 (2011). Reviewer: Samir Kabbaj (Kénitra) MSC: 22D10 22D30 46F25 PDFBibTeX XMLCite \textit{M. Sankhe}, Int. J. Funct. Anal. Oper. Theory Appl. 3, No. 1, 53--69 (2011; Zbl 1235.22008) Full Text: Link
Ji, Un Cig; Kim, Young Yi Convolutions of white noise operators. (English) Zbl 1239.60067 Bull. Korean Math. Soc. 48, No. 5, 1003-1014 (2011). Reviewer: Martin Grothaus (Kaiserslautern) MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{U. C. Ji} and \textit{Y. Y. Kim}, Bull. Korean Math. Soc. 48, No. 5, 1003--1014 (2011; Zbl 1239.60067) Full Text: DOI Link
Kachanovsky, N. A. Notes on Wick calculus on parametrized spaces of test functions of Meixner white noise. (English) Zbl 1240.60201 Methods Funct. Anal. Topol. 17, No. 2, 150-167 (2011). Reviewer: A. N. Kochubei (Kyïv) MSC: 60H40 46F25 60H20 PDFBibTeX XMLCite \textit{N. A. Kachanovsky}, Methods Funct. Anal. Topol. 17, No. 2, 150--167 (2011; Zbl 1240.60201)
Stampfer, Florian Pullback of measures on Riemannian manifolds. (English) Zbl 1219.58003 J. Math. Anal. Appl. 381, No. 2, 812-820 (2011). Reviewer: Kun Soo Chang (Seoul) MSC: 58C35 28C20 46F25 PDFBibTeX XMLCite \textit{F. Stampfer}, J. Math. Anal. Appl. 381, No. 2, 812--820 (2011; Zbl 1219.58003) Full Text: DOI
Oliveira, Maria João; da Silva, José Luís; Streit, Ludwig Intersection local times of independent fractional Brownian motions as generalized white noise functionals. (English) Zbl 1213.60076 Acta Appl. Math. 113, No. 1, 17-39 (2011). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60G22 60J55 60H40 28C20 46F25 PDFBibTeX XMLCite \textit{M. J. Oliveira} et al., Acta Appl. Math. 113, No. 1, 17--39 (2011; Zbl 1213.60076) Full Text: DOI arXiv