Generalized Functions, Convergence Structures, and Their Applications.pdf

Generalized Functions, Convergence Structures, and Their Applications PDF

This Proceedings consists of a collection of papers presented at the International Conference Generalized functions, convergence structures and their applications held from June 23-27, 1987 in Dubrovnik, Yugoslavia (GFCA-87): 71 participants from 21 countr~es from allover the world took part in the Conference. Proceedings reflects the work of the Conference. Plenary lectures of J. Burzyk, J. F. Colombeau, W. Gahler, H. Keiter, H. Komatsu, B. Stankovic, H. G. Tillman, V. S. Vladimirov provide an up-to-date account of the cur­ rent state of the subject. All these lectures, except H. G. Tillmans, are published in this volume. The published communications give the contemporary problems and achievements in the theory of generalized functions, in the theory of convergence structures and in their applications, specially in the theory of partial differential equations and in the mathematical physics. New approaches to the theory of generalized functions are presented, moti­ vated by concrete problems of applications. The presence of articles of experts in mathematical physics contributed to this aim. At the end of the volume one can find presented open problems which also point to further course of development in the theory of generalized functions and convergence structures. We are very grateful to Mr. Milan Manojlovic who typed these Proce­ edings with extreme skill and diligence and with inexhaustible patience.

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1.77 MB DATEIGRÖSSE
1461283124 ISBN
Englisch SPRACHE
Generalized Functions, Convergence Structures, and Their Applications.pdf

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Sofia Voigt

Briefly, this chapter has the following structure. ... It is evident if the sequence of functions {$nl converges to zero in ID, then the sequence of ... DF is the derivative of the generalized function (or distributiod h F, and D F is its derivative of order h. ... properties of the convolution and will present some examples of its application. Distributions (or generalized functions) are objects that generalize the classical notion of ... i.e. the topology of uniform convergence of derivatives of arbitrary order. ... The resulting LF space structure on D(U) is the topology described in the ... Benedetto, J.J. (1997), Harmonic Analysis and Applications, CRC Press . Gårding ...

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Matteo Müller

Contents. 1. The space of generalized functions on Rn. 2 ... application. 75. 12. ... Note that this integral converges as φ vanishes outside of K, and f|K,φ|K ∈ L1.

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Noel Schulze

International Conference "Generalized Functions, Convergence Structures and Their Applications" ID:DA0314551X. 別名. Conference "Generalized Functions, Convergence Structures and Their Applications" International. GFCA-87 (1987 : Dubrovnik, Croatia) 同姓同名の著者を検索. 検索結果 1件中 1-1 を表示 すべて選択: 1. Generalized functions, convergence structures, …

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Jason Lehmann

nonlinear generalized functions” that are needed to model the real world, which ... the real world. Finally we present direct applications of the theory ... electrons increases but they remain able to maintain the cristalline structure of the metal. The objective of this introduction to Colombeau algebras of ... multiplied) is to explain in elementary terms the essential concepts necessary for their application to basic non-linear problems in classical physics. ... Colombeau theory of generalized function with Leibniz's rule ... Mathematical Modeling of Marine Structures.

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Jessica Kohmann

This Proceedings consists of a collection of papers presented at the International Conference "Generalized functions, convergence structures and their applications" held from June 23-27, 1987 in Read more Generalized Functions, Convergence Structures, …