Operational calculus (Q1147936)

scientific article; zbMATH DE number 3705216

Language	Label	Description	Also known as
English	Operational calculus	scientific article; zbMATH DE number 3705216

Statements

instance of

scholarly article

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title

Operational calculus (English)

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Journal of Soviet Mathematics

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publication date

1981

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zbMATH Keywords

Bibliography

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bibliography

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literature on operational calculus

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Mikusinski's operational calculus

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operator differential equations

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convergence of operator series

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generalized functions in operational calculus

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Bessel- type operators

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multidimensional operational calculus

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Calculus of ordered operators on a factor algebra

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Q4069248

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Application of the method of ordered operators to obtain exact solutions

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Quasi-invertibility of functions of ordered operators in the theory of pseudodifferential equations

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Some operational formulas

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Q5591031

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Über die Quotientenbildung von Schiefringen

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Q5719629

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Asymptotische Auffassung der Operatorenrechnung

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Iterative Berechnung der <scp>Tschebyscheff</scp>schen Alternante für quadratische Polynome

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Q5522583

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Zum Problem der Operatorfunktionen mit verschwindender Ableitung

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Q5665668

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Asymptotische Einschließung von Lösungen expliziter Operatordifferentialgleichungen

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Q5669342

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Über die Struktur der Lösungen homogener Operatorgleichungen

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Q4096978

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Zur Umkehrung „periodischer” Operatoren

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Evaluation of the Excessive Initial Values in the Twodimensional Operational Calculus

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Lösung der linearen Differentialgleichung durch Transformation in einen Schiefkörper

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Operatorenrechnung auf funktionalanalytischer Grundlage

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Operatoren verallgemeinerter Funktionen

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Q5584898

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Linear Equations with an Operator Polynomial on the Left Side

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On continuous endomorphisms of Mikusinski's operator field

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On approximate solutions to the convolution equation on the half-line

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Continuity and Perfect Operators

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On sequences of continuous functions and convolution

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Convergence of Positive Functions in the Space on Mikusinski Operators

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The Convolution Integral

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On power series in the differentiation operator

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The Mikusinski Operators as a Topological Space

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Generalized Functions on the Unit Circle

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Q4129282

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Q4089313

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A Division Algebra for Sequences and Its Associated Operational Calculus

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Quasi-Inverses of Sequences

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The Convolution Ring of Sequences

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The Algebraic Derivative of Mikusinski

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Q5336681

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Some Operational Formulas

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Q5571886

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New theorems of association of variables in multiple dimensional Laplace transform

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A Proof of a Theorem of Widder Based on the Mikusinski Calculus

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The representation of functions as Laplace transforms

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Laplace Transformations of Distributions

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Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels

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Certain Theorems in Operational Calculus

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Q5584177

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Q5595741

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Q4090848

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Further theory of operational calculus on discrete analytic functions

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Isomorphism of the quotient fields, generated by Bessel‐type differential operators

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The operational calculus of bessel operators

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A Representation of Linear Continuous Operators on Testing Functions and Distributions

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Basic properties of discrete analytic functions

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A convolution product for discrete function theory

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Q5531338

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Q5545782

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A note on the derivations of Mikusiński's operator field

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Q4776359

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Remark on Certain Convolution Transforms

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Q5632997

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Q5573508

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A Difference Method for Obtaining Z-Transforms

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A Survey of the Development of Operational Calculus

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Q5730307

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Q5573731

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Q5607429

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An Operational Calculus for Meromorphic Functions

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Q3855667

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Q5522581

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Q5580570

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An Operational Method in Partial Differential Equations

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Operators of discrete analytic functions

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Operators of discrete analytic functions and their application

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Q5508533

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Q5618673

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Generalized Translations Associated with a Differential Operator

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Measure algebras associated with a second order differential operator

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Charakterisierung der Quotienten in der zweidimensionalen diskreten Operatorenrechnung

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Operatorenrechnung für Funktionen einer stetigen und einer diskreten Variablen

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Q5524465

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Q5625602

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Über die Struktur der rationalen Operatoren in der zweidimensionalen diskreten Operatorenrechnung

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Q4150665

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Une remarque sur les logarithmes unilatéraux

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On operational calculus of germs and the Laplace transform of germs

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Association of variables in<i>n</i>-dimensional Laplace transform

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Q5522580

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Ratios of Laplace transforms, Mikusinski operational calculus

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Q5590294

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Linear operators and operational calculus. Part I

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An algebra of generalized functions on an open interval; two-sided operational calculus

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An algebra of generalized functions on an open interval; two-sided operational calculus

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Q4049622

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The Periodic Part of the Response to a Periodic Excitation

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Q4084800

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Bemerkungen zur Meijer‐Transformation und Anwendungen

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Q5553528

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Differentiationssätze der ℒ‐Transformation und Differentialgleichungen nach dem Operator \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{d}{dt} t^{\frac{1}{n}-v} \left( t^ {1-\frac{1}{n}} \frac{d}{dt}\right)^{n-1} t^{v+1-\frac{2}{n}} $\end{document}

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Übertragung der P<scp>OST</scp>‐W<scp>IDDER</scp>schen Umkehrformel der Laplace‐Transformation auf die ℒ‐Transformation

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The multiplier problem

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Q5614923

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Asymptotic Inversion of Laplace Transforms: A Class of Counterexamples

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Q5730374

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Eine nichtkommutative Operatorenrechnung und ihre Anwendung auf Differentialgleichungen der Physik

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Q5625717

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Q5542461

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Q5552445

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The Laguerre Transform

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Q5725919

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Convolution Products and Quotients and Algebraic Derivatives of Sequences

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A Division Algebra for Sequences Defined on all the Integers

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Algebraic basis of Heaviside operational calculus

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Complex Number Algebra as a Simple Case of Heaviside Operational Calculus

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Q5611272

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Operants: A Functional Calculus for Non-Commuting Operators

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An Application of the Generating Function to Differential Equations

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Q5526450

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A Generalization of a Commutator Theorem of Mikusinski

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Eine verallgemeinerte LAPLACE-Transformation für spezielle Differentiationsringe mit Anwendungen auf lineare Differentialgleichungen mit Polynomkoeffizienten

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Q5680573

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Q5179916

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Inversion of a Convolution Transform Related to Heat Conduction

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Q5569780

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Q5654437

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Algebraic theory of right invertible operators

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Operatorenrechnung und Hadamardscher Partie finie

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Q5565426

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Bemerkungen zur "algebraischen" Exponentialfunktion im Mikusiński'schen Operatorenkörper

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Q5669772

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Funktionentheoretische Untersuchungen im M<scp>IKUSIŃSKI</scp>schen Operatorenkörper

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Q5807840

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Q5541571

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Über eine spezielle zweidimensionale Operatorenrechnung mit einem krummlinig begrenzten Grundbereich

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The Operational Calculus of Heaviside

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Q5601677

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Operator linear differential equation of order m

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Zur funktionentheoretischen Auffassung der MIKUSIŃSKISchen Operatorenrechnung

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A Genuine Topology for the Field of Mikusiński Operators

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On Operators and Distributions

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An algebraic view of distributions and operators

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Operator homomorphisms

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Q4043601

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A two-sided operational calculus

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Linear Transformations in the Operational Calculus

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Analytical and Algebraic Aspects of the Operational Calculus

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The Numerical-Valued Fourier Transform in the Two-Sided Operational Calculus

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A generalized function calculus based on the Laplace transform

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Convolution multipliers

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Q3868279

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Q5553530

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Generalized Sequences with Applications to the Discrete Calculus

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Q5595817

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Q5660135

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Q3213650

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Titchmarsh's Theorem for Analytic Functions

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Application of q-Laplace transform to the solution of certain q-integral equations

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An extension of the Laplace-transform calculus

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Operational calculus and generalized functions

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Characterizations of Laplace transforms and perfect operators

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Positive Perfect Operators

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Distributionen und Operatoren

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Über die Einbettung von Gelfand-Roumieuschen Distributionen in den Mikusinskischen Operatorenkörper

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Über lineare $s$-Differentialgleichungen in der Operatorenrechnung

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On Maslov's canonical operator

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Q5601745

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full work available at URL

https://doi.org/10.1007/bf01377044

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Identifiers

zbMATH Open document ID

0451.44003

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DOI

10.1007/BF01377044

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1147936