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CoverBanach center publications. Vol.88: Linear and non-linear theory of generalized functions and its applications / ed. by Kamiński A., Oberguggenberger M., Pilipović S.; Polish academy of sciences, Institute of mathematics. - Warszawa: PWN, 2010. - 321 p.: - Incl. bibl. ref. - ISBN 978-83-86806-07-2; ISSN 0137-6934
 

Место хранения: 013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents
 
List of participants ............................................ 9
List of lectures ............................................ 10-12

A. Kamiński and S. Mincheva-Kamińska, Conferences on
   generalized functions: from the beginning to 
   the present .............................................. 13-16
K. Skórnik, Professor Jan Mikusiński - the 20th
   anniversary of his death ................................. 17-29
N.V. Bedziuk and A.L. Yablonski, Equations in 
   differentials in the algebra of generalized stochastic
   processes ................................................ 31-38
K. Benmeriem and C. Bouzar, Affine ultraregular 
   generalized functions .................................... 39-53
V.G. Danilov, On the relation between the Maslov-Whit
   ham method and the weak asymptotics method ............... 55-65
A. Dasgupta and M.W. Wong, Fourier-Wigner transforms and
   Liouville's theorems for the sub-Laplacian on 
   the Heisenberg group ..................................... 67-75
A. Delcroix, Kernel theorems in spaces of generalized
   functions ................................................ 77-89
R. Estrada, Distributions that are functions ............... 91-110
C. Garetto, fig.1- and fig.2∞-hypoellipticity of partial
   differential operators with constant Colombeau
   coefficients ........................................... 111-131
K. Grasela, The algebra of polynomials on the space of
   ultradifferentiable functions .......................... 133-143
M. Grosser, Tensor valued Colombeau functions on 
   manifolds .............................................. 145-152
A. Holst, J. Toft and P. Wahlberg, Weyl product algebras
   and classical modulation spaces ........................ 153-158
H. Komatsu, Heaviside's theory of signal transmission on
   submarine cables ....................................... 159-173
M. Kunzinger, Recent progress in special Colombeau
   algebras: geometry, topology, and algebra .............. 175-184
M. Langenbruch, Characterization of surjective
   convolution operators on Sato's hyperfunctions ......... 185-193
O. Łopuszański, Polynomial ultradistributions: 
   differentiation and Laplace transformation ............. 195-209
J.-A. Marti, Sheaf theory and regularity. Application to
   local and microlocal analysis .......................... 211-228
S. Michalik, Laplace ultradistributions supported by
   a cone ................................................. 229-241
Ya.V. Radyno and Ya.M. Radyna, Generalized functions
   on adeles. Linear and non-linear theories .............. 243-250
V.M. Shelkovich, Singular solutions to systems of
   conservation laws and their al gebraic aspects ......... 251-266
R. Steinbauer, A geometric approach to full Colombeau
   algebras ............................................... 267-272
W. Trebels and U. Westphal, Fractional powers of 
   operators, K-functionals, Ulyanov inequalities ......... 273-283
V. Valmorin, Schwartz kernel theorem in algebras of
   generalized functions .................................. 285-296
J. Vindas, The structure of quasiasymptotics of Schwartz
   distributions .......................................... 297-314
D. Vogt, Section spaces of real analytic vector bundles
   and a theorem of Grothendieck and Poly ................. 315-321

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