Inequalities: Selecta of Elliott H. Lieb

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Springer Science & Business Media, Feb 24, 2003 - Mathematics - 711 pages
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Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
 

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Contents

I
33
II
43
III
47
IV
59
V
63
VI
67
VII
81
VIII
91
XXVIII
345
XXIX
359
XXX
367
XXXI
377
XXXII
391
XXXIII
403
XXXIV
417
XXXV
441

IX
95
X
101
XI
109
XII
113
XIII
135
XIV
141
XV
147
XVI
151
XVII
171
XVIII
191
XIX
203
XX
239
XXI
243
XXII
255
XXIII
269
XXIV
305
XXV
313
XXVI
317
XXVII
329
XXXVI
465
XXXVII
479
XXXVIII
483
XXXIX
497
XL
515
XLI
523
XLII
529
XLIII
555
XLIV
563
XLV
581
XLVI
595
XLVII
625
XLVIII
633
XLIX
637
L
641
LI
663
LII
679
LIII
695
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