Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1566879
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Michel Bruneau
Title:
Variation totale d'une fonction
Additional book information:
Lecture Notes in Mathematics, vol. 413, Springer-Verlag, Berlin, 1974, 332 + xiv pp., $12.30.
Benjamin H. Browne, A measure on the real line constructed from an arbitrary point function, Proc. London Math. Soc. (3) 27 (1973), 1–21. MR 325905, DOI 10.1112/plms/s3-27.1.1
J. C. Burkill and F. W. Gehring, A scale of integrals from Lebesgue’s to Denjoy’s, Quart. J. Math. Oxford Ser. (2) 4 (1953), 210–220. MR 57307, DOI 10.1093/qmath/4.1.210
Roy O. Davies and C. A. Rogers, The problem of subsets of finite positive measure, Bull. London Math. Soc. 1 (1969), 47–54. MR 240267, DOI 10.1112/blms/1.1.47
F. W. Gehring, A study of $\alpha$-variation. I, Trans. Amer. Math. Soc. 76 (1954), 420–443. MR 64859, DOI 10.1090/S0002-9947-1954-0064859-9
D. G. Larman, Subsets of given Hausdorff measure in connected spaces, Quart. J. Math. Oxford Ser. (2) 17 (1966), 239–243. MR 201597, DOI 10.1093/qmath/17.1.239
6. E. R. Love and L. C. Young, Sur une classe de fonctionnelles linéaires, Fund. Math. 28 (1937), 243-257.
S. J. Taylor, Exact asymptotic estimates of Brownian path variation, Duke Math. J. 39 (1972), 219–241. MR 295434
Hubert Tietz, Permanenz- und Taubersätze bei $p$ $V$-Summierung, J. Reine Angew. Math. 260 (1973), 151–177 (German). MR 322392, DOI 10.1515/crll.1973.260.151
9. N. Wiener, The quadratic variation of a function and its Fourier coefficients, J. Math. Physics 3 (1924), 72-94.
L. C. Young, An inequality of the Hölder type, connected with Stieltjes integration, Acta Math. 67 (1936), no. 1, 251–282. MR 1555421, DOI 10.1007/BF02401743
- 1.
- B. H. Browne, A measure on the real line constructed from an arbitrary point function, Proc. London Math. Soc. (3) 27 (1973), 1-21. MR 48 #4251. MR 0325905
- 2.
- J. C. Burkill and F. W. Gehring, A scale of integrals from Lebesgue's to Denjoy's, Quart. J. Math. Oxford Ser. (2) 4 (1953), 210-220. MR 15, 204. MR 57307
- 3.
- R. O. Davies and C. A. Rogers, The problem of subsets of finite positive measure, Bull. London Math. Soc. 1 (1969), 47-54. MR 39 #1616. MR 240267
- 4.
- F. W. Gehring, A study of α-variation. I, Trans. Amer. Math. Soc. 76 (1954), 420-443. MR 16, 364. MR 64859
- 5.
- D. G. Larman, Subsets of given Hausdorff measure in connected spaces, Quart. J. Math. Oxford Ser. (2) 17 (1966), 239-243. MR 34 # 1479. MR 201597
- 6.
- E. R. Love and L. C. Young, Sur une classe de fonctionnelles linéaires, Fund. Math. 28 (1937), 243-257.
- 7.
- S. J. Taylor, Exact asymptotic estimates of Brownian path variation, Duke Math. J. 39 (1972), 219-241. MR 45 #4500. MR 295434
- 8.
- H. Tietz, Permanenz- und Taubersätze bei pV-Summierung, J. Reine Angew. Math. 260 (1973), 151-177. MR 48 #754. MR 322392
- 9.
- N. Wiener, The quadratic variation of a function and its Fourier coefficients, J. Math. Physics 3 (1924), 72-94.
- 10.
- L. C. Young, An inequality of Hölder type, connected with Stieltjes integration, Acta Math. 67 (1936), 251-282. MR 1555421
Review Information:
Reviewer:
F. W. Gehring
Journal:
Bull. Amer. Math. Soc.
82 (1976), 532-535
DOI:
https://doi.org/10.1090/S0002-9904-1976-14085-2
