Infinite dimensional parametric distributions

References

• Colombeau and Jean Francois . 1984 . "New Generalized Functions, and Multiplication of Distributions" , Vol. 90 , New York : North Holland Mathematical Studies . Elsevier
   Google Scholar
• Constantinescu , F. 1980 . “ Distributions and their Application in Physics ” . In International series in Natural Philosophy , Vol. 100 , New York : Pergamon Press .
   Google Scholar
• Duchateau , P. 1972 . New proofs and generalizations of theorems of existence and uniqueness for the Goursat problem . Applicable Analysis , 2 : 61 – 78 .
   Google Scholar
• Duchateau , P. 1972 . The Cauchy-Goursat problem . Mem. Amer. Math Soc. , 118
   Google Scholar
• Duchateau , P. 1973 . A Holmgren type theorem for pseudo differ-ential operators in Gevrey classes . J. Diff, Equ. , 13 : 319 – 328 .
   Google Scholar
• Dwyer , T. 1971 . Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type . Bull. Amer. Math. Soc. , 77 : 725 – 730 .
   Web of Science ®Google Scholar
• Dwyer , T. 1973 . Holomorphic Fock representations and partial differential equations on countably Hilbert spaces . Bull. Amer. Math. Soc. , 79 : 1045 – 1050 .
   Google Scholar
• Dwyer , T. 1974 . “ Partial differential equations in holomorphic Fock spaces ” . In Functional Analysis and Applications , Edited by: Machbin , L. Vol. 384 , 252 – 259 . Berling-Heidelberg-New york : Springer Verlag .
   Google Scholar
• Dwyer , T. 1975 . “ Holomorphic representation of tempered distributions and weighted Fock spaces ” . In Analyse Fonctionnelle et Applications , Edited by: Nachbin , L. Vol. 1367 , 95 – 118 . Paris : Hermann .
   Google Scholar
• Dwyer , T. 1977 . “ Differential equations of infinite order in vector-valued holomorphic Fock spaces ” . In Infinite-Dimensional Holomorphy and Applications , Edited by: Matos , M. 167 – 200 . Amsterdam : North-Holland Publ. Co. .
   Google Scholar
• Dwyer , T. 1975 . Equations dlfferentielles d'ordre lnfini dans des espaces localement convexes . C.R. Acad. Sci. Paris, Ser. , A 280 : 1439 – 1442 .
   Google Scholar
• Dwyer , T. 1976 . Duallite' des espaces de fonctions entie en dimension Infinie . Ann. Inst. Fourier , 26 : 151 – 195 . Grenoble
   Google Scholar
• Dwyer , T. 1977 . Differential operator of Infinite order in locally convex spaces, I . Redlconti di matematica , 10 ( VI ) : 149 – 179 .
   Google Scholar
• Dwyer , T. 1977 . Differential operators of infinite order in locally convex spaces, II . Rendiconti di matematica , 10 ( 2 ) : 278 – 293 .
   Google Scholar
• Dwyer , T. 1978 . “ Analytic evolution equations in Banach spaces ” . In Lecture Notes in Math , Edited by: Cinnen , S. 48 – 61 . Berling-Heidelberg-New york : Springer Verlag . Proc. 1977 Dublin Conference on Vector Space Measures
   Google Scholar
• Dwyer , T. . Infinite dimensional analytic systems . Conference on Decision and Control, IEEE . pp. 285 – 290 .
   Google Scholar
• Friedman and Avner . 1963 . Generalized Functions and Partial Differ-ential Equations , New Jersey : Prentice Hall, Inc. .
   Google Scholar
• Frolicher , A. and Bucher , W. 1966 . Calculus in Vector Spaces without Norm. Lecture Notes in Mathematics , Vol. 30 , New York : Springer-Verlag .
   Google Scholar
• Gelfand , I.M. and Shllov , G.E. 1968 . Generalized Functions Volume II , Edited by: Friedman , Morris D. , Amiel Feinstein and Peltzer , Christian P. Vol. II , New York : Academic Press, Inc. .
   Google Scholar
• Kastler and Daniel . 1961 . “ Introduction a L'Electrodynamique Quantique ” . Paris : Dunod .
   Google Scholar
• Köthe , G. 1953 . Dualitat in der Funktionentheorie . Journal fur die Reine and Angewandte Math. , 191 : 30 – 49 .
   Google Scholar
• Köthe , G. 1934 . Lineare Raume mit Unendlichvielen Roordinaten und Ringe unendlicher Matrizen . Journal fur di Reine and Angewandte Mathlk , 171 : 193 – 226 .
   Google Scholar
• Köthe , G. 1969 . Topological Vector Spaces I , New York : Springer-Verlag Inc. .
   Google Scholar
• Liverman , T. P. G. 1964 . Generalized Functions and Direct Operational Methods , New Jersey : Prentice-Hall Inc. .
   Google Scholar
• Marinescu , G. 1963 . Espaces Vectorials Pseudo-topologlques et theorie des Distributions , Berlin: VEB Deutscher Verlag der Wissenshaften .
   Google Scholar
• Roumieu and Charles , M. 1960 . Sur Quelques Extensions de la Notion de Distributions . Ann. Sclent. E. Norm. Sup , 77 : 41 – 121 .
   Google Scholar
• Sehmeelk and John . 1984 . Application of Test Surfunctlons . Applicable Analysis , 17 ( 3 ) : 169 – 185 .
   Web of Science ®Google Scholar
• Schmeelk and John . 1980 . An Infinite Dimensional Laplacian Opera-tor . Journal of Differential Equations , 36 ( 1 ) April : 74 – 88 .
   Web of Science ®Google Scholar
• Schmeelk and John . . Helsenberg's Uncertainly Principle Motivating Some Functional Analysis . Proceedings of the 1981 ASEE National Meeting U.S.C . Los Angeles, California. pp. 898 – 900 .
   Google Scholar
• Schmeelk and John . Helsenberg's Uncertainty Priciple and Functional Analysis - Part II . Proceedings of the 1982 ASEE . Texas. June , pp. 735 – 740 . Texas A&M : College Station .
   Google Scholar
• Schmeelk , John . 1976 . Test Surfunctions and Surdistributions , Ph.D. thesis, George Washington University .
   Google Scholar
• Schwartz and Laurent . 1966 . Theorie des Distributions , Paris : Hermann .
   Google Scholar
• Wightman , A.S. and Streater , R.F. 1964 . PCT, Spin and Statistics and all That , New York : W.A. Benjamin Inc. .
   Google Scholar
• Zemanlan and Armen , H. 1965 . Distribution Theory and Transform Analysis , New York : McGraw-Hill Book Co. .
   Google Scholar
• Zemanlan and Armen , H. 1972 . Realizability theory for Continuous Linear Linear Systems , New York : Academic Press, Inc. .
   Google Scholar