MathSciDoc: An Archive for Mathematician ∫

1

Cousot P, Halbwachs N. Automatic discovery of linear restraints among variables of a program[J]. symposium on principles of programming languages, 1978: 84-96.

2

Gruber P M. Approximation of convex bodies[C]., 1983: 131-162.

3

Adi Benisrael. Linear equations and inequalities on finite dimensional, real or complex, vector spaces: A unified theory. 1969.

4

Heil E, Martini H. Special Convex Bodies[C]., 1993: 347-385.

5

Paul S Muhly · Jean Renault. *-algebras of multivariable Wiener-Hopf operators. 1982.

6

Sontag E D. REAL ADDITION AND THE POLYNOMIAL HIERARCHY[J]. Information Processing Letters, 1985, 20(3): 115-120.

7

Walkup D W, Wets R J. A LIPSCHITZIAN CHARACTERIZATION OF CONVEX POLYHEDRA[J]. Proceedings of the American Mathematical Society, 1969, 23(1): 167-173.

8

Dan Amir · Frank Deutsch. Suns, moons and quasi-polyhedra. 1972.

9

Puente R, De Serio V N. Locally Farkas-Minkowski Linear Inequality Systems[J]. Top, 1999, 7(1): 103-121.

10

Guessab A. Approximations of differentiable convex functions on arbitrary convex polytopes[J]. Applied Mathematics and Computation, 2014: 326-338.

1

Gneiting T. Strictly and non-strictly positive definite functions on spheres[J]. Bernoulli, 2011, 19(4): 1327-1349.

2

Bruzual R. Local semigroups of contractions and some applications to Fourier representation theorems[J]. Integral Equations and Operator Theory, 1987, 10(6): 780-801.

3

Cotlar M, Sadosky C. A lifting theorem for subordinated invariant kernels[J]. Journal of Functional Analysis, 1986, 67(3): 345-359.

4

A E Nussbaum. Integral representation of functions and distributions positive definite relative to the orthogonal group. 1973.

5

Bruzual R, Dominguez M. Extensions of Operator Valued Positive Definite Functions and Commutant Lifting on Ordered Groups[J]. Journal of Functional Analysis, 2001, 185(2): 456-473.

6

Shonkwiler R W. On generalized resolvents and an integral representation of Nevanlinna[J]. Journal of Mathematical Analysis and Applications, 1972, 40(3): 723-734.

7

Jeanpierre Gabardo. Trigonometric moment problems for arbitrary finite subsets of ℤⁿ. 1998.

8

Sasvri Z. Decomposition of positive definite functions defined on a neighbourhood of the identity[J]. Monatshefte für Mathematik, 1987, 104(2): 139-148.

9

Bruzual R. UNITARY EXTENSIONS OF TWO-PARAMETER LOCAL SEMIGROUPS OF ISOMETRIC OPERATORS AND THE KREIN EXTENSION THEOREM[J]. Integral Equations and Operator Theory, 1993, 17(3): 301-321.

10

Stochel J, Szafraniec F H. Unitary dilation of several contractions[C]., 2001: 585-598.

1

Rudin W. Some theorems on Fourier coefficients[J]. Proceedings of the American Mathematical Society, 1959, 10(6): 855-859.

2

Varopoulos N T. Tensor algebras and harmonic analysis[J]. Acta Mathematica, 1967, 119(1): 51-112.

3

Igari S. FUNCTIONS OF L^p-MULTIPLIERS[J]. Tohoku Mathematical Journal, 1969, 21(2): 304-320.

4

Boas R P. Beurling’s test for absolute convergence of Fourier series[J]. Bulletin of the American Mathematical Society, 1960, 66(1): 24-27.

5

Kinukawa M. Contractions of fourier coefficients and Fourier integrals[J]. Journal D Analyse Mathematique, 1960, 8(1): 377-406.

6

Zafran M. The dichotomy problem for homogeneous Banach algebras[J]. Annals of Mathematics, 1978, 108(1).

7

Zafran M. The functions operating on multiplier algebras[J]. Journal of Functional Analysis, 1977, 26(3): 289-314.

8

Dunkl C F. Functions that operate in the Fourier algebra of a compact group[J]. Proceedings of the American Mathematical Society, 1969, 21(3): 540-544.

9

Rider D. Functions which operate in the Fourier algebra of a compact group[J]. Proceedings of the American Mathematical Society, 1971, 28(2): 525-530.

10

Belton A C, Guillot D, Khare A, et al. Matrix positivity preservers in fixed dimension. I[J]. Advances in Mathematics, 2015: 325-368.

1

Jens Marklof · Andreas Strombergsson. The Periodic Lorentz Gas in The Boltzmann–Grad Limit: Asymptotic Estimates. 2010.

2

Strombergsson A. On the limit distribution of Frobenius numbers[J]. Acta Arithmetica, 2011, 152(1): 81-107.

3

Anders Sodergren. On the Poisson distribution of lengths of lattice vectors in a random lattice. 2010.

4

Toth G F. A note on covering by convex bodies[J]. Canadian Mathematical Bulletin, 2009, 52(3): 361-365.

5

Paul T Bateman. The Minkowski-Hlawka theorem in the geometry of numbers. 1962.

1

Gaposhkin V F. LACUNARY SERIES AND INDEPENDENT FUNCTIONS[J]. Russian Mathematical Surveys, 1966, 21(6): 1-82.

2

Kahane J. Lacunary Taylor and Fourier series[J]. Bulletin of the American Mathematical Society, 1964, 70(2): 199-213.

3

Kahane J P, Weiss M, Weiss G, et al. On lacunary power series[J]. Arkiv för Matematik, 1963: 1-26.

4

Kahane J. Gecza Freud and lacunary Fourier series[J]. Journal of Approximation Theory, 1986, 46(1): 51-57.

5

Graham C C, Hare K E. Sets of Zero Discrete Harmonic Density[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 2013, 148(02): 175-186.

6

Murai T. The boundary behaviour of Hadamard lacunary series[J]. Nagoya Mathematical Journal, 1983: 65-76.

7

Murai T. On lacunary series[J]. Nagoya Mathematical Journal, 1982: 87-154.

8

Douglas M Campbell · Ronald J Leach. A survey of Hp multipliers as related to classical function theory. 1984.

9

Wu J. Dimension of level sets of some Rademacher series[J]. Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 1998, 327(1): 29-33.

10

Schaeffer A C. Power series and Peano curves[J]. Duke Mathematical Journal, 1954, 21(2): 383-389.

1

Helgason S. A duality for symmetric spaces with applications to group representations[J]. Advances in Mathematics, 1970, 5(1): 1-154.

2

Sigurdur Helgason. THE RADON TRANSFORM ON EUCLIDEAN SPACES, COMPACT TWO-POINT HOMOGENEOUS SPACES AND GRASSMANN MANIFOLDS. 1965.

3

Gardner R J, Rogers C A. A positive answer to the Busemann-Petty problem in three dimensions[J]. Annals of Mathematics, 2016, 140(2).

4

Louis A K, Natterer F. Mathematical problems of computerized tomography[J]. Proceedings of the IEEE, 1983, 71(3): 379-389.

5

Solmon D C. The x-ray transform[J]. Journal of Mathematical Analysis and Applications, 1976, 56(1): 61-83.

6

Santalo L. Integral Geometry in Projective and Affine Spaces[J]. Annals of Mathematics, 2009, 51(3).

7

Koldobsky A, Paouris G, Zymonopoulou M, et al. Complex intersection bodies[J]. Journal of The London Mathematical Society-second Series, 2013, 88(2): 538-562.

8

Quinto E T. The dependence of the generalized Radon transform on defining measures[J]. Transactions of the American Mathematical Society, 1980, 257(2): 331-346.

9

Ramesh Gangolli. Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces. 1968.

10

Greenfield S J, Wallach N R. Global hypoellipticity and Liouville numbers[J]. Proceedings of the American Mathematical Society, 1972, 31(1): 112-114.

1

Durand A, Mazliak L. Revisiting the Sources of Borel\u0027s Interest in Probability: Continued Fractions, Social Involvement, Volterra\u0027s Prolusione[J]. Centaurus, 2011, 53(4): 306-332.

1

Donoho D L, Tanner J. Neighborliness of randomly projected simplices in high dimensions[J]. Proceedings of the National Academy of Sciences of the United States of America, 2005, 102(27): 9452-9457.

2

Donoho D L, Tanner J. Counting faces of randomly projected polytopes when the projection radically lowers dimension[J]. Journal of the American Mathematical Society, 2009, 22(1): 1-53.

3

David L Donoho. High-Dimensional Centrally Symmetric Polytopes with Neighborliness Proportional to Dimension ∗. 2005.

4

Affentranger F, Schneider R. Random projections of regular simplices[J]. Discrete and Computational Geometry, 1992, 7(3): 219-226.

5

Donoho D L, Tanner J. Exponential Bounds Implying Construction of Compressed Sensing Matrices, Error-Correcting Codes, and Neighborly Polytopes by Random Sampling[J]. IEEE Transactions on Information Theory, 2010, 56(4): 2002-2016.

6

Brczky K, Henk M. Random projections of regular polytopes[J]. Archiv der Mathematik, 1999, 73(6): 465-473.

7

Stojnic M. -Optimization in Block-Sparse Compressed Sensing and Its Strong Thresholds[J]. IEEE Journal of Selected Topics in Signal Processing, 2010, 4(2): 350-357.

8

Betke U, Henk M. Intrinsic volumes and lattice points of crosspolytopes[J]. Monatshefte für Mathematik, 1993: 27-33.

9

Mccoy M B, Tropp J A. Sharp Recovery Bounds for Convex Demixing, with Applications[J]. Foundations of Computational Mathematics, 2014, 14(3): 503-567.

10

Hadwiger H. Gitterpunktanzahl im Simplex und Wills\u0027sche Vermutung[J]. Mathematische Annalen, 1979, 239(3): 271-288.

1

Hamidoune Y O, Llado A S, Serra O, et al. Vosperian and superconnected Abelian Cayley digraphs[J]. Graphs and Combinatorics, 1991, 7(2): 143-152.

2

Bilu Y, Lev V F, Ruzsa I Z, et al. Rectification Principles in Additive Number Theory[J]. Discrete and Computational Geometry, 1998, 19(3): 343-353.

3

Lev V F, Łuczak T, Schoen T, et al. Sum-free sets in abelian groups[J]. Israel Journal of Mathematics, 2001, 125(1): 347-367.

4

Bollobas B, Leader I. Sums in the grid[J]. Discrete Mathematics, 1996, 162(1): 31-48.

5

Bilu Y. Addition of Sets of Integers of Positive Density[J]. Journal of Number Theory, 1997, 64(2): 233-275.

6

Diderrich G T. An addition theorem for Abelian groups of order pq[J]. Journal of Number Theory, 1975, 7(1): 33-48.

7

Grynkiewicz D J. On a partition analog of the Cauchy-Davenport theorem[J]. Acta Mathematica Hungarica, 2005: 161-174.

8

Bruen A A, Haddad L, Wehlau D L, et al. Binary codes and caps[J]. Journal of Combinatorial Designs, 1998, 6(4): 275-284.

9

Grynkiewicz D J. On a Conjecture of Hamidoune for Subsequence Sums[C]., 2005.

10

Lev V F. CRITICAL PAIRS IN ABELIAN GROUPS AND KEMPERMAN\u0027S STRUCTURE THEOREM[J]. International Journal of Number Theory, 2005, 02(03): 379-396.