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Titlebook: Generalized Functions and Their Applications; R. S. Pathak Book 1993 Springer Science+Business Media New York 1993 Manifold.Standard.diffe

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樓主: affront
41#
發(fā)表于 2025-3-28 15:39:12 | 只看該作者
Svetlana Yarosh,Gregory D. Abowdme preliminary results concerning Toeplitz operators for Bergman classes. More explicitly, we look at the space of boundary functions of elements in the standard Bergman class ..(.), consisting of functions analytic on the open unit disk . and square-summable with respect to the area measure. As the
42#
發(fā)表于 2025-3-28 20:59:20 | 只看該作者
43#
發(fā)表于 2025-3-29 01:14:59 | 只看該作者
Anne Katherine Griswold,Erika Ruckert.We start with the basic concepts of the sifting property of the delta function and the fact that it is the derivative of the Heaviside function. Then we build up the derivatives of the generalized functions across a surface of discontinuity. We demonstrate that this information is sufficient to der
44#
發(fā)表于 2025-3-29 05:28:55 | 只看該作者
45#
發(fā)表于 2025-3-29 07:46:17 | 只看該作者
46#
發(fā)表于 2025-3-29 12:28:57 | 只看該作者
47#
發(fā)表于 2025-3-29 17:31:49 | 只看該作者
https://doi.org/10.1007/978-3-030-46274-1utions stimulated many mathematicians to study such problems in various subspaces of distributions. We cite here only the results of Zielezny ([15], [16]) and Swartz ([12], [13]), since they are connected with the results of this paper. Convolution equations for ultradistribution spaces were studied
48#
發(fā)表于 2025-3-29 22:50:40 | 只看該作者
49#
發(fā)表于 2025-3-30 02:07:21 | 只看該作者
V. Vijayaraghavan,J. Rian LeevinsonThe Cauchy representation of distributions in the space (..(..))’ is proved. It is shown that every probability density defines a generalized function on the space ..(..) (1 < p < ∞) of test functions. Application of these results in probability theory are discussed.
50#
發(fā)表于 2025-3-30 06:26:52 | 只看該作者
Connecting the Internet of ThingsSome classes of spaces of generalized functions with special reference to the Laplace transformation are surveyed, the spaces being norm completions. It is proved using a theorem of G. D. Birkhoff that these spaces contain universal approximants..Mathematics Subject Classification: primary 44A40, 44A10, secondary 44A35, 46F12.
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