Different aspects of differentiability

Different aspects of differentiability. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1995. <http://eudml.org/doc/268508>.

@book{Unknown1995,
abstract = {PREFACE The Conference "Different Aspects of Differentiability" was held in Warsaw from September 13 to September 18, 1993. The organizing Committee included Piotr Antosik (Katowice), Danuta Przeworska-Rolewicz (Warszawa) and Krystyna Skórnik (Katowice). The main topics were: algebraic analysis, operational calculi, generalized functions, related convergence problems, structures with differentiation, subdifferentials, their generalizations and applications to optimization.40 mathematicians from 12 countries participated in the conference. They delivered 10 50-minute lectures, 15 30-minute lectures and 11 short communications. The Institute of Mathematics of the Polish Academy of Sciences was the organizer and main sponsor of the Conference. The Conference was also sponsored by The Polish Committee for Scientific Research. Two participants from Ukraine and one participant from Byelorussia were sponsored by International Science Foundation (USA). It should also be mentioned that a mathematician, wishing to remain anonymous, was an individual sponsor of the Conference. The Organizing Committee is very indebted to all institutions and people who sponsored the Conference and helped the organizers in their efforts.  Most of papers in the Proceedings contain original results presented during the Conference. Some are of survey character. All papers have been reviewed individually.  Organizing CommitteeCONTENTSPreface............................................................................................................................................................................. 3List of participants.................................................................................................................................................................. 6List of lectures......................................................................................................................................................................... 7-8Introducing to different aspects of differentiability (by D. Przeworska-Rolewicz)........................................................ 9-12P. Antosik and S. Saeki, A lemma on set functions and its applications..................................................................... 13-21Z. Binderman, On isomorphisms of spaces of functional R-shifts for right invertible operators............................ 23-36R. Bittner, Linear spaces of results on the quotient field of operators.......................................................................... 37-40B. Choczewski, Continuous nowhere differentiable functions and related functional equations........................... 41-46B. Fisher, Neutrices and convolution products of distributions..................................................................................... 47-53L. Gajek and D. Zagrodny, Geometric variational principle............................................................................................. 55-71S. Hejazian and A. Niknam, Derivations of operator algebras, automatic closability................................................ 73-78A. Kamiński, D. Perišić and S. Pilipović, On convolution of ultradistributions............................................................. 79-91A. Kamiński, D. Perišić and S. Pilipović, Existence theorems for convolution of ultradistributions....................... 93-114Yu. I. Karlovich, The continuous invertibility of functional operators in Banach spaces............................................ 115-136W. Kierat and K. Skórnik, A remark on solutions of the Laguerre differential equation............................................. 137-141V. S. Kiryakova and V. Hernández Suárez, Bessel-Clifford third order differential operatorand corresponding Laplace type integral transform........................................................................................................ 143-161M. Langenbruch, Continuous linear right inverses for differential operators.............................................................. 163-181J. Ligęza, Generalized solutions of boundary value problems for ordinary linear differential equationsof second order in the Colombeau algebra....................................................................................................................... 183-194G. Łysik, Generalized analytic functions and a strong quasi-analyticity principle...................................................... 195-200P. Mikusiński, Transforms of Boehmians......................................................................................................................... 201-206D. Pallaschke and R. Urbański, Quasidifferentiable functions and minimal pairs of compact convex sets....... 207-221S. Pilipović, Structural theorems for ultradistributions..................................................................................................... 223-235A. P. Prudnikov, On the continuation of the ideas of Heaviside and Mikusiński in operational calculus............... 237-287D. Przeworska-Rolewicz, Consequences of the Leibniz condition............................................................................... 289-300S. Rolewicz, On subdifferentials on non-convex sets...................................................................................................... 301-308R. Rudnicki, On composition of functions and measures.............................................................................................. 309-320S. B. Yakubovich, On the new approach to the constructions of the index transforms.............................................. 321-335V. V. Zharinov, Convolution algebras of sequences......................................................................................................... 337-342},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Different aspects of differentiability},
url = {http://eudml.org/doc/268508},
year = {1995},
}

TY - BOOK
TI - Different aspects of differentiability
PY - 1995
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - PREFACE The Conference "Different Aspects of Differentiability" was held in Warsaw from September 13 to September 18, 1993. The organizing Committee included Piotr Antosik (Katowice), Danuta Przeworska-Rolewicz (Warszawa) and Krystyna Skórnik (Katowice). The main topics were: algebraic analysis, operational calculi, generalized functions, related convergence problems, structures with differentiation, subdifferentials, their generalizations and applications to optimization.40 mathematicians from 12 countries participated in the conference. They delivered 10 50-minute lectures, 15 30-minute lectures and 11 short communications. The Institute of Mathematics of the Polish Academy of Sciences was the organizer and main sponsor of the Conference. The Conference was also sponsored by The Polish Committee for Scientific Research. Two participants from Ukraine and one participant from Byelorussia were sponsored by International Science Foundation (USA). It should also be mentioned that a mathematician, wishing to remain anonymous, was an individual sponsor of the Conference. The Organizing Committee is very indebted to all institutions and people who sponsored the Conference and helped the organizers in their efforts.  Most of papers in the Proceedings contain original results presented during the Conference. Some are of survey character. All papers have been reviewed individually.  Organizing CommitteeCONTENTSPreface............................................................................................................................................................................. 3List of participants.................................................................................................................................................................. 6List of lectures......................................................................................................................................................................... 7-8Introducing to different aspects of differentiability (by D. Przeworska-Rolewicz)........................................................ 9-12P. Antosik and S. Saeki, A lemma on set functions and its applications..................................................................... 13-21Z. Binderman, On isomorphisms of spaces of functional R-shifts for right invertible operators............................ 23-36R. Bittner, Linear spaces of results on the quotient field of operators.......................................................................... 37-40B. Choczewski, Continuous nowhere differentiable functions and related functional equations........................... 41-46B. Fisher, Neutrices and convolution products of distributions..................................................................................... 47-53L. Gajek and D. Zagrodny, Geometric variational principle............................................................................................. 55-71S. Hejazian and A. Niknam, Derivations of operator algebras, automatic closability................................................ 73-78A. Kamiński, D. Perišić and S. Pilipović, On convolution of ultradistributions............................................................. 79-91A. Kamiński, D. Perišić and S. Pilipović, Existence theorems for convolution of ultradistributions....................... 93-114Yu. I. Karlovich, The continuous invertibility of functional operators in Banach spaces............................................ 115-136W. Kierat and K. Skórnik, A remark on solutions of the Laguerre differential equation............................................. 137-141V. S. Kiryakova and V. Hernández Suárez, Bessel-Clifford third order differential operatorand corresponding Laplace type integral transform........................................................................................................ 143-161M. Langenbruch, Continuous linear right inverses for differential operators.............................................................. 163-181J. Ligęza, Generalized solutions of boundary value problems for ordinary linear differential equationsof second order in the Colombeau algebra....................................................................................................................... 183-194G. Łysik, Generalized analytic functions and a strong quasi-analyticity principle...................................................... 195-200P. Mikusiński, Transforms of Boehmians......................................................................................................................... 201-206D. Pallaschke and R. Urbański, Quasidifferentiable functions and minimal pairs of compact convex sets....... 207-221S. Pilipović, Structural theorems for ultradistributions..................................................................................................... 223-235A. P. Prudnikov, On the continuation of the ideas of Heaviside and Mikusiński in operational calculus............... 237-287D. Przeworska-Rolewicz, Consequences of the Leibniz condition............................................................................... 289-300S. Rolewicz, On subdifferentials on non-convex sets...................................................................................................... 301-308R. Rudnicki, On composition of functions and measures.............................................................................................. 309-320S. B. Yakubovich, On the new approach to the constructions of the index transforms.............................................. 321-335V. V. Zharinov, Convolution algebras of sequences......................................................................................................... 337-342
LA - eng
UR - http://eudml.org/doc/268508
ER -