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Erwin Lutwak

Full Professor Mathematics

    1975 …2019
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    Research Output

    • 74 Article
    • 5 Chapter (peer-reviewed)
    • 1 Editorial
    1975

    Dual cross-sectional measures

    Lutwak, E., 1975, In : Atti Acccad Naz Lincei Rend Cl Sci Fis Mat Natur. 58, p. 1-5

    Research output: Contribution to journalArticle

    Dual mixed volumes

    Lutwak, E., 1975, In : Pacific Journal of Mathematics. 58, 2, p. 531-538

    Research output: Contribution to journalArticle

    General Bieberbach inequality

    Lutwak, E., 1975, In : Mathematical Proceedings of the Cambridge Philosophical Society. 78, NOV, p. 493-495

    Research output: Contribution to journalArticle

    Width-integrals of convex bodies

    Lutwak, E., 1975, In : Proceedings of the American Mathematical Society. 53, 2, p. 435-439

    Research output: Contribution to journalArticle

    1976

    A dual of the isepiphanic inequality

    Lutwak, E., Dec 1976, In : Archiv der Mathematik. 27, 1, p. 206-208 3 p.

    Research output: Contribution to journalArticle

    Characterization of the n-dimensional parallelotope

    Guggenheimer, H. & Lutwak, E., 1976, In : American Mathematical Monthly. 83, 6, p. 475-478

    Research output: Contribution to journalArticle

    On cross-sectional measures of polar reciprocal convex bodies

    Lutwak, E., May 1976, In : Geometriae Dedicata. 5, 1, p. 79-80 2 p.

    Research output: Contribution to journalArticle

    1977

    Mixed width-integrals of convex bodies

    Lutwak, E., Sep 1977, In : Israel Journal of Mathematics. 28, 3, p. 249-253 5 p.

    Research output: Contribution to journalArticle

    1978
    1979

    Isoperimetric inequalities related to a problem of Moser

    Lutwak, E., 1979, In : American Mathematical Monthly. 86, 6, p. 476-477

    Research output: Contribution to journalArticle

    Mean dual and harmonic cross-sectional measures

    Lutwak, E., Dec 1979, In : Annali di Matematica Pura ed Applicata, Series 4. 119, 1, p. 139-148 10 p.

    Research output: Contribution to journalArticle

    On a complementary Minkowski inequality

    Lutwak, E., 1979, In : Journal of Mathematical Analysis and Applications. 72, 1, p. 70-74 5 p.

    Research output: Contribution to journalArticle

    1980

    Isoperimetric inequalities involving bisectors

    Lutwak, E., 1980, In : Bulletin of the London Mathematical Society. 12, p. 289-295

    Research output: Contribution to journalArticle

    1982

    On packing curves into circles

    Lutwak, E., 1982, Convexity and related combinatorial geometry: Norman, Oklahoma 1980. 107111. (Lecture Notes in Pure and Applied Mathematics; vol. 76).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1983

    A width-diameter inequality for convex bodies

    Lutwak, E., Apr 30 1983, In : Journal of Mathematical Analysis and Applications. 93, 1, p. 290-295 6 p.

    Research output: Contribution to journalArticle

    1984

    A general isepiphanic inequality

    Lutwak, E., 1984, In : Proceedings of the American Mathematical Society. 90, 3, p. 415-421 7 p.

    Research output: Contribution to journalArticle

    On power means of positive quadratic forms

    Lutwak, E., 1984, In : Linear Algebra and Its Applications. 57, C, p. 13-19 7 p.

    Research output: Contribution to journalArticle

    1985

    INTRODUCTION

    Goodman, J. E., Lutwak, E., Malkevitch, J. & Pollack, R., 1985, In : Annals of the New York Academy of Sciences. 440, 1, p. ix-xii

    Research output: Contribution to journalEditorial

    Mixed projection inequalities

    Lutwak, E., 1985, In : Transactions of the American Mathematical Society. 287, 1, p. 91-106 16 p.

    Research output: Contribution to journalArticle

    ON THE BLASCHKE‐SANTALÓ INEQUALITY

    Lutwak, E., 1985, In : Annals of the New York Academy of Sciences. 440, 1, p. 106-112 7 p.

    Research output: Contribution to journalArticle

    PREFACE

    Goodman, J. E., Lutwak, E., Malkevitch, J. & Pollack, R., 1985, In : Annals of the New York Academy of Sciences. 440, 1, p. vii-xii

    Research output: Contribution to journalArticle

    1986

    On some affine isoperimetric inequalities

    Lutwak, E., 1986, In : Journal of Differential Geometry. 23, 1, p. 1-13 13 p.

    Research output: Contribution to journalArticle

    Volume of mixed bodies

    Lutwak, E., Apr 1986, In : Transactions of the American Mathematical Society. 294, 2, p. 487-500

    Research output: Contribution to journalArticle

    1987

    Mixed affine surface area

    Lutwak, E., Aug 1 1987, In : Journal of Mathematical Analysis and Applications. 125, 2, p. 351-360 10 p.

    Research output: Contribution to journalArticle

    Rotation means of projections

    Lutwak, E., Jun 1987, In : Israel Journal of Mathematics. 58, 2, p. 161-169 9 p.

    Research output: Contribution to journalArticle

    1988

    Inequalities for Hadwiger's harmonic quermassintegrals

    Lutwak, E., Mar 1988, In : Mathematische Annalen. 280, 1, p. 165-175 11 p.

    Research output: Contribution to journalArticle

    Intersection bodies and dual mixed volumes

    Lutwak, E., 1988, In : Advances in Mathematics. 71, 2, p. 232-261 30 p.

    Research output: Contribution to journalArticle

    1989

    On a conjectured projection inequality of Petty

    Lutwak, E., 1989, Integral geometry and tomography: Arcata CA. American Mathematical Society, p. 171-182 (Contemporary Mathematics; vol. 113).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1990

    Centroid bodies and dual mixed volumes

    Lutwak, E., 1990, In : Proceedings of the London Mathematical Society. s3-60, 2, p. 365-391 27 p.

    Research output: Contribution to journalArticle

    On Quermassintegrals of mixed projection bodies

    Lutwak, E., Jan 1990, In : Geometriae Dedicata. 33, 1, p. 51-58 8 p.

    Research output: Contribution to journalArticle

    On the affine isoperimetric inequality

    Lutwak, E., 1990, Differential geometry and its applications. Brno (ed.). World Scientific Publishing, p. 109-118

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1991

    Extended affine surface area

    Lutwak, E., 1991, In : Advances in Mathematics. 85, 1, p. 39-68 30 p.

    Research output: Contribution to journalArticle

    1992

    On the Petty-Schneider theorem

    Lutwak, E., 1992, Geometric analysis: Proceedings of an AMS special session held October 12-13, 1991. American Mathematical Society, p. 31-37 (Contemporary Mathematics; vol. 140).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    On the semicontinuity of curvatures

    Lutwak, E., Dec 1992, In : Commentarii Mathematici Helvetici. 67, 1, p. 664-669 6 p.

    Research output: Contribution to journalArticle

    1993

    A Minimax Inequality for Inscribed Cones

    Lutwak, E., Jun 1993, In : Journal of Mathematical Analysis and Applications. 176, 1, p. 148-155 8 p.

    Research output: Contribution to journalArticle

    Inequalities for mixed projection bodies

    Lutwak, E., Oct 1993, In : Transactions of the American Mathematical Society. 339, 2, p. 901-916

    Research output: Contribution to journalArticle

    Selected affine isoperimetric inequalities

    Lutwak, E., 1993, Handbook of convex geometry. Amsterdam: North-Holland, Vol. A,B. p. 151-176

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    The brunn-minkowski-firey theory I: Mixed volumes and the minkowski problem

    Lutwak, E., 1993, In : Journal of Differential Geometry. 38, 1, p. 131-150 20 p.

    Research output: Contribution to journalArticle

    1995

    On the regularity of solutions to a generalization of the Minkowski problem

    Lutwak, E. & Oliker, V., Jan 1995, In : Journal of Differential Geometry. 41, 1, p. 227-246

    Research output: Contribution to journalArticle

    1996

    Functional analytic characterizations of classes of convex bodies

    Goodey, P., Lutwak, E. & Weil, W., Jul 1996, In : Mathematische Zeitschrift. 222, 3, p. 363-381 19 p.

    Research output: Contribution to journalArticle

    The Brunn-Minkowski-Firey theory II: Affine and geominimal surface areas

    Lutwak, E., Mar 25 1996, In : Advances in Mathematics. 118, 2, p. 244-294 51 p.

    Research output: Contribution to journalArticle

    1997

    Blaschke-Santaló inequalities

    Lutwak, E. & Zhang, G., Sep 1997, In : Journal of Differential Geometry. 47, 1, p. 1-16 16 p.

    Research output: Contribution to journalArticle

    Bodies with similar projections

    Chakerian, G. D. & Lutwak, B., 1997, In : Transactions of the American Mathematical Society. 349, 5, p. 1811-1820 10 p.

    Research output: Contribution to journalArticle

    Inequalities for Mean Circumscribing Simplices

    Lutwak, E., 1997, In : Geometriae Dedicata. 66, 1, p. 119-124 6 p.

    Research output: Contribution to journalArticle

    1998

    Containment and circumscribing simplices

    Lutwak, E., 1998, In : Discrete and Computational Geometry. 19, 2, p. 229-235 7 p.

    Research output: Contribution to journalArticle

    2000

    A new ellipsoid associated with convex bodies

    Lutwak, E., Yang, D. & Zhang, G., Sep 15 2000, In : Duke Mathematical Journal. 104, 3, p. 375-390 16 p.

    Research output: Contribution to journalArticle

    Lp affine isoperimetric inequalities

    Lutwak, E., Yang, D. & Zhang, G., Sep 2000, In : Journal of Differential Geometry. 56, 1, p. 111-132 22 p.

    Research output: Contribution to journalArticle

    2001
    2002

    Information-theoretic inequalities for contoured probability distributions

    Guleryuz, O. G., Lutwak, E., Yang, D. & Zhang, G., Aug 2002, In : IEEE Transactions on Information Theory. 48, 8, p. 2377-2383 7 p.

    Research output: Contribution to journalArticle