Author: Guido L. Weiss
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages :
Book Description
Harmonic Analysis in Euclidean Spaces
Author: Guido Weiss
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
Book Description
Harmonic Analysis in Euclidean Spaces
Author: Guido L. Weiss
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages :
Book Description
Harmonic Analysis in Euclidean Spaces
Author: Guido Weiss
Publisher: American Mathematical Soc.
ISBN:
Category : Generalized spaces
Languages : en
Pages : 498
Book Description
Publisher: American Mathematical Soc.
ISBN:
Category : Generalized spaces
Languages : en
Pages : 498
Book Description
Harmonic Analysis in Euclidean Spaces, Part 1
Author: Guido Weiss
Publisher: American Mathematical Soc.
ISBN: 0821814362
Category : Generalized spaces
Languages : en
Pages : 488
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821814362
Category : Generalized spaces
Languages : en
Pages : 488
Book Description
Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32
Author: Elias M. Stein
Publisher: Princeton University Press
ISBN: 140088389X
Category : Mathematics
Languages : en
Pages : 312
Book Description
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Publisher: Princeton University Press
ISBN: 140088389X
Category : Mathematics
Languages : en
Pages : 312
Book Description
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Analysis in Euclidean Space
Author: Kenneth Hoffman
Publisher: Courier Dover Publications
ISBN: 0486833658
Category : Mathematics
Languages : en
Pages : 449
Book Description
Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set theory.
Publisher: Courier Dover Publications
ISBN: 0486833658
Category : Mathematics
Languages : en
Pages : 449
Book Description
Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set theory.
Harmonic Analysis in Euclidean Spaces, Part 2
Author: Guido Weiss
Publisher: American Mathematical Soc.
ISBN: 0821814389
Category : Mathematics
Languages : en
Pages : 448
Book Description
Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, and Lie groups and functional analysis.
Publisher: American Mathematical Soc.
ISBN: 0821814389
Category : Mathematics
Languages : en
Pages : 448
Book Description
Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, and Lie groups and functional analysis.
Harmonic Analysis in Euclidean Spaces
Author: Guido Weiss
Publisher:
ISBN:
Category :
Languages : en
Pages : 438
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 438
Book Description
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Author: Audrey Terras
Publisher: Springer Science & Business Media
ISBN: 146147972X
Category : Mathematics
Languages : en
Pages : 430
Book Description
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Publisher: Springer Science & Business Media
ISBN: 146147972X
Category : Mathematics
Languages : en
Pages : 430
Book Description
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Harmonic Analysis in Euclidean Spaces
Author: Guido L. Weiss
Publisher:
ISBN:
Category :
Languages : en
Pages : 438
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 438
Book Description