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Generalized Functions, Convergence Structures, and Their Applications

Author: Bogoljub Stanković; Endre Pap; Stevan Pilipović; Vasilij S Vladimirov
Publisher: Boston, MA : Springer US, 1988.
Edition/Format:   eBook : Bibliographic data : EnglishView all editions and formats
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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...

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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bogoljub Stanković; Endre Pap; Stevan Pilipović; Vasilij S Vladimirov
ISBN: 9781461310556 1461310555 9781461283126 1461283124
OCLC Number: 840281277
Description: 1 online resource (464 pages)
Contents: Section I. Plenary Lectures --
Nonharmonic solutions of the Laplace equation --
Generalized functions; multiplication of distributions; applications to elasticity, elastoplasticity, fluid dynamics and acoustics --
Monads and convergence --
Simple applications of generalized functions in theoretical physics: the case of many-body perturbation expansions --
Laplace transforms of hyperfunctions: another foundation of the Heaviside operational calculus --
S-asymptotic of distributions --
The Wiener-Hopf equation in the Nevanlinna and Smirnov algebras and ultradistributions --
Section II. Generalized Functions --
On nonlinear systems of ordinary differential equations --
A new construction of continuous endomorphisms of the operator field --
Some comments on the Burzyk-Paley-Wiener theorem for regular operators --
Two theorems on the differentiation of regular convolution quotients --
Values on the topological boundary of tubes --
Abelian theorem for the distributional Stieltjes transformation --
Some results on the neutrix convolution product of distributions --
On generalized transcedental functions and distributional transforms --
An algebraic approach to distribution theories --
Products of Wiener functionals on an abstract Wiener space --
Convolution in K'{Mp}-spaces --
The problem of the jump and the Sokhotski formulas in the space of generalized functions on a segment of the real axis --
A generalized fractional calculus and integral transforms --
On the generalized Meijer transformation --
The construction of regular spaces and hyperspaces with respect to a particular operator --
Operational calculus with derivative? = S2 --
Solvability of nonlinear operator equations with applications to hyperbolic equations --
Some important results of distribution theory --
Hyperbolic systems with discontinuous coefficients: examples --
Estimations for the solutions of operator linear differential equations --
Invariance of the Cauchy problem for distribution differential equations --
On the space $$\upsilon _{{\text{L}}̂{\text{q}} }̂{\prime\, ̂{\left({{\text{M}}_{\text{p}} } \right)} } $$, q? [1,?] --
Peetre's theorem and generalized functions --
Infinite dimensional Fock spaces and an associated generalized Laplacian operator --
The n-dimensional Stieltjes transformation --
Colombeau's generalized functions and non-standard analysis --
One product of distributions --
Abel summability for a distribution sampling theorem --
On the value of a distribution at a point --
Section III. Convergence Structures --
On interchange of limits --
Countability, completeness and the closed graph theorem --
Inductive limits of Riesz spaces --
Convergence completion of partially ordered groups --
Some results from nonlinear analysis in limit vector spaces --
Completions of Cauchy vector spaces --
Regular inductive limits --
Weak convergence in a K-space --
The Banach-Steinhaus theorem for ordered spaces --
Section IV. Open Problems --
Open problems --
Participants.
Responsibility: edited by Bogoljub Stanković, Endre Pap, Stevan Pilipović, Vasilij S. Vladimirov.

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