The Resource Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)
Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)
Resource Information
The item Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- Summary
- The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration
- Language
- eng
- Extent
- XII, 222 p. 5 illus., 2 illus. in color.
- Contents
-
- Foreword
- Introduction
- Chapter 1. Basic properties of the Fourier transform
- Chapter 2. Oscillatory integrals and Fourier transforms in one variable
- Chapter 3. The Fourier transform of an oscillating function
- Chapter 4. The Fourier transform of a radial function
- Chapter 5. Multivariate extensions
- Appendix
- Bibliography
- Isbn
- 9783034806251
- Label
- Decay of the Fourier Transform : Analytic and Geometric Aspects
- Title
- Decay of the Fourier Transform
- Title remainder
- Analytic and Geometric Aspects
- Statement of responsibility
- by Alex Iosevich, Elijah Liflyand
- Language
- eng
- Summary
- The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration
- http://library.link/vocab/creatorName
- Iosevich, Alex
- Image bit depth
- 0
- Literary form
- non fiction
- http://library.link/vocab/relatedWorkOrContributorName
-
- Liflyand, Elijah.
- SpringerLink (Online service)
- http://library.link/vocab/subjectName
-
- Mathematics
- Mathematical analysis
- Analysis (Mathematics)
- Fourier analysis
- Label
- Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- Foreword -- Introduction -- Chapter 1. Basic properties of the Fourier transform -- Chapter 2. Oscillatory integrals and Fourier transforms in one variable -- Chapter 3. The Fourier transform of an oscillating function -- Chapter 4. The Fourier transform of a radial function -- Chapter 5. Multivariate extensions -- Appendix -- Bibliography
- Control code
- 978-3-0348-0625-1
- Dimensions
- unknown
- Extent
- XII, 222 p. 5 illus., 2 illus. in color.
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783034806251
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-3-0348-0625-1
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1086526600
- Label
- Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- Foreword -- Introduction -- Chapter 1. Basic properties of the Fourier transform -- Chapter 2. Oscillatory integrals and Fourier transforms in one variable -- Chapter 3. The Fourier transform of an oscillating function -- Chapter 4. The Fourier transform of a radial function -- Chapter 5. Multivariate extensions -- Appendix -- Bibliography
- Control code
- 978-3-0348-0625-1
- Dimensions
- unknown
- Extent
- XII, 222 p. 5 illus., 2 illus. in color.
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783034806251
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-3-0348-0625-1
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1086526600
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Decay-of-the-Fourier-Transform--Analytic-and/VR9_gq_l79g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Decay-of-the-Fourier-Transform--Analytic-and/VR9_gq_l79g/">Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Decay-of-the-Fourier-Transform--Analytic-and/VR9_gq_l79g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Decay-of-the-Fourier-Transform--Analytic-and/VR9_gq_l79g/">Decay of the Fourier Transform : Analytic and Geometric Aspects, by Alex Iosevich, Elijah Liflyand, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>