Contents of Volume 88
Linear and Non-Linear Theory
of Generalized Functions
and its Applications
Editors: Andrzej Kamiński, Michael Oberguggenberger and Stevan Pilipović
ISBN: 978-83-86806-07-2, doi:10.4064/bc88
Editors: Andrzej Kamiński, Michael Oberguggenberger and Stevan Pilipović
ISBN: 978-83-86806-07-2, doi:10.4064/bc88
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Conferences on generalized functions: from the beginning to the present Banach Center Publications 88 (2010), 13-16 DOI: 10.4064/bc88-0-1
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Professor Jan Mikusiński–the 20th anniversary of his death Banach Center Publications 88 (2010), 17-29 MSC: 01A60, 01A70, 01A72, 44A40. DOI: 10.4064/bc88-0-2
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Equations in differentials in the algebra of generalized stochastic processes Banach Center Publications 88 (2010), 31-38 MSC: Primary 34A37, 60H20; Secondary 46F30, 60G20. DOI: 10.4064/bc88-0-3
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Affine ultraregular generalized functions Banach Center Publications 88 (2010), 39-53 MSC: Primary 46F30; Secondary 35A18, 46F10. DOI: 10.4064/bc88-0-4
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On the relation between the Maslov–Whitham method and the weak asymptotics method Banach Center Publications 88 (2010), 55-65 MSC: 35Q34, 76L05. DOI: 10.4064/bc88-0-5
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Fourier–Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group Banach Center Publications 88 (2010), 67-75 MSC: Primary 47F05, 47G30; Secondary 35H20. DOI: 10.4064/bc88-0-6
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Kernel theorems in spaces of generalized functions Banach Center Publications 88 (2010), 77-89 MSC: Primary 47G10; Secondary 45P05, 46F05, 46F30. DOI: 10.4064/bc88-0-7
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Distributions that are functions Banach Center Publications 88 (2010), 91-110 MSC: Primary 46F10. DOI: 10.4064/bc88-0-8
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$\mathcal G$- and $\mathcal{G}^{\infty}$-hypoellipticity of partial differential operators with constant Colombeau coefficients Banach Center Publications 88 (2010), 111-131 MSC: Primary 46F30; Secondary 35H99. DOI: 10.4064/bc88-0-9
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The algebra of polynomials on the space of ultradifferentiable functions Banach Center Publications 88 (2010), 133-143 MSC: Primary 46F25; Secondary 46F10, 44A10. DOI: 10.4064/bc88-0-10
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Tensor valued Colombeau functions on manifolds Banach Center Publications 88 (2010), 145-152 MSC: Primary 46F30; Secondary 46T30, 53A45 DOI: 10.4064/bc88-0-11
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Weyl product algebras and classical modulation spaces Banach Center Publications 88 (2010), 153-158 MSC: Primary 42B35, 35S05; Secondary 47B37 DOI: 10.4064/bc88-0-12
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Heaviside's theory of signal transmission on submarine cables Banach Center Publications 88 (2010), 159-173 MSC: Primary 44A45; Secondary 35C15. DOI: 10.4064/bc88-0-13
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Recent progress in special Colombeau algebras: geometry, topology, and algebra Banach Center Publications 88 (2010), 175-184 MSC: Primary 46F30; Secondary 46T30, 46A20, 16D25, 53B20. DOI: 10.4064/bc88-0-14
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Characterization of surjective convolution operators on Sato's hyperfunctions Banach Center Publications 88 (2010), 185-193 MSC: Primary 46F15; Secondary 46N20, 44A35. DOI: 10.4064/bc88-0-15
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Polynomial ultradistributions: differentiation and Laplace transformation Banach Center Publications 88 (2010), 195-209 MSC: Primary 46F25; Secondary 46F12, 46G25. DOI: 10.4064/bc88-0-16
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Sheaf theory and regularity. Application to local and microlocal analysis Banach Center Publications 88 (2010), 211-228 MSC: Primary 35A27; Secondary 35A18, 46F30, 35D10. DOI: 10.4064/bc88-0-17
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Laplace ultradistributions supported by a cone Banach Center Publications 88 (2010), 229-241 MSC: Primary 46F05, 46F12, 44A10. DOI: 10.4064/bc88-0-18
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Generalized functions on adeles. Linear and non-linear theories Banach Center Publications 88 (2010), 243-250 MSC: Primary 43A70; Secondary 46F30. DOI: 10.4064/bc88-0-19
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Singular solutions to systems of conservation laws and their algebraic aspects Banach Center Publications 88 (2010), 251-266 MSC: Primary 35L65; Secondary 35L67, 76L05. DOI: 10.4064/bc88-0-20
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A geometric approach to full Colombeau algebras Banach Center Publications 88 (2010), 267-272 MSC: Primary 46T30; Secondary 46F30. DOI: 10.4064/bc88-0-21
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Fractional powers of operators, $ K$-functionals, Ulyanov inequalities Banach Center Publications 88 (2010), 273-283 MSC: Primary 47D60, 46B70; Secondary 41A17, 41A65. DOI: 10.4064/bc88-0-22
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Schwartz kernel theorem in algebras of generalized functions Banach Center Publications 88 (2010), 285-296 MSC: 46F10, 46F30, 47B34, 47G10. DOI: 10.4064/bc88-0-23
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The structure of quasiasymptotics of Schwartz distributions Banach Center Publications 88 (2010), 297-314 MSC: Primary 46F10, 41A60; Secondary 26A12, 42A24. DOI: 10.4064/bc88-0-24
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Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly Banach Center Publications 88 (2010), 315-321 MSC: Primary 46E10; Secondary 32C05, 46A63, 46M20. DOI: 10.4064/bc88-0-25
