Fourier Meets Hilbert and Riesz: An Introduction to the Corresponding Transforms, Rene Erlin Castillo

Автор: Vasudeva, Harkrishan Lal
Название: Elements of hilbert spaces and operator theory
ISBN: 9811030197 ISBN-13(EAN): 9789811030192
Издательство: Springer
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Цена: 121110.00 T
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Описание: Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed.

Автор: Alexander Ya. Shklyar
Название: Complete Second Order Linear Differential Equations in Hilbert Spaces
ISBN: 3764353775 ISBN-13(EAN): 9783764353773
Издательство: Springer
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Цена: 121070.00 T
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Описание: Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a part of functional analysis. This monograph presents a unified systematic theory of second order equations y" (t) + Ay` (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems.

Автор: Stein, Elias M. Shakarchi, Rami
Название: Real analysis
ISBN: 0691113866 ISBN-13(EAN): 9780691113869
Издательство: Wiley
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Цена: 97150.00 T
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Описание: Intended for the students interested in the disciplines of mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels, this third volume in a series of titles focuses on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals.

Автор: Harkrishan Lal Vasudeva
Название: Elements of Hilbert Spaces and Operator Theory
ISBN: 9811097658 ISBN-13(EAN): 9789811097652
Издательство: Springer
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Цена: 149060.00 T
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Описание: Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed.

Автор: Alpay, Daniel
Название: Advanced complex analysis problem book
ISBN: 3319160583 ISBN-13(EAN): 9783319160580
Издательство: Springer
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Цена: 65210.00 T
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Описание: This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space.

Автор: Dyke Phil
Название: Introduction to Laplace Transforms and Fourier Series
ISBN: 144716394X ISBN-13(EAN): 9781447163947
Издательство: Springer
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Цена: 32600.00 T
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Описание: This advanced undergraduate/graduate textbook provides an easy-to-read account of Fourier series, wavelets and Laplace transforms. It features many worked examples with all solutions provided.

Автор: Rouhani, Behzad Djafari
Название: Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces
ISBN: 0367780127 ISBN-13(EAN): 9780367780128
Издательство: Taylor&Francis
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Цена: 48990.00 T
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Описание: This book deals with first and second order evolution and difference monotone type equations. The approach followed in the book was first introduced by Dr. Djafari-Rouhani, and later advanced by him along with Dr. Khatibzadeh.

Автор: Elemer E. Rosinger
Название: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 0792352327 ISBN-13(EAN): 9780792352327
Издательство: Springer
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Цена: 88500.00 T
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Описание: Presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This volume is addressed to graduate students involved in solving linear and nonlinear partial differential equations, and in particular, dealing with the Lie group symmetries of their classical or generalised solutions.

Автор: Christensen Ole
Название: An Introduction to Frames and Riesz Bases
ISBN: 3319798146 ISBN-13(EAN): 9783319798141
Издательство: Springer
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Цена: 74530.00 T
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Описание: Frames in Finite-dimensional Inner Product Spaces.- Infinite-dimensional Vector Spaces and Sequences.- Bases.- Bases and their Limitations.- Frames in Hilbert Spaces.- Tight Frames and Dual Frame Pairs.- Frames versus Riesz Bases.- Selected Topics in Frame Theory.- Frames of Translates.- Shift-Invariant Systems in l2(R).- Gabor Frames in L2(R).- Gabor Frames and Duality.- Selected Topics on Gabor Frames.- Gabor Frames in ℓ2(Z), L2(0, L), CL.- General Wavelet Frames in L2(R).- Dyadic Wavelet Frames for L2(R).- Frame Multiresolution Analysis.- Wavelet Frames via Extension Principles.- Selected Topics on Wavelet Frames.- Generalized Shift-Invariant Systems in L2(Rd).- Frames on Locally Compact Abelian Groups.- Perturbation of Frames.- Approximation of the Inverse Frame Operator.- Expansions in Banach Spaces. Append

Автор: Christensen
Название: An Introduction to Frames and Riesz Bases
ISBN: 3319256114 ISBN-13(EAN): 9783319256115
Издательство: Springer
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Цена: 74530.00 T
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Описание: This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems.  Compared with the first edition, more emphasis is put on explicit constructions with attractive properties.  Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include:*Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs included in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems* Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further reading* Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition:'Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field … . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research.'   — Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005 

Автор: Jim Agler, John Edward McCarthy, Nicholas John Young
Название: Operator Analysis: Hilbert Space Methods in Complex Analysis
ISBN: 1108485448 ISBN-13(EAN): 9781108485449
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Автор: Jaye, Benjamin Nazarov, Fedor Reguera, Maria Carmen Tolsa, Xavier
Название: Riesz transform of codimension smaller than one and the wolff energy
ISBN: 1470442132 ISBN-13(EAN): 9781470442132
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Нет в наличии.
Описание: Fix $d\geq 2$, and $s\in (d-1,d)$. The authors characterize the non-negative locally finite non-atomic Borel measures $\mu $ in $\mathbb R^d$ for which the associated $s$-Riesz transform is bounded in $L^2(\mu )$ in terms of the Wolff energy. This extends the range of $s$ in which the Mateu-Prat-Verdera characterization of measures with bounded $s$-Riesz transform is known. As an application, the authors give a metric characterization of the removable sets for locally Lipschitz continuous solutions of the fractional Laplacian operator $(-\Delta )^\alpha /2$, $\alpha \in (1,2)$, in terms of a well-known capacity from non-linear potential theory. This result contrasts sharply with removability results for Lipschitz harmonic functions.