2 edition of **From Fourier Analysis and Number Theory to Radon Transforms and Geometry** found in the catalog.

- 171 Want to read
- 26 Currently reading

Published
**2013**
by Springer New York, Imprint: Springer in New York, NY
.

Written in English

- Mathematics,
- Combinatorial analysis,
- Partial Differential equations,
- Number theory

**Edition Notes**

Statement | edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, B. A. Taylor |

Series | Developments in Mathematics -- 28 |

Contributions | Gunning, Robert C., Knopp, Marvin I., Taylor, B. A., SpringerLink (Online service) |

Classifications | |
---|---|

LC Classifications | QA370-380 |

The Physical Object | |

Format | [electronic resource] : |

ID Numbers | |

Open Library | OL27039940M |

ISBN 10 | 9781461440758 |

From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis. editor / Hershel Farkas ; Marvin Knopp ; Robert Gunning ; B.A Taylor. pp. (Developments in Mathematics). The articles cover a broad range in harmonic analysis, with the main themes related to integral geometry, the Radon transform, wavelets and frame theory. These themes can loosely be grouped together as follows: Frame Theory and Applications; Harmonic Analysis and Function Spaces; Harmonic Analysis and Number Theory; Integral Geometry and Radon.

with Marvin D. Tretkoff, in from Fourier Analysis and Number Theory to Radon Transforms and Geometry - In memory of Leon Ehrenpreis, eds. H.M. Farkas, R.C. Gunning, M.I. Knopp, B.A. Taylor, Developments in Math., Springer (). Transcendence and CM on Borcea-Voisin towers of . Fourier analysis. We study both Fourier series and Fourier transform together with their applications. The connection with real analysis is intimacy. There are also many unexpected connections of Fourier analysis to wide-ranging mathematical topics such as Number theory, Discrete geometry, Probability theory.

THE RADON AND FOURIER TRANSFORMS: THE MATHEMATICS OF X-RAYS AND CT-SCANS STEVEN HEILMAN Abstract. These notes provide an introduction to the mathematics used in medical imaging. In Section 6 we review the basics of calculus and multivari-able calculus. In Section 2 we introduce Fourier Series, which is a premonitionFile Size: KB. Email to friends Share on Facebook - opens in a new window or tab Share on Twitter - opens in a new window or tab Share on Pinterest - opens in a new window or tabSeller Rating: % positive.

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From Fourier Analysis and Number Theory to Radon Transforms and Geometry In Memory of Leon Ehrenpreis. Editors (view affiliations) combinatorics complex analysis number theory parrallel refractors partial differential equations population biology.

Editors and affiliations. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, Brand: Springer-Verlag New York.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis (Developments in Mathematics) th Edition by Hershel M. Farkas (Editor), Robert C. Gunning (Editor), Marvin I. Knopp (Editor), B. Taylor (Editor) & 1 moreFormat: Hardcover.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis (Developments in Mathematics Book 28) - Kindle edition by Farkas, Hershel M., Gunning, Robert C., Knopp, Marvin I., Taylor, B. Download it once and read it on your Kindle device, PC, phones or : $ From Fourier analysis and number theory to Radon transforms and geometry: in memory of Leon Ehrenpreis Hershel M Farkas, Robert Clifford Gunning, Marvin Knopp, B A Taylor, et al (eds.).

Read "From Fourier Analysis and Number Theory to Radon Transforms and Geometry In Memory of Leon Ehrenpreis" by available from Rakuten Kobo. A memorial conference for Leon Ehrenpreis was held at Temple University, NovemberIn the spirit of Ehrenpre Brand: Springer New York.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry In Memory of Leon Ehrenpreis By (author) Hershel M.

Farkas, Robert C. Gunning, Marvin I. Knopp, B. Taylor. From Fourier Analysis and Number Theory to Radon Transforms and Geometry In Memory of Leon Ehrenpreis. Contents A Biography of Leon Ehrenpreis xiii Yael Nachama (Ehrenpreis) Meyer Cubature Formulas and Discrete Fourier Transform on Compact Manifolds From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis (Developments in Mathematics Book 28) Kindle EditionManufacturer: Springer.

Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel by: 7.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, and B. Taylor, editors Publisher. Buy From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis (Developments in Mathematics) by Hershel M.

Farkas, Robert C. Gunning, Marvin I. Knopp, B. Taylor (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.

Get this from a library. From Fourier analysis and number theory to radon transforms and geometry: in memory of Leon Ehrenpreis.

[Hershel M Farkas; Leon Ehrenpreis;] -- "This publication is an outgrowth of a memorial conference for Leon Ehrenpreis held at Temple University, NovemberIn the spirit of Ehrenpreis's contribution to mathematics, the papers. From fourier analysis and number theory to radon transforms and geometry: in memory of Leon Ehrenpreis.

The articles cover a broad range in harmonic analysis, with the main themes related to integral geometry, the Radon transform, wavelets and frame themes can loosely be grouped together as follows: Frame Theory and Applications Harmonic Analysis and Function Spaces Harmonic Analysis and Number Theory Integral Geometry and Radon Author: Gestur Olafsson.

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.

Fourier Analysis by Gustaf Gripenberg. This lecture note explains the following topics: Integration theory, Finite Fourier Transform, Fourier Integrals, Fourier Transforms of Distributions, Fourier Series, The Discrete Fourier Transform and The Laplace Transform.

An Introduction to Fourier Analysis Fourier Series, Partial Differential Equations and Fourier Transforms. This note explains the following topics: Infinite Sequences, Infinite Series and Improper Integrals, Fourier Series, The One-Dimensional Wave Equation, The Two-Dimensional Wave Equation, Fourier Transform, Applications of the Fourier Transform, Bessel’s Equation.

The book presents both a broad overview of Fourier analysis and convexity as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis.

Integral geometry and Radon transforms, by Sigurdur Helgason, Generalized Radon transforms and microlocal analysis Group invariant Radon transforms have a beautiful theory, as outlined in the previous sections and described in the book under review.

In this section, we. From Fourier Analysis and Number Theory to Radon Transforms and Geometry. In Memory of Leon Ehrenpreis series:Developments in Mathematics This publication is an outgrowth of a memorial conference for Leon Ehrenpreis held at Temple University, November 15–16, In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this.* the study of Radon transforms * the geometry of numbers * the study of translational tilings using Fourier analysis * irregularities in distributions * Lattice point problems examined in the context of number theory, probability theory, and Fourier analysis * restriction problems for the Fourier transform.Specific topics covered include: * the geometric properties of convex bodies * the study of Radon transforms * the geometry of numbers * the study of translational tilings using Fourier analysis.