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Different aspects of differentiability

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Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Preface............................................................................................................................................................................. 3 List of participants.................................................................................................................................................................. 6 List of lectures......................................................................................................................................................................... 7-8 Introducing to different aspects of differentiability (by D. Przeworska-Rolewicz)........................................................ 9-12 P. Antosik and S. Saeki, A lemma on set functions and its applications..................................................................... 13-21 Z. Binderman, On isomorphisms of spaces of functional R-shifts for right invertible operators............................ 23-36 R. Bittner, Linear spaces of results on the quotient field of operators.......................................................................... 37-40 B. Choczewski, Continuous nowhere differentiable functions and related functional equations........................... 41-46 B. Fisher, Neutrices and convolution products of distributions..................................................................................... 47-53 L. Gajek and D. Zagrodny, Geometric variational principle............................................................................................. 55-71 S. Hejazian and A. Niknam, Derivations of operator algebras, automatic closability................................................ 73-78 A. Kamiński, D. Perišić and S. Pilipović, On convolution of ultradistributions............................................................. 79-91 A. Kamiński, D. Perišić and S. Pilipović, Existence theorems for convolution of ultradistributions....................... 93-114 Yu. I. Karlovich, The continuous invertibility of functional operators in Banach spaces............................................ 115-136 W. Kierat and K. Skórnik, A remark on solutions of the Laguerre differential equation............................................. 137-141 V. S. Kiryakova and V. Hernández Suárez, Bessel-Clifford third order differential operator and corresponding Laplace type integral transform........................................................................................................ 143-161 M. Langenbruch, Continuous linear right inverses for differential operators.............................................................. 163-181 J. Ligęza, Generalized solutions of boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra....................................................................................................................... 183-194 G. Łysik, Generalized analytic functions and a strong quasi-analyticity principle...................................................... 195-200 P. Mikusiński, Transforms of Boehmians......................................................................................................................... 201-206 D. Pallaschke and R. Urbański, Quasidifferentiable functions and minimal pairs of compact convex sets....... 207-221 S. Pilipović, Structural theorems for ultradistributions..................................................................................................... 223-235 A. P. Prudnikov, On the continuation of the ideas of Heaviside and Mikusiński in operational calculus............... 237-287 D. Przeworska-Rolewicz, Consequences of the Leibniz condition............................................................................... 289-300 S. Rolewicz, On subdifferentials on non-convex sets...................................................................................................... 301-308 R. Rudnicki, On composition of functions and measures.............................................................................................. 309-320 S. B. Yakubovich, On the new approach to the constructions of the index transforms.............................................. 321-335 V. V. Zharinov, Convolution algebras of sequences......................................................................................................... 337-342

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Different aspects of differentiability