Function Spaces and Inequalities, Pankaj Jain; Hans-J?rgen Schmeisser

Автор: B. Malcolm Brown; Jan Lang; Ian G. Wood
Название: Spectral Theory, Function Spaces and Inequalities
ISBN: 3034807600 ISBN-13(EAN): 9783034807609
Издательство: Springer
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Описание: This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory.

Автор: Michael Cwikel; Jaak Peetre; Yoram Sagher; Hans E.
Название: Function Spaces and Applications
ISBN: 354018905X ISBN-13(EAN): 9783540189053
Издательство: Springer
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Описание: Emphasizes historical roots of interpolation spaces. This book features a lecture on the life of Marcel Riesz.

Автор: David E. Edmunds; William D. Evans
Название: Hardy Operators, Function Spaces and Embeddings
ISBN: 3642060277 ISBN-13(EAN): 9783642060274
Издательство: Springer
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Описание: Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

Автор: Diarmuid ?`Math?na
Название: Mechanics, Boundary Layers and Function Spaces
ISBN: 1461289092 ISBN-13(EAN): 9781461289098
Издательство: Springer
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Описание: Concern with the class of problems investigated in this monograph began for me as a graduate student at MIT (1958-62) when serving as research assistant to Professor Eric Reissner who initiated me into the subject and whose influence - whether directly or dialectically - is probably discernable in the contours of the work. My fIrst attempt at a systematic derivation of the equations of shell theory was made while on a summer assistantship with Professor Norman Levinson in 1960. Beyond gaining a sobering reali- zation of the complexities involved, I made little progress at that time. In 1962-64 while a Temporary Member at the Courant Institute of Mathematical Sciences (NYU) I made a fresh start, while benefIting from my association and discus- sions with Professor Fritz John. With the conviction that the full integration of the equations with respect to the thickness coordinate, by means of the Legendre repre- sentations, must lead to a clarifIcation of the position of the two-dimensional theory in its three-dimensional context, the necessary computations were completed during that period. Several years passed while I became reconciled with the thought that the material needed to be organized as a monograph. This was done during 1969-70 while at the NASA Electronics Research Center in Cambridge, MA.

Автор: Eisner
Название: Operator Theory, Function Spaces, and Applications
ISBN: 3319313819 ISBN-13(EAN): 9783319313818
Издательство: Springer
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Описание: This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.

Автор: Mohamed A. Khamsi; Wojciech M. Kozlowski
Название: Fixed Point Theory in Modular Function Spaces
ISBN: 3319346350 ISBN-13(EAN): 9783319346359
Издательство: Springer
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Описание: This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces.

Автор: Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Название: Frames and Other Bases in Abstract and Function Spaces
ISBN: 3319555499 ISBN-13(EAN): 9783319555492
Издательство: Springer
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Описание: Frames: Theory and Practice.- Dynamical Sampling and Systems from Iterative Actions of Operators.- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling.- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators.- Computing the Distance between Frames and between Subspaces of a Hilbert Space.- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks.- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings.- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation.- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging.- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions.- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions.- Multiscale Radial Basis Functions.- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings.- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians.- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels.- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case.- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds.

Автор: Vakhtang Kokilashvili; Alexander Meskhi; Humberto
Название: Integral Operators in Non-Standard Function Spaces
ISBN: 3319210173 ISBN-13(EAN): 9783319210179
Издательство: Springer
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Описание: This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Holder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them.

The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria.

The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.