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Titlebook: Generalized Functions and Fourier Analysis; Dedicated to Stevan Michael Oberguggenberger,Joachim Toft,Patrik Wahlb Book 2017 Springer Inte

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Generalized Function Algebras Containing Spaces of Periodic Ultradistributions,ctions on the unit circle coincides with their pointwise multiplication. Furthermore, we introduce a notion of regularity in our newly defined algebras and show that an embedded ultradistribution is regular if and only if it is an ultradifferentiable function.
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On Temperate Distributions Decaying at Infinity,derivatives of suitable functions. We also prove mapping properties under the action of a class of Fourier integral operators, with inhomogeneous phase function and polynomially bounded symbol globally defined on .
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Blow-up Phenomena for Solutions of Discrete Nonlinear ,-Laplacian Parabolic Equations on Networks, the general .-Laplacian case. In each case, we classify the parameters depending on the equations so that we can see when the solutions blow up or globally exist. Moreover, the blow-up time and blow-up rate are introduced for the blow-up solutions. The last part is devoted to the blow-up of Fujita type.
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Ultradifferentiable Functions of Class , and Microlocal Regularity,alization procedure which leads to the concept of wave-front set with respect to our regularity conditions. As an application, we identify singular supports of suitable spaces of ultradifferentiable functions as standard projections of intersections/unions of wave-front sets.
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0255-0156 F, IGPDO and IGGF.Dedicated to Prof. Stevan Pilipovic.This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-
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Jerzy Urbanowicz,Kenneth S. Williamsderivatives of suitable functions. We also prove mapping properties under the action of a class of Fourier integral operators, with inhomogeneous phase function and polynomially bounded symbol globally defined on .
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