American Journal of Mathematics, ISSN 0002-9327, 2019, Volume 141, Issue 4, pp. 1037 - 1085

Let G be a connected reductive group over Q. In this paper, we give the stabilization of the local trace formula...

Trace formulas | Multiplicity (Mathematics) | MATHEMATICS | DISCRETE-SERIES | FUNDAMENTAL LEMMA

Trace formulas | Multiplicity (Mathematics) | MATHEMATICS | DISCRETE-SERIES | FUNDAMENTAL LEMMA

Journal Article

1983, ISBN 3540123237, Volume 1001., vii, 806

Book

3.
Full Text
An Opinion on “Staging” of Infant Formula: A Developmental Perspective on Infant Feeding

Journal of Pediatric Gastroenterology and Nutrition, ISSN 0277-2116, 01/2016, Volume 62, Issue 1, pp. 9 - 21

.... Infant formula, in contrast, has a static composition, intended to meet the nutritional requirements of infants from birth to 6 or 12 months of age...

infant nutrition | human milk | formula-feeding | UNTIL 12 MO | ESCHERICHIA-COLI | CHILDHOOD NUTRITION | BOVINE LACTOFERRIN SUPPLEMENTATION | IRON SUPPLEMENTATION | NUTRITION & DIETETICS | HUMAN-MILK | SYMPOSIUM II INFANT | SALT-STIMULATED LIPASE | PEDIATRICS | ALPHA-LACTALBUMIN | BREAST-FED INFANTS | GASTROENTEROLOGY & HEPATOLOGY | Milk Proteins - metabolism | Infant Formula - metabolism | Trace Elements - metabolism | Infant Nutritional Physiological Phenomena | Humans | Breast Feeding | Infant | Infant Formula - chemistry | Lipid Metabolism | Milk, Human - chemistry | Bottle Feeding - methods | Energy Intake | Milk, Human - physiology | Infant Formula - methods | Probiotics | Child Development - physiology | Minerals - metabolism | Milk, Human - microbiology | Infant, Newborn | Nutritional Requirements - physiology

infant nutrition | human milk | formula-feeding | UNTIL 12 MO | ESCHERICHIA-COLI | CHILDHOOD NUTRITION | BOVINE LACTOFERRIN SUPPLEMENTATION | IRON SUPPLEMENTATION | NUTRITION & DIETETICS | HUMAN-MILK | SYMPOSIUM II INFANT | SALT-STIMULATED LIPASE | PEDIATRICS | ALPHA-LACTALBUMIN | BREAST-FED INFANTS | GASTROENTEROLOGY & HEPATOLOGY | Milk Proteins - metabolism | Infant Formula - metabolism | Trace Elements - metabolism | Infant Nutritional Physiological Phenomena | Humans | Breast Feeding | Infant | Infant Formula - chemistry | Lipid Metabolism | Milk, Human - chemistry | Bottle Feeding - methods | Energy Intake | Milk, Human - physiology | Infant Formula - methods | Probiotics | Child Development - physiology | Minerals - metabolism | Milk, Human - microbiology | Infant, Newborn | Nutritional Requirements - physiology

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 12/2018, Volume 275, Issue 11, pp. 2978 - 3064

We give an exact formula of the average of adjoint L-functions of holomorphic Hilbert cusp forms with a fixed weight and a square-free level, which is a generalization of Zagier's formula known...

Adjoint L-functions | Trace formulas | MATHEMATICS | AUTOMORPHIC L-FUNCTIONS | EISENSTEIN SERIES | PERIODS | SPECIAL VALUES | COEFFICIENTS | DIRICHLET SERIES | Mathematics - Number Theory

Adjoint L-functions | Trace formulas | MATHEMATICS | AUTOMORPHIC L-FUNCTIONS | EISENSTEIN SERIES | PERIODS | SPECIAL VALUES | COEFFICIENTS | DIRICHLET SERIES | Mathematics - Number Theory

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 02/2016, Volume 36, Issue 2, pp. 763 - 784

The present paper is devoted to studying the Hill-type formula and Krein-type trace formula for ODE, which is a continuous work of our previous work for Hamiltonian systems [5...

Krein-type trace formula | S-periodic orbits | Hill-type formula | Hilbert-Schmidt operator | Fredholm determinant | MATHEMATICS | MATHEMATICS, APPLIED | HAMILTONIAN-SYSTEMS | ELLIPTIC LAGRANGIAN SOLUTIONS

Krein-type trace formula | S-periodic orbits | Hill-type formula | Hilbert-Schmidt operator | Fredholm determinant | MATHEMATICS | MATHEMATICS, APPLIED | HAMILTONIAN-SYSTEMS | ELLIPTIC LAGRANGIAN SOLUTIONS

Journal Article

1983, Memoirs of the American Mathematical Society, ISBN 9780821822838, Volume no. 283 (July 1983), iv, 214

Book

02/2019, Annals of Mathematics Studies, ISBN 9780691182148, Volume 360, 321

A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global fieldKin terms of the behavior of...

Mathematics | Weil conjectures

Mathematics | Weil conjectures

eBook

Asia Pacific Journal of Clinical Nutrition, ISSN 0964-7058, 2018, Volume 27, Issue 2, pp. 284 - 292

Formula-based animal milk is an alternative source of infant nutrition in many cases when breastfeeding is unacceptable or inaccessible...

Policy | Human breast milk | Selenium speciation | Food | Infant formula milk | SUBCHRONIC TOXICITY | INORGANIC SELENIUM | SAMPLE PREPARATION | ATOMIC FLUORESCENCE SPECTROMETRY | food | HPLC-ICP-MS | human breast milk | PERFORMANCE LIQUID-CHROMATOGRAPHY | NUTRITION & DIETETICS | infant formula milk | GAS-CHROMATOGRAPHY | PLASMA-MASS SPECTROMETRY | STABLE-ISOTOPE | selenium speciation | SIMULTANEOUS SPECIATION | policy | Selenium - chemistry | Infant Nutritional Physiological Phenomena | Infant Formula - analysis | Humans | Infant | Milk, Human - chemistry | Dietary Supplements | Selenium - administration & dosage

Policy | Human breast milk | Selenium speciation | Food | Infant formula milk | SUBCHRONIC TOXICITY | INORGANIC SELENIUM | SAMPLE PREPARATION | ATOMIC FLUORESCENCE SPECTROMETRY | food | HPLC-ICP-MS | human breast milk | PERFORMANCE LIQUID-CHROMATOGRAPHY | NUTRITION & DIETETICS | infant formula milk | GAS-CHROMATOGRAPHY | PLASMA-MASS SPECTROMETRY | STABLE-ISOTOPE | selenium speciation | SIMULTANEOUS SPECIATION | policy | Selenium - chemistry | Infant Nutritional Physiological Phenomena | Infant Formula - analysis | Humans | Infant | Milk, Human - chemistry | Dietary Supplements | Selenium - administration & dosage

Journal Article

The Journal of nutrition, ISSN 1541-6100, 2016, Volume 146, Issue 3, pp. 551 - 564

.... Objective: The objective of this study was to investigate current evidence on the effects of infant formulas and follow-on formulas with different protein concentrations on infants' and children's growth, body...

infant nutrition | RCT | systematic review | pediatrics | protein | Pediatrics | Systematic review | Infant nutrition | Protein | SERUM TRACE-ELEMENTS | FOLLOW-UP | RATIO | LEVEL | 1ST MONTH | NUTRITION & DIETETICS | FED TERM INFANT | PLASMA AMINO-ACIDS | WEIGHT-GAIN | NUTRITION | REQUIREMENT | Body Composition | Body Mass Index | Dietary Proteins - administration & dosage | Body Weight | Humans | Risk Factors | Child, Preschool | Infant | Infant Formula - chemistry | Randomized Controlled Trials as Topic | Dietary Proteins - analysis | Animals | Obesity - epidemiology | Child | Databases, Factual | Milk | Infant formulas | Milk proteins | Obesity in children | Health aspects | Risk factors

infant nutrition | RCT | systematic review | pediatrics | protein | Pediatrics | Systematic review | Infant nutrition | Protein | SERUM TRACE-ELEMENTS | FOLLOW-UP | RATIO | LEVEL | 1ST MONTH | NUTRITION & DIETETICS | FED TERM INFANT | PLASMA AMINO-ACIDS | WEIGHT-GAIN | NUTRITION | REQUIREMENT | Body Composition | Body Mass Index | Dietary Proteins - administration & dosage | Body Weight | Humans | Risk Factors | Child, Preschool | Infant | Infant Formula - chemistry | Randomized Controlled Trials as Topic | Dietary Proteins - analysis | Animals | Obesity - epidemiology | Child | Databases, Factual | Milk | Infant formulas | Milk proteins | Obesity in children | Health aspects | Risk factors

Journal Article

1991, Lecture notes in mathematics, ISBN 9780387550213, Volume 1503, vi, 97

Book

2011, 1, Annals of mathematics studies, ISBN 0691151296, Volume no. 177, x, 330

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula...

Orbit method | Definite integrals | Differential equations, Hypoelliptic | Laplacian operator | Geometry | Analytic | PBMW | Mathematics | Matrices | PBMS | Mathematical Analysis | Hypoelliptic equations | Index theory and related fixed point theorems | Calculus

Orbit method | Definite integrals | Differential equations, Hypoelliptic | Laplacian operator | Geometry | Analytic | PBMW | Mathematics | Matrices | PBMS | Mathematical Analysis | Hypoelliptic equations | Index theory and related fixed point theorems | Calculus

Book

Communications in Mathematical Physics, ISSN 0010-3616, 4/2018, Volume 359, Issue 2, pp. 449 - 466

Our aim is to prove the integration formula on the noncommutative (Moyal) plane in terms of singular traces a la Connes.

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | TRACES | GEOMETRY | Mathematics - Operator Algebras

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | TRACES | GEOMETRY | Mathematics - Operator Algebras

Journal Article

Mathematische Zeitschrift, ISSN 1432-1823, 2019, Volume 292, Issue 1-2, pp. 529 - 567

...–Selberg trace formula extend to non-compactly supported test functions. The geometric assertion is modulo a hypothesis on root systems proven when the group is split...

Beyond endoscopy | Secondary 11F70 | Twisted trace formula | Primary 11F72 | Mathematics, general | Arthur–Selberg trace formula | Mathematics | Automorphic forms | 22E55 | Rankin–Selberg L -functions | Rankin-Selberg L-functions | MATHEMATICS | Arthur-Selberg trace formula | SPECTRAL SIDE

Beyond endoscopy | Secondary 11F70 | Twisted trace formula | Primary 11F72 | Mathematics, general | Arthur–Selberg trace formula | Mathematics | Automorphic forms | 22E55 | Rankin–Selberg L -functions | Rankin-Selberg L-functions | MATHEMATICS | Arthur-Selberg trace formula | SPECTRAL SIDE

Journal Article

International journal of modern physics. E, Nuclear physics, ISSN 1793-6608, 2019, Volume 28, Issue 8, p. 1950061

.... This damping factor is usually fitted from the experimental data on nuclear-level density and it comes around 0.05 [Formula: see text...

semiclassical trace formula | Level density parameter | NUCLEAR | PHYSICS, NUCLEAR | MODEL | LEVEL DENSITY FORMULA | nuclear damping factor | PHYSICS, PARTICLES & FIELDS

semiclassical trace formula | Level density parameter | NUCLEAR | PHYSICS, NUCLEAR | MODEL | LEVEL DENSITY FORMULA | nuclear damping factor | PHYSICS, PARTICLES & FIELDS

Journal Article

REVISTA MATEMATICA IBEROAMERICANA, ISSN 0213-2230, 2019, Volume 35, Issue 7, pp. 1973 - 1995

Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet L-functions...

MATHEMATICS | SERIES | prime geodesic theorem | Kuznetsov trace formula | generalized Kloosterman sums | MEAN-VALUE | VALUES | Generalized Dirichlet L-functions | symmetric square L-functions | WEIGHT

MATHEMATICS | SERIES | prime geodesic theorem | Kuznetsov trace formula | generalized Kloosterman sums | MEAN-VALUE | VALUES | Generalized Dirichlet L-functions | symmetric square L-functions | WEIGHT

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 08/2019, Volume 267, Issue 4, pp. 2416 - 2447

In this paper, we build up Hill-type formula for linear Hamiltonian systems with Lagrangian boundary conditions, which include standard Neumann, Dirichlet boundary conditions...

Conditional Fredholm determinant | Linear stability | Planar 3-body problem | Hill-type formula | Trace formula | MATHEMATICS | LINEAR PERIODIC-SYSTEMS | STABILITY | ELLIPTIC RELATIVE EQUILIBRIA | INDEX

Conditional Fredholm determinant | Linear stability | Planar 3-body problem | Hill-type formula | Trace formula | MATHEMATICS | LINEAR PERIODIC-SYSTEMS | STABILITY | ELLIPTIC RELATIVE EQUILIBRIA | INDEX

Journal Article

Differential Geometry and its Applications, ISSN 0926-2245, 02/2015, Volume 38, pp. 58 - 68

Harish-Chandra's volume formula shows that the volume of a flag manifold G/T, where the measure is induced by an invariant inner product on the Lie algebra of G, is determined up to a...

Weyl's law | Harish-Chandra's volume formula | Laplace–Beltrami operator | Compact Lie groups | Heat trace expansion | Secondary | Primary | Compact lie groups | Laplace-Beltrami operator | MATHEMATICS | MATHEMATICS, APPLIED | LIE GROUP | MANIFOLDS | Algebra | Manifolds | Theorems | Law | Lie groups | Scalars | Flags | Power series | Invariants

Weyl's law | Harish-Chandra's volume formula | Laplace–Beltrami operator | Compact Lie groups | Heat trace expansion | Secondary | Primary | Compact lie groups | Laplace-Beltrami operator | MATHEMATICS | MATHEMATICS, APPLIED | LIE GROUP | MANIFOLDS | Algebra | Manifolds | Theorems | Law | Lie groups | Scalars | Flags | Power series | Invariants

Journal Article

The Journal of geometric analysis, ISSN 1559-002X, 2017, Volume 28, Issue 2, pp. 1548 - 1596

.... In this setting, we produce local scaling asymptotics in the semiclassical regime for a Berezin-Toeplitz version of the Gutzwiller trace formula, in the spirit of the near-diagonal scaling...

Berezin–Toeplitz quantization | Szego kernel | Toeplitz operator | Local scaling asymptotics | Gutzwiller trace formula | MATHEMATICS | Berezin-Toeplitz quantization | SZEGO KERNELS | OPERATORS

Berezin–Toeplitz quantization | Szego kernel | Toeplitz operator | Local scaling asymptotics | Gutzwiller trace formula | MATHEMATICS | Berezin-Toeplitz quantization | SZEGO KERNELS | OPERATORS

Journal Article

RUSSIAN MATHEMATICAL SURVEYS, ISSN 0036-0279, 04/2019, Volume 74, Issue 2, pp. 325 - 361

The Guillemin-Uribe trace formula is a semiclassical version of the Selberg trace formula and the more general Duistermaat-Guillemin formula for elliptic operators on compact manifolds, which reflects...

trace formula | RIEMANN SURFACES | WAVE INVARIANTS | EIGEN-VALUE-PROBLEM | MATHEMATICS | PERIODIC-ORBITS | CLOSED EXTREMALS | RESOLVENT | magnetic geodesics | AUTOMORPHIC-FORMS | SPECTRUM | magnetic Laplacian | QUANTIZATION | OPERATORS | Operators (mathematics) | Eigenvalues | Magnetic fields | Differential equations

trace formula | RIEMANN SURFACES | WAVE INVARIANTS | EIGEN-VALUE-PROBLEM | MATHEMATICS | PERIODIC-ORBITS | CLOSED EXTREMALS | RESOLVENT | magnetic geodesics | AUTOMORPHIC-FORMS | SPECTRUM | magnetic Laplacian | QUANTIZATION | OPERATORS | Operators (mathematics) | Eigenvalues | Magnetic fields | Differential equations

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 1511 - 1535

We give a simple definition of a spectral shift function for pairs of nonpositive operators on Banach spaces and prove trace formulas of Lifshitz...

47B10 | Mathematics | Banach space | Secondary 47A55 | 47L20 | Operator Theory | Spectral shift function | Analysis | Negative operator | Mathematics, general | Primary 47A56 | Lifshitz–Kreĭn trace formula | Hirsch functional calculus | Perturbation determinant | MATHEMATICS | MATHEMATICS, APPLIED | Lifshitz-Krein trace formula | Nuclear industry

47B10 | Mathematics | Banach space | Secondary 47A55 | 47L20 | Operator Theory | Spectral shift function | Analysis | Negative operator | Mathematics, general | Primary 47A56 | Lifshitz–Kreĭn trace formula | Hirsch functional calculus | Perturbation determinant | MATHEMATICS | MATHEMATICS, APPLIED | Lifshitz-Krein trace formula | Nuclear industry

Journal Article

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