Distribution-valued functions
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RIS BIB ENDNOTEDistribution-valued functions
Data publikacji: 06.06.2014
Czasopismo Techniczne, 2013, Nauki Podstawowe Zeszyt 1 NP (4) 2013, s. 41-54
https://doi.org/10.4467/2353737XCT.14.032.2615Autorzy
Distribution-valued functions
We study continuity and differentiability of a distribution-valued function. It is understood
in a strong sense due to inductive limit topology.
Atanacković T.M., Stanković B., Generalized functions in solving linear mathematical models in mechanics, Zb. Rad. (Beogr.), 11, 19, 2006, 5-59.
Embacher H.G., Grubl G., Oberguggenbergen M., Products of Distributions in Several Variables and Applications to Zero-Mass QED2, Zeitschrift f. Analysis u. ihre Anwendungen 11, 1992, 437-454.
Pietsch A., Nuclear locally convex spaces, Springer, 1972.
Rudin W., Functional Analysis, McGraw-Hill, New York 1973.
Schwartz L., Théorie des distributions, Hermann, Paris 1951.
Thomas E., Bochner and Bernstein theorems via the nuclear integral representation theorem, J. Math. Anal. Appl. 297, 2004, No. 2, 612-624.
Treves F., Basic Linear Partial Differential Equations, Academic Press, New York 1975.
Vladimirov V., Generalized Functions in Mathematical Physics, Mir, Moscow 1979.
Wiciak M., A solution of the Cauchy problem in the class of absolutely continuous distribution-valued functions, Univ. Iagel. Acta Math., 42, 2004, 31-53.
Wiciak M., Analytical solution of the problem of vibration of plates with piezoelectric actuators with arbitrary shape in distribution formulation, Acta Phys. Polon. A, 121, 2012, 142-147.
Informacje: Czasopismo Techniczne, 2013, Nauki Podstawowe Zeszyt 1 NP (4) 2013, s. 41-54
Typ artykułu: Oryginalny artykuł naukowy
Tytuły:
Distribution-valued functions
Distribution-valued functions
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Publikacja: 06.06.2014
Status artykułu: Otwarte
Licencja: CC BY
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-Języki publikacji:
Angielski