Generalized Harmonic Analysis and Tauberian Theorems

Generalized Harmonic Analysis and Tauberian Theorems PDF Author: Norbert Wiener
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 242

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Generalized Harmonic Analysis and Tauberian Theorems

Generalized Harmonic Analysis and Tauberian Theorems PDF Author: Norbert Wiener
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 242

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Spectral Synthesis

Spectral Synthesis PDF Author:
Publisher: Academic Press
ISBN: 0080873820
Category : Mathematics
Languages : en
Pages : 284

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Spectral Synthesis

Tauberian Theory

Tauberian Theory PDF Author: Jacob Korevaar
Publisher: Springer Science & Business Media
ISBN: 3662102250
Category : Mathematics
Languages : en
Pages : 497

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Book Description
Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.

Generalized Harmonic Analysis and Tauberian Theorems

Generalized Harmonic Analysis and Tauberian Theorems PDF Author: Norbert Wiener
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 242

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Book Description


Four Short Courses on Harmonic Analysis

Four Short Courses on Harmonic Analysis PDF Author: Brigitte Forster
Publisher: Springer Science & Business Media
ISBN: 0817648909
Category : Mathematics
Languages : en
Pages : 265

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Book Description
Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.

Norbert Wiener, 1894-1964

Norbert Wiener, 1894-1964 PDF Author: Felix E. Browder
Publisher: American Mathematical Soc.
ISBN: 9780821895368
Category : Mathematics
Languages : en
Pages : 158

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Book Description
This edition of Volume 72, Number 1, Part II, January 1966, of the Bulletin is dedicated to the memory of Norbert Wiener.

Proceedings of the Norbert Wiener Centenary Congress, 1994

Proceedings of the Norbert Wiener Centenary Congress, 1994 PDF Author: Vidyadhar Mandrekar
Publisher: American Mathematical Soc.
ISBN: 9780821867570
Category : Mathematics
Languages : en
Pages : 622

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Book Description
A mathematician on par with the greatest in the century, Norbert Wiener was a universal thinker of colossal proportions. This book contains the proceedings of the Norbert Wiener Centenary Congress held at Michigan State University on November 27-December 2, 1994. The aim of the Congress was to reveal the depth and strong coherence of thought that runs through Wiener's legacy, and to exhibit its continuation in on-going research. This volume brings together the great minds who have furthered Wiener's ideas in physics, stochastics, harmonic analysis, philosophy, prosthesis and cybernetics. The presentations coherently lay out the developments of the subjects from their inception. This volume provides an excellent pathway for new investigators who may wish to pursue these developments by following the footsteps of world experts. There is no other book available in which experts in the various fields in which Wiener worked have presented his thoughts and contributions insuch a coherent and lucid manner.

A Course in Mathematical Analysis: pt.2. Differential equations. [c1917

A Course in Mathematical Analysis: pt.2. Differential equations. [c1917 PDF Author: Edouard Goursat
Publisher:
ISBN:
Category :
Languages : en
Pages : 628

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Selected Papers of Norbert Wiener

Selected Papers of Norbert Wiener PDF Author: Norbert Wiener
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 472

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Book Description


Morrey Spaces

Morrey Spaces PDF Author: Yoshihiro Sawano
Publisher: CRC Press
ISBN: 0429532024
Category : Mathematics
Languages : en
Pages : 386

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Book Description
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume I focused mainly on harmonic analysis. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding