2 edition of **Generalized translation operators and some of their applications** found in the catalog.

Generalized translation operators and some of their applications

Boris Moiseevich Levitan

- 186 Want to read
- 31 Currently reading

Published
**1964** by Israel Program for Scientific Translations in Jerusalem .

Written in English

- Calculus, Operational.,
- Harmonic analysis.,
- Functional analysis.

**Edition Notes**

Statement | [by] B.M. Levitan. Translated from Russian [by Z. Lerman]. |

Classifications | |
---|---|

LC Classifications | QA432 .L3873 |

The Physical Object | |

Pagination | v, 200 p. |

Number of Pages | 200 |

ID Numbers | |

Open Library | OL5934650M |

LC Control Number | 65001112 |

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Generalized translation operators and some of their applications. Jerusalem, Israel Program for Scientific Translations, (OCoLC) Online version: Levitan, Boris Moiseevich. Generalized translation operators and some of their applications. Jerusalem, Israel Program for Scientific Translations, (OCoLC) Document Type: Book.

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We study properties of generalized translation operators and their relations with the associated Markov processes. Some relations between a Levitan family of generalized translation operators and. This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, P m,n κ (z) and Q m,n κ (z), which are important representatives of the hypergeometric functions.

They occur as generalizations of classical Legendre functions of the first and the second kind respectively. B.M. Levitan, Generalized Translation Operators and Some of Their Applications (Nauka, Moscow, ) (in Russian) zbMATH Google Scholar 7.

V.A. Kakichev, On the convolutions for integral by: 1. The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by. Generalized translation operators associated with a singular differential operator The application of generalized displacement operators to linear differential equations of the second order, Translation no.

59, Amer. Math. Soc. Generalized translation operators and some of their applications, Jerusalem, Google Scholar [16 Cited by: nekotorye ikh primeneniya" (Generalized translation operators and some of their applications).

A major part of this book is devoted to new results recently obtained by Levitan, in particular a proof of the analogue of Lie' s theorem for generalized-translation operators. The research productivity and energy of Β.Μ. Levitan are very high.

Using the Sampling Theorem, we also get generalized Bernstein inequalities and real Paley– Wiener type theorems for difference operators acting on Bernstein functions. Finally, some of the results on the torus can be generalized to compact Lie groups, using invariant differential operators and a certain Weyl group invariant difference File Size: KB.

Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases. Due to the complicated form of the kernel and weight function in the convolution, it is even harder to design high order numerical methods for differential equations with generalized fractional : Qinwu Xu, Zhoushun Zheng.

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Inverse Sturm-Liouville Problems and Their Applications G. Freiling,V. Yurko — Mathematics. This book provides a broad introduction to the generalized inverses, Moore–Penrose inverses, Drazin inverses and T–S outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional.

This subject has many applications in operator theory, operator algebras, global analysis and approximation theory and so on. Purchase Generalized Functions - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. Cheng, Raymond Mashreghi, Javad and Ross, William T. Birkhoff–James Orthogonality and the Zeros of an Analytic Function. Computational Methods and Function Theory, Vol. 17, Issue.

3, p. Cited by: Some results of classical power series are circulated and proved to this new form. • A new general form of the generalized Taylor’s formula is also obtained.

• Applications including fractional power series solutions for FDEs are analyzed. • Results reveal that, the Cited by: Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications Zemanian, A.H. The General Solution of a Homogeneous Linear.

Applications have to be submitted to the Writers' House of Georgia by the CEO or trustee of the publishing house; The application form is available on the website: ; Foreign publishing houses have to submit electronic version of applications in English to: [email protected] This chapter discusses some new applications of Popov's frequency-domain method.

The first results on frequency domain stability criteria for nonlinear reactor models were obtained by Popov. Kappel and Di Pasquantonio considered a general model for the uncontrolled nuclear reactor and by using a Liapunov functional obtained a condition of.

AbstractIn the paper, we derive a formula of integration by parts for the left-sided Hilfer derivative. Moreover, we present a formula of such a type for the right-sided Hilfer derivative.

These results generalize the well-known rules of integration by parts for the Riemann–Liouville and Caputo derivatives. Finally, we use these rules to investigate some boundary value problems involving Author: Rafał Kamocki. 'This book provides various new topics on Matrix Analysis and Applications, which are not covered by some popular books on matrix analysis and computation.

The text is well written, easy to be understood. There are several classical books on matrix analysis and computation on my bookshelf. But I will be happy to have this book on my bookshelf too.'Cited by: We present a general method of operational nature to obtain solutions for several types of differential equations.

Methodology of inverse differential operators for the solution of differential equations is developed. We apply operational approach to construct inverse differential operators and develop operational identities, involving inverse derivatives and generalized families of orthogonal.

Rekha Srivastava, Nak Eun Cho, Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials, Applied Mathematics and Cited by: Kafka’s haunting story is a century old this year. Numerous translations have re-shaped it into English, but which is the most successful.

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The picture fuzzy set (PFS) has three degrees and has more freedom to express cognitive information. In addition, Archimedean t-conorm and t-norm (ATT) can generalize Author: Min Feng, Yushui Geng. We present a general method of operational nature to analyze and obtain solutions for a variety of equations of mathematical physics and related mathematical problems.

We construct inverse differential operators and produce operational identities, involving inverse derivatives and families of generalised orthogonal polynomials, such as Hermite and Laguerre polynomial by: F. Berisha, Approximating the classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials IV, Kërkime, ASHAK, 15 (), Prishtinë, Go to the top.

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We refer the interested reader to [65] for more details about wavelets and their applications. Despite their success, wavelets are not very effective when dealing with Cited by: Abstract The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers.

This paper is the extension of the paper [15], in which Durrmeyer type generalization of q-Baskakov-Stancu type operators were discussed by using the concept of q-integral Cited by: 1.

The General Theory of the Translation Company condenses decades of combined experience in an easily digestible and entertaining format. Just like this back-of-the-book-summary, it does not provide all the answers.

It teaches us how to ask better questions and to have more meaningful conversations about language services/5(15). - Part III: Direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators.

The authors conclude with a discussion of the Hohenberg-Kohn variational principle. They deal with spectral and perturbation theory of linear operators in indefinite inner product spaces and their applications.

The topics include extension theory of symmetric operators, normal operators, realization theory and models of generalized Nevanlinna functions, interpolation problems, reproducing kernel spaces, matrix and operator. This book is intended for a one or two semester course in compiling theory at the senior or graduate level.

It is a theoretically oriented treatment of a practical subject. Our motivation for making it so is threefold.

Table of Contents 1 Introduction.- 2 The setting.- 3 Relative untwisted vertex operators.- 4 Quotient vertex operators.- 5 A Jacobi identity for relative untwisted vertex operators.- 6 Generalized vertex operator algebras and their modules.- 7 Duality for generalized vertex operator algebras.- 8 Monodromy representations of braid groups.- 9 Generalized vertex algebras and duality.- 10 Tensor Author: Chongying Dong.

Explicit expressions for the action of these operators on the initial condition function g(x) can be obtained by integral transforms, series expansions, and operational technique to be evaluated in every special formulation, simple in its essence, nevertheless has wide application and allows us to frame either some of integrodifferential equations in this by: Invariant subspaces of H2(T2) and L2(T2) preserving compatibility Zbigniew Burdak University of Agriculture of Krakow, Poland E-mail address: [email protected] Abstract It is well known that the operator of multiplication Tz on the Hardy space H2(T) is the model of a unilateral shift of multiplicity one, has no nontrivial reducing subspaces and, by the Beurling result, purely invariant.

If time allows, some other topics can be studied, such as: more results on generalized Fourier transforms and translation operators in relation to Cli ord algebras (see [9, 6]), relation with the Dirac operator in the Hecke algebra and Vogan’s conjecture (see [1]), etc. References [1] D.

Barbasch, D. Ciubotaru, P. Trapa, Dirac cohomology. David Mustard made many important contributions to the theory of the fractional Fourier transform which we have documented in our book. He was kind enough to send me his difficult to obtain publications and some elegantly handwritten notes, and to comment on substantial parts of.

is translation invariant, TEc= EcT, where Ec: f(x) 7!f(x+ c) is the operator translating by c. The generalized version does not have this property. Translation invariance, however, is an important feature in many applications. The applications we have in mind are usually the solutions to recursive equa-tions.

translation, considering their greater relevance to BBT translator's needs. We hope that this book will be useful for those who desire to improve the quality of their translation work; that it will suggest to them solutions to long-standing problems, give them a proper perspective on the activityFile Size: KB.

A general form of the generalized Taylor’s formula with some applications This branch of mathematical analysis, extensively investigated in the recent years, has emerged as an effective and powerful tool for the mathematical modeling of several engineering and scientific phenomena.If you answered yes, no, or maybe to zero or more of the above questions, then this, my friend, is the book for you!

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Just like this back-of-the-book-summary, it does not provide all the answers.