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Kac-Bernstein and Skitovich-Darmois Theorem / (Record no. 191062)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01554nam a2200253Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 231212s9999 xx 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789392359392 |
| Qualifying information | hbk. |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.743 |
| Item number | SER |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Author name | Serganova, Dieudonné |
| 245 #0 - TITLE STATEMENT | |
| Title | Kac-Bernstein and Skitovich-Darmois Theorem / |
| Statement of responsibility, etc. | Dieudonné Serganova. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | India : |
| Name of publisher, distributor, etc. | Phoenix, |
| Date of publication, distribution, etc. | 2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xii, 245 p. : |
| Dimensions | 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preliminaries. Gaussian Distributions on locally compact Abelian groups. The Kac–Bernstein Theorem for locally compact Abelian groups. The Skitovich–Darmois Theorem for locally compact Abelian groups. The Skitovich–Darmois Theorem for locally compact Abelian groups. (the general case). The Heyde Theorem for locally compact Abelian groups. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This monograph presents the classical Kac–Bernstein and Skitovich–Darmois characterization theorems, which identify the Gaussian (normal) distribution through independence properties of random variables. It develops the mathematical foundations of these theorems, provides rigorous proofs, discusses extensions to locally compact Abelian groups, and examines related functional equations and applications in probability theory and harmonic analysis. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| Topical term or geographic name entry element | Preliminaries. |
| Topical term or geographic name entry element | Gaussian Distributions on locally compact Abelian groups. |
| Topical term or geographic name entry element | The Kac–Bernstein Theorem for locally compact Abelian groups. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Koha item type | Home library | Current library | Shelving location | Date acquired | Accession Number | Full call number | Withdrawn status | Lost status | Not for loan | Collection |
|---|---|---|---|---|---|---|---|---|---|---|
| Reference | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315593 | 512.743 SER | ENGLISH-REFERENCE BOOKS | |||
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315594 | 512.743 SER | ENGLISH - LENDING BOOKS | |||
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315595 | 512.743 SER | ENGLISH - LENDING BOOKS |