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Showing 1 to 11 of 11 for “"Summability"”.
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Perron Summability as Related to Denjoy Type Quasi Analytic Functions
Made available in DSpace on 2014-12-05T21:50:15Z (GMT). No. of bitstreams: 1 6001629.pdf: 966990 bytes, checksum: aa5f48c7bf656d49dfe9a75c2368d85d (MD5) Previous issue date: 1960
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Local behavior of distributions and applications
… and complex function theory, tauberian theory, summability of divergent series and integrals, and number theory. In Chapter 2 we give two new proofs of the Prime Number Theory based on ideas from asymptotic analysis on spaces of distributions. Several inverse problems in Fourier analysis and …
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Frequency-domain analysis of memoryless nonlinearities having large-signal, almost periodic excitations
… an infinite interval. Results are given for the summability of the series. Starting with a theorem from Diophantine Approximation, it is proven that the normalized (Hertzian) phases corresponding to a set of M basis frequencies have their fractional parts uniformly distributed in an M-dimensional …
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Maximum principle, mean value operators and quasi boundedness in non-euclidean settings
… inequality together with a lower terms summability. Adding some crucial hypotheses on measure and on vector fields (Doubling property and Poincar´e inequality), we will be able to obtain some Liouville-type results. This chapter is based on the paper [GL03] by Guti´errez and Lanconelli. …
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Thoughts on harmonic analysis on the sphere: spherical wavelet frames and kernels
… so called spherical \alpha-wavelets/shearlets. Summability properties of those wavelets/shearlets are well established once they are restricted to certain subspaces of square-integrable functions newly defined in this dissertation, including the so called hollow pole functions. Kernels, though …
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Scattering and stability properties of nonlinear wave equations on asymptotically flat spacetimes
… background and therefore allow for the summability of fixed angular mode analysis performed by Kehrberger.
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ΧΑΡΑΚΤΗΡΙΣΜΟΣ ΔΥΝΑΜΟΣΕΙΡΩΝ ΜΕ ΜΕΡΙΚΑ ΑΘΡΟΙΣΜΑΤΑ ΠΑΝΩ ΣΕ ΠΕΠΕΡΑΣΜΕΝΟ ΠΛΗΘΟΣ ΚΥΚΛΩΝ
LET K BE THE CLASS OF TRIGONOMETRIC SERIES OF POWER TYPE, I.E. TAYLOR SERIES Σ C ZN FOR Z=E IX, WHOSE PARTIAL SUMS FOR ALL X IN E, WHERE E IS A NONDENUMERABLESUBSET OF (0,2Π) LIE ON A FINITE NUMBER OF CIRCLES (A PRIORI DEPENDINGON X) IN THE COMPLEX PLANE. THE MAIN RESULT OF THIS PAPER IS THAT FOR …