BN.com Gift Guide

Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation

Overview

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctionsof the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular ...

See more details below
Other sellers (Hardcover)
  • All (8) from $95.60   
  • New (6) from $95.60   
  • Used (2) from $120.06   
Sending request ...

Overview

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctionsof the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool.

The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide rangeof scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.

Read More Show Less

Product Details

  • ISBN-13: 9781461482581
  • Publisher: Springer US
  • Publication date: 10/31/2013
  • Series: Applied Mathematical Sciences Series , #187
  • Edition description: 2013
  • Edition number: 1
  • Pages: 379
  • Product dimensions: 6.10 (w) x 9.25 (h) x 0.88 (d)

Meet the Author

Andrei Osipov is a Professor atYale University in theDepartment of Mathematics.Vladimir Rokhlin is a Professor at Yale University in theDepartment of Computer Science. Hong Xiao isa Professor at University of California, Davis in the Department of Computer Science.

Read More Show Less

Table of Contents

‚ÄčIntroduction.- Mathematical and Numerical Preliminaries.- Overview.-Analysis of the Differential Operator.-Analysis of the Integral Operator.-Rational Approximations of PSWFs.-Miscellaneous Properties of PSWFs.-Asymptotic Analysis of PSWFs.-Quadrature Rules and Interpolation via PSWFs.-Numerical Algorithms‚Äč.-
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)