Generalized Functions, Convergence Structures, and Their Applications
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...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer US
1988, 1988
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| Edition: | 1st ed. 1988 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Invariance of the Cauchy problem for distribution differential equations
- On the space
- 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 withdiscontinuous coefficients: examples
- Estimations for the solutions of operator linear differential equations