Generalized Functions, Convergence Structures, and Their Applications

Stanković, Bogoljub; Pap, Endre; Pilipović, Stevan; Vladimirov, Vasilij S.

Generalized Functions, Convergence Structures, and Their Applications

Edited by Bogoljub Stanković, Endre Pap, Stevan Pilipović and Vasilij S. Vladimirov

in Springer Books from Springer

Date: 1988
ISBN: 978-1-4613-1055-6
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Chapters in this book:

Nonharmonic Solutions of the Laplace Equation: Jozef Burzyk
Generalized Functions; Multiplication of Distributions; Applications to Elasticity, Elastoplasticity, Fluid Dynamics and Acoustics: J. F. Colombeau
Monads and Convergence: Werner Gähler
Simple Applications of Generalized Functions in Theoretical Physics: The Case of Many–Body Perturbation Expansions: H. F. G. Keiter
Laplace Transforms of Hyperfunctions: Another Foundation of the Heaviside Operational Calculus: Hikosaburo Komatsu
S-Asymptotic of Distributions: Bogoljub Stanković
The Wiener-Hopf Equation in the Nevanlinna and Smirnov Algebras and Ultra-Distributions: V. S. Vladimirov
On Nonlinear Systems of Ordinary Differential Equations: Lothar Berg
A New Construction of Continuous Endomorphisms of the Operator Field: A. Bleyer
Some Comments on the Burzyk-Paley-Wiener Theorem for Regular Operators: Thomas K. Boehme
Two Theorems on the Differentiation of Regular Convolution Quotients: Thomas K. Boehme
Values on the Topological Boundary of Tubes: Richard D. Carmichael
Abelian Theorem for the Distributional Stieltjes Transformation: Danica Nikolić-Despotović and Stevan Pilipović
Some Results on the Neutrix Convolution Product of Distributions: Brian Fisher
On Generalized Transcedental Functions and Distributional Transforms: A. N. Goyal and V. K. Chaturvedi
An Algebraic Approach to Distribution Theories: J. de Graaf and A. F. M. ter Elst
Products of Wiener Functionals on an Abstract Wiener Space: Shiro Ishikawa
Convolution in K’ {Mp}-Spaces: A. Kamiński and J. Uryga
The Problem of the Jump and the Sokhotski Formulas in the Space of Generalized Functions on a Segment of the Real Axis: L. V. Kartashova and V. S. Rogozhin
A Generalized Fractional Calculus and Integral Transforms: Virginia Kiryakova
On the Generalized Meijer Transformation: E. L. Koh, E. Y. Deeba and M. A. Ali
The Construction of Regular Spaces and Hyperspaces with Respect to a Particular Operator: G. Liu
Operational Calculus with Derivative Ŝ = S2: Eligiusz Mieloszyk
Solvability of Nonlinear Operator Equations with Applications to Hyperbolic Equations: P. S. Milojević
Some Important Results of Distribution Theory: O. P. Misra
Hyperbolic Systems with Discontinuous Coefficients: Examples: Michael Oberguggenberger
Estimations for the Solutions of Operator Linear Differential Equations: Endre Pap and Đurđica Takači
Invariance of the Cauchy Problem for Distribution Differential Equations: Jan Persson
On the Space $$\upsilon _{{\text{L}}^{\text{q}} }^{'\,^{\left( {{\text{M}}_{\text{p}} } \right)} } $$, q ∈ [1,∞]: S. Pilipović
Peetre’s Theorem and Generalized Functions: J. W. de Roever
Infinite Dimensional Fock Spaces and an Associated Generalized Laplacian Operator: John Schmeelk
The n-Dimensional Stieltjes Transformation: Arpad Takači
Colombeau’s Generalized Functions and Non-Standard Analysis: T. D. Todorov
One Product of Distributions: Miloš Tomić
Abel Summability for a Distribution Sampling Theorem: Gilbert G. Walter
On the Value of a Distribution at a Point: Ryszard Wawak
On Interchange of Limits: Piotr Antosik
Countability, Completeness and the Closed Graph Theorem: R. Beattie and H.-P. Butzmann
Inductive Limits of Riesz Spaces: Wolfgang Filter
Convergence Completion of Partially Ordered Groups: Isidore Fleischer
Some Results from Nonlinear Analysis in Limit Vector Spaces: Olga Hadžić
Completions of Cauchy Vector Spaces: D. C. Kent and G. D. Richardson
Regular Inductive Limits: Jan Kucera
Weak Convergence in a K-Space: Endre Pap
The Banach-Steinhaus Theorem for Ordered Spaces: Charles Swartz
Open Problems: P. Antosik and J. Burzyk

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DOI: 10.1007/978-1-4613-1055-6

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