Taylor formula for distributions
Bogdan Ziemian
GDML_Books, (1988), p.

CONTENTS0. Introduction................................................................................................................................................................51. Preliminary remarks...................................................................................................................................................62. Hyperfunctions and their generalizations.................................................................................................................103. Flat functions; definitions and properties.................................................................................................................144. Taylor formula for quasi O(xa) functions.............................................................................................................185. Homogeneous distributions and their properties......................................................................................................206. Mellin transformable distributions.............................................................................................................................227. Differential equations in the space of Mellin transformable distributions. Operational calculus for ℳ......................268. Taylor formula for distributions.................................................................................................................................299. Taylor transformation for functions and distributions................................................................................................3210. Spectral support of a function and of a distribution................................................................................................3311. Determination of singularities of solutions of ordinary linear differential operators with smooth coefficients..........3611. 1. Asymptotic expansion of the push-forward operation Fφ for F admitting an F-invariant operator...........4012. Value of a function (distribution) at a point.............................................................................................................4113. Taylor formula for the product of functions.............................................................................................................4414. Multiplication of distributions. Taylor formula for the product of distributions..........................................................4714.1. Spectral topology................................................................................................................................................5014.2. Heuristic remarks concerning multiplication of distributions.................................................................................5114.3. Taylor formula for the function 1/f........................................................................................................................5115. Taylor formula for composite functions...................................................................................................................52References ..................................................................................................................................................................56

EUDML-ID : urn:eudml:doc:268619
@book{bwmeta1.element.zamlynska-12bb5d6a-bf89-45ae-82f6-d4843817119b,
     author = {Bogdan Ziemian},
     title = {Taylor formula for distributions},
     series = {GDML\_Books},
     publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
     address = {Warszawa},
     year = {1988},
     zbl = {0685.46025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-12bb5d6a-bf89-45ae-82f6-d4843817119b}
}
Bogdan Ziemian. Taylor formula for distributions. GDML_Books (1988),  http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-12bb5d6a-bf89-45ae-82f6-d4843817119b/