Approximation Theory and Harmonic Analysis on Spheres and Balls (Record no. 44684)
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| 000 -LEADER | |
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| fixed length control field | 03557nam a22005417a 4500 |
| 001 - CONTROL NUMBER | |
| control field | sulb-eb0022592 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | BD-SySUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20160413122308.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130417s2013 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781461466604 |
| -- | 978-1-4614-6660-4 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-1-4614-6660-4 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA299.6-433 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBK |
| Source | bicssc |
| Subject category code | MAT034000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Dai, Feng. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Approximation Theory and Harmonic Analysis on Spheres and Balls |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | by Feng Dai, Yuan Xu. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | New York, NY : |
| Name of producer, publisher, distributor, manufacturer | Springer New York : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XVIII, 440 p. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Springer Monographs in Mathematics, |
| International Standard Serial Number | 1439-7382 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Spherical Harmonics -- 2 Convolution and Spherical Harmonic Expansion -- 3 Littlewood-Paley Theory and Multiplier Theorem -- 4 Approximation on the Sphere -- 5 Weighted Polynomial Inequalities -- 6 Cubature Formulas on Spheres -- 7 Harmonic Analysis Associated to Reflection Groups -- 8 Boundedness of Projection Operator and Cesàro Means -- 9 Projection Operators and Cesàro Means in L^p Spaces -- 10 Weighted Best Approximation by Polynomials -- 11 Harmonic Analysis on the Unit Ball -- 12 Polynomial Approximation on the Unit Ball -- 13 Harmonic Analysis on the Simplex -- 14 Applications -- A Distance, Difference and Integral Formulas -- B Jacobi and Related Orthogonal Polynomials -- References -- Index -- Symbol Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area. While the first part of the book contains mainstream material on the subject, the second and the third parts deal with more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes. The last part of the book features several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography. This book is directed at researchers and advanced graduate students in analysis. Mathematicians who are familiar with Fourier analysis and harmonic analysis will understand many of the concepts that appear in this manuscript: spherical harmonics, the Hardy-Littlewood maximal function, the Marcinkiewicz multiplier theorem, the Riesz transform, and doubling weights are all familiar tools to researchers in this area. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Mathematical analysis. |
| Topical term or geographic name as entry element | Analysis (Mathematics). |
| Topical term or geographic name as entry element | Approximation theory. |
| Topical term or geographic name as entry element | Fourier analysis. |
| Topical term or geographic name as entry element | Special functions. |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Analysis. |
| Topical term or geographic name as entry element | Approximations and Expansions. |
| Topical term or geographic name as entry element | Fourier Analysis. |
| Topical term or geographic name as entry element | Special Functions. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Xu, Yuan. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9781461466598 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Springer Monographs in Mathematics, |
| International Standard Serial Number | 1439-7382 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-1-4614-6660-4">http://dx.doi.org/10.1007/978-1-4614-6660-4</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | |
No items available.