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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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Axel Bichler,Volker Trommsdorffprincipal symbol being a symbol of principal type near some characteristic point (i.e., vanishing at a part of the characteristic set). We prove (micro)local non-solvability results as well as subelliptic estimates in the second case when the loss of regularity is of the following type: .. For the o
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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 s
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G. Zerbi,M. Gussoni,C. Castiglioniarameterized by real numbers. We show that continuity properties in the framework of modulation space theory, valid for the Shubin’s family extend to the broader matrix parameterized family of pseudo-differential calculi.
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Oliver Gassmann,Fabrizio Ferrandinarify the relationship between Toeplitz operators in Bargmann–Fock spaces and Daubechies operators in L.(ℝ.). As application of our results, we will give a new proof of the formula of the eigenvalues of Daubechies operators with polyradial symbols.
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Michael Oberguggenberger,Joachim Toft,Patrik WahlbGives and up-to-date overview on the convergence and joint progress of Generalized Functions and Fourier Analysis.Joint collaboration of IAGF, IGPDO and IGGF.Dedicated to Prof. Stevan Pilipovic
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Coniferen im Westlichen Malayischen ArchipelWe consider quasi-Banach spaces that lie between a Gelfand–Shilov space, or more generally, Pilipovi´c space, ., and its dual, . . We prove that for such quasi-Banach space ., there are convenient Hilbert spaces, ., with normalized Hermite functions as orthonormal bases and such that . lies between ., and the latter spaces lie between ..
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https://doi.org/10.1057/9781137492975We prove that an ultradistribution is rotation invariant if and only if it coincides with its spherical mean. For it, we study the problem of spherical representations of ultradistributions on ℝ.. Our results apply to both the quasianalytic and the non-quasianalytic case.
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