Classical real analysis

Contributor(s): Waterman DanielMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 42Publication details: Providence, R.I. : American Mathematical Society, c1985Description: 1 online resource (ix, 216 p.)ISBN: 9780821876275 (online)Subject(s): Functions of real variablesOnline resources: Click here to access online
Contents:
Cesari spaces and Sobolev spaces in surface area and localization for multiple Fourier series ; An unusual descriptive definition of integral ; Path derivatives: a unified view of certain generalized derivatives ; Baire one, null functions ; Monotone approximation on an interval ; Two remarks on the measure of product sets ; Monotonicity, symmetry, and smoothness ; The structure of continuous functions which satisfy Lusin's condition Casper Goffman ; B Bongiorno and D Preiss ; A M Bruckner R J O'Malley and B S Thomson ; A M Bruckner J Marik and C E Weil ; Richard Darst and Robert Huotari ; Roy O Davies ; Michael J Evans and Lee Larson ; James Foran ; K M Garg ; P D Humke and B S Thomson ; Lee Larson ; Cheng Ming Lee ; David Legg ; Fon Che Liu ; Jan Marik ; J H Michael and William P Ziemer ; C J Neugebauer ; Togo Nishiura ; L Di Piazza and C Maniscalco ; B S Thomson ; Si Lei Wang ; Daniel Waterman ; Robert E Zink
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Proceedings of the Special Session on Classical Real Analysis, 794th meeting of the American Mathematical Society, held in Madison, Wisconsin, April 1617, 1982.Verso t.p.

Includes bibliographies.

Cesari spaces and Sobolev spaces in surface area and localization for multiple Fourier series ; An unusual descriptive definition of integral ; Path derivatives: a unified view of certain generalized derivatives ; Baire one, null functions ; Monotone approximation on an interval ; Two remarks on the measure of product sets ; Monotonicity, symmetry, and smoothness ; The structure of continuous functions which satisfy Lusin's condition \rm N) ; Construction of absolutely continuous and singular functions that are nowhere of monotonic type ; A porosity characterization of symmetric perfect sets ; A method for showing generalized derivatives are in Baire class one ; On generalizations of exact Peano derivatives ; Best monotone approximation in _\infty [0,1] ; Representation of lattices and extension of measures ; Transformation and multiplication of derivatives ; A Lusin type approximation of Sobolev functions by smooth functions ; Some properties of Fourier series with gaps ; An extension of Thunsdorff's integral inequality to a class of monotone functions ; On generalized bounded variation ; On the level set structure of a continuous function ; Some properties of the LittlewoodPaley unction ; Changeofvariable invariant classes of functions and convergence of Fourier series ; Schauder bases for ^p[0,1] derived from subsystems of the Schauder system Casper Goffman ; B Bongiorno and D Preiss ; A M Bruckner R J O'Malley and B S Thomson ; A M Bruckner J Marik and C E Weil ; Richard Darst and Robert Huotari ; Roy O Davies ; Michael J Evans and Lee Larson ; James Foran ; K M Garg ; P D Humke and B S Thomson ; Lee Larson ; Cheng Ming Lee ; David Legg ; Fon Che Liu ; Jan Marik ; J H Michael and William P Ziemer ; C J Neugebauer ; Togo Nishiura ; L Di Piazza and C Maniscalco ; B S Thomson ; Si Lei Wang ; Daniel Waterman ; Robert E Zink

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