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

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Bernhard Baumgartner,Winfried J. Steinerence of an exact soliton type solution with an exponential decay rate, however we do not suppose the smallness of the interacting waves. The general idea is realized in the cases of two and three waves and for the gKdV-4 equation with small dispersion.

innovation

polynomials. The proof is a combination of the fact in the textbook by Treves and the well-known bipolar theorem. In this paper by extending slightly the idea employed in [5], we give an alternative proof of this fact and then we extend this proposition so that we can include some related function spaces.

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On General Prime Number Theorems with Remainder,ounting functions of the generalized integers and primes, respectively. This was already considered by Nyman (Acta Math. 81 (1949), 299–307), but his article on the subject contains some mistakes. We also obtain an average version of this prime number theorem with remainders in the Cesàro sense.

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Multi-soliton Collision for Essentially Nonintegrable Equations,ence of an exact soliton type solution with an exponential decay rate, however we do not suppose the smallness of the interacting waves. The general idea is realized in the cases of two and three waves and for the gKdV-4 equation with small dispersion.