Results 61 to 70 of about 370 (125)
Moment sequences for ultradistributions
Mathematische Zeitschrift, 1990 We present a necessary and sufficient condition for a sequence to be the moment sequence of an ultradistribution with compact support. This result extends Estrada and Kanwal's criterion for moment sequences of distributions and permits to handle a much larger class of dual Taylor expansions. Applications is made to a class of A-scalar operators (in the
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Microlocal analysis of ultradistributions [PDF]
Proceedings of the American Mathematical Society, 1998 The ultradistributional wave front sets of an ultradistribution u u are characterized by the behaviour of
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Micro-local analysis in some spaces of ultradistributions [PDF]
, 2012 We extend some results from [14] and [19], concerning wave-front sets of Fourier–Lebesgue and modulation space types, to a broader class of spaces of ultradistributions.
Stevan Pilipovic +7 more
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On a class of translation-invariant spaces of quasianalytic ultradistributions [PDF]
, 2015 A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and studied. They are Banach modules over a Beurling algebra. Based on this class of Banach spaces, we define corresponding test function spaces $\mathcal{D}^
Vindas Diaz, Jasson +2 more
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EXPONENTIAL GENERALIZED DISTRIBUTIONS [PDF]
, 2010 In this paper we generalize the Fourier transform from the space of tempered distributions to a bigger space called exponential generalized distributions.
Gordon, M., Loura, L.
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On Tempered Ultradistributions in Classical Morrey Spaces [PDF]
We introduce the notion of tempered ultradistributions in classical Morrey spaces by preserving their respective properties. Moreover we investigate some embedding results within the scale of classical Morrey spaces (local Morrey space $\mathcal{L}^{p ...
Amaonyeiro, Anslem Uche, Egwe, Murphy
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Convolution of Lorentz Invariant Ultradistributions and Field Theory [PDF]
, 2004 A general definition of convolution between two arbitrary four-dimensional Lorentz invariant (fdLi) tempered ultradistributions is given, in both Minkowski and Euclidean space (spherically symmetric tempered Ultradistributions).
Bollini, C. G., Rocca, Mario Carlos
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THE KERNEL THEOREM IN ULTRADISTRIBUTIONS: MICROLOCAL REGULARITY OF THE KERNEL [PDF]
, 2009 We study the kernel theorem in ultradistributions of Beurling and Roumieu type. The main result is a characterization in terms of microlocal analsis of partial regularity of the relevan ultadistribution ...
LIESS, OTTO EDWIN, Y. Okada
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On the ultradistributions of Beurling type
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2009 Sea un conjunto abierto no vac´ýo del espacio euclideo . En este articulo se demuestra que si S es una ultradistribucion en , perteneciente a una clase de tipo Beurling que sea estable frente a operadores diferenciales, entonces S se puede representar en la formaP2Nk0 Df, donde f es una funcion compleja definida en que es Lebesgue medible y ...
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Ultradistributions and The Fractionary Schrödinger Equation
, 2010 In this work, we generalize the results of Naber about the Fractionary Schrödinger Equation with the use of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular we evaluate the Green's function for a free particle in the general case.
De Paoli, A. L., Rocca, M. C.
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