Measures and integrals
著者
書誌事項
Measures and integrals
(Annals of mathematics studies, no. 21 . Functional operators ; v. 1)
Princeton Univ. Press, 1950
- タイトル別名
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Functional operators, vol. 1
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内容説明・目次
内容説明
Geometry of orthogonal spaces.
目次
*Frontmatter, pg. i*FOREWORD, pg. v*CHAPTER I . POINT SET THEORY, pg. 1*CHAPTER II . OUTER MEASURE, pg. 12*CHAPTER III. MEASURE, pg. 15*CHAPTER IV. INNER MEASURE, pg. 24*CHAPTER V. INVARIANCE OF MEASURE UNDER.TRANSFORMATIONS, pg. 27*CHAPTER VI. COVERING THEOREMS, pg. 32*CHAPTER VII. NON-MEASURABLE SETS, pg. 38*CHAPTER VIII. LEBESGUE INTEGRAL, pg. 42*CHAPTER IX. MONOTONIC FUNCTIONS, pg. 63*CHAPTER X. GENERAL MEASURE FUNCTIONS AND OUTER MEASURES, pg. 83*CHAPTER XI. PROPERTIES OF THE GENERAL INTEGRAL, pg. 174
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